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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Educ.</journal-id>
<journal-title>Frontiers in Education</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Educ.</abbrev-journal-title>
<issn pub-type="epub">2504-284X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
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<article-meta>
<article-id pub-id-type="doi">10.3389/feduc.2023.1242876</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Education</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Filling a gap: initial evidence for reliable and valid measures of students&#x2019; self-concept, self-efficacy, and interest in science with elementary students traditionally underrepresented in STEM</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes" equal-contrib="yes">
<name>
<surname>Gagnier</surname>
<given-names>Kristin Michod</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<xref ref-type="author-notes" rid="fn0003"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2192208/overview"/>
</contrib>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Holochwost</surname>
<given-names>Steven J.</given-names>
</name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="author-notes" rid="fn0003"><sup>&#x2020;</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/858478/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ceren</surname>
<given-names>Melissa</given-names>
</name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fisher</surname>
<given-names>Kelly R.</given-names>
</name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<uri xlink:href="https://loop.frontiersin.org/people/2574143/overview"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>AnLar LLC</institution>, <addr-line>Arlington, VA</addr-line>, <country>United States</country></aff>
<aff id="aff2"><sup>2</sup><institution>Science of Learning Institute Johns Hopkins University</institution>, <addr-line>Baltimore, MD</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Lehman College, The City University of New York</institution>, <addr-line>Bronx, NY</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>The Graduate Center, The City University of New York</institution>, <addr-line>New York, NY</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by" id="fn0004">
<p>Edited by: Andr&#x00E9; Bresges, University of Cologne, Germany</p>
</fn>
<fn fn-type="edited-by" id="fn0005">
<p>Reviewed by: Michael D. Broda, Virginia Commonwealth University, United States</p>
<p>Kathleen Falconer, University of Cologne, Germany</p>
</fn>
<corresp id="c001">&#x002A;Correspondence: Kristin Michod Gagnier, <email>kgagnier@anlar.com</email></corresp>
<fn fn-type="equal" id="fn0003">
<p><sup>&#x2020;</sup>These authors share first authorship</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>13</day>
<month>03</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>8</volume>
<elocation-id>1242876</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>06</month>
<year>2023</year>
</date>
<date date-type="accepted">
<day>29</day>
<month>12</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2024 Gagnier, Holochwost, Ceren and Fisher.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Gagnier, Holochwost, Ceren and Fisher</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>American students continue to perform poorly on national and international assessments of Science, Technology, Engineering, and Mathematics (STEM) competencies, and achievement gaps spanning racial/ethnic and socioeconomic lines emerge early and widen over time. Scholars and practitioners agree that expanding access to high-quality STEM education has the potential to improve students&#x2019; performance and reduce inequalities. Research has elucidated the critical role that students&#x2019; self-perceptions play in driving academic achievement, which has spurred the development of many educational programs and initiatives aimed at increasing students&#x2019; confidence, self-efficacy, and interest. However, our capacity to determine what programs and initiatives are effective and for whom is limited by our lack of psychometrically sound measures that assess science-related self-perceptions and interests of elementary students from diverse populations. To address this gap, we developed and tested measures of Science Self-Efficacy, Science Self-Concept, Interest in Science Activities, and Attitudes toward STEM careers in a sample of third-grade students (8&#x2013;9&#x2009;years) traditionally underrepresented in STEM careers (94% of our sample identified as either African American or Hispanic). We present initial evidence, from a preliminary pilot study, for the reliability and validity of these measures and reveal the multi-dimensional nature of students&#x2019; self-perceptions and interests in science. We discuss how such measurement tools will inform our understanding of the nature of young students&#x2019; science self-perceptions, how the utilization of such tools can inform educational practice, and highlight the critical importance of conducting measurement development research with diverse populations.</p>
</abstract>
<kwd-group>
<kwd>self-efficacy</kwd>
<kwd>measurement development</kwd>
<kwd>science education</kwd>
<kwd>self-concept</kwd>
<kwd>self-perceptions</kwd>
<kwd>elementary school</kwd>
</kwd-group>
<counts>
<fig-count count="4"/>
<table-count count="12"/>
<equation-count count="0"/>
<ref-count count="90"/>
<page-count count="22"/>
<word-count count="16281"/>
</counts>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>STEM Education</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="sec1">
<label>1</label>
<title>Introduction</title>
<p>Improving Science, Technology, Engineering, and Mathematics (STEM) education offers great promise for elevating the livelihood and future potential of America&#x2019;s children, and several key indicators suggest the need for novel approaches to STEM education. The majority of U.S. students continue to perform at or below proficiency levels in math and science across elementary, middle, and high school (<xref ref-type="bibr" rid="ref52">National Academies of Sciences, Engineering, and Medicine, 2015</xref>; <xref ref-type="bibr" rid="ref59">Organization for Economic Co-operation and Development, 2018</xref>). Achievement disparities spanning racial/ethnic, socioeconomic, and gender lines emerge in elementary and widen over time (<xref ref-type="bibr" rid="ref62">Reardon, 2011</xref>), leading to decreased participation and success in STEM. These sobering statistics have motivated investments to improve students&#x2019; participation and achievement in STEM, with additional focus on groups that have historically been underrepresented in STEM fields (<xref ref-type="bibr" rid="ref52">National Academies of Sciences, Engineering, and Medicine, 2015</xref>; <xref ref-type="bibr" rid="ref008">National Research Council et al., 2015</xref>; <xref ref-type="bibr" rid="ref76">U.S. Department of Education, 2022</xref>). A large body of research has shown students&#x2019; <italic>self-perceptions</italic> and <italic>interests</italic> are critical drivers of participation and achievement in academic disciplines (<xref ref-type="bibr" rid="ref15">Choi, 2005</xref>), and that interest in a subject develops over time (<xref ref-type="bibr" rid="ref65">Schiefele et al., 1992</xref>; <xref ref-type="bibr" rid="ref29">Hidi and Renninger, 2006</xref>; <xref ref-type="bibr" rid="ref63">Rotgans and Schmidt, 2011</xref>). These findings have spurred investments in new programs and interventions designed to increase students&#x2019; interest, engagement, and achievement in STEM (e.g., <xref ref-type="bibr" rid="ref14">Chittum et al., 2017</xref>; <xref ref-type="bibr" rid="ref64">Sainz et al., 2022</xref>).</p>
<p>However, the lack of comprehensive, age-appropriate measures to assess elementary students&#x2019; science self-concept, self-efficacy, and interest in STEM activities and careers hinders our capacity to understand and assess how students&#x2019; science-related self-perceptions and interests change over time and in response to such interventions. Moreover, examining these factors in elementary school is essential to set students on a path toward STEM. In this paper, we detail the development of four measures of science self-perceptions, current interest in engaging in formal and informal science activities, and interest in future STEM careers in a sample of third-grade students (ages 8&#x2013;9) historically underrepresented in science fields and careers (<xref ref-type="bibr" rid="ref33">Hurtado et al., 2010</xref>).</p>
<sec id="sec2">
<label>1.1</label>
<title>The state of STEM education in the United States</title>
<p>The United States faces several significant STEM workforce and educational challenges. First, the demand for well-trained STEM workers continues to outpace the supply [<xref ref-type="bibr" rid="ref10">Bureau of Labor Statistics, 2014</xref>; <xref ref-type="bibr" rid="ref57">Office of Innovation and Improvement (OII), 2016</xref>]. Second, the majority of U.S. students continue to perform at or below proficiency levels in math and science across elementary, middle, and high school (<xref ref-type="bibr" rid="ref52">National Academies of Sciences, Engineering, and Medicine, 2015</xref>; <xref ref-type="bibr" rid="ref59">Organization for Economic Co-operation and Development, 2018</xref>). For example, only 36% of 4th graders reach proficiency levels in science and this rate drops to 22% in 12th grade [<xref ref-type="bibr" rid="ref77">U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019</xref>]. From the 2015 to 2019 NAEP, data from 8th grade and 12th grade remained constant, but in fourth grade, a higher percentage scored below NAEP Basic compared to 2015, indicating scores were moving in the wrong direction even before the COVID-19 pandemic. Third, data from the National Student Clearinghouse Research Center on the impacts of the COVID-19 pandemic suggests that total postsecondary enrollment in 4-year schools declined by 3.05 percent in fall 2021, with STEM majors being most adversely impacted. Enrollment was down 7.2% in Physical Science, 5.6% in Mathematics and Statistics, and 4.2% in Biological and Biomedical sciences (<xref ref-type="bibr" rid="ref54">National Student Clearing House Research Center, 2021</xref>) and there is evidence that enrollment rates in 2022 are worsening (<xref ref-type="bibr" rid="ref55">National Student Clearing House Research Center, 2022</xref>).</p>
<p>Fourth, achievement disparities spanning racial/ethnic, socioeconomic, and gender lines emerge in elementary and widen over time (<xref ref-type="bibr" rid="ref62">Reardon, 2011</xref>; <xref ref-type="bibr" rid="ref77">U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2019</xref>). For example, in the 2019 NAEP results, 4th grade White students scored an average of 163 on the science test while Black students scored 130. Similar disparities were observed between students identified has having a disability and those not (average score of 124 and 156 respectively), and students identified as English Language Learners those not identified as English Language Learners (average score of 122 and 155). The same trends are magnified in 8th and 12th grade; 12th-grade English Language learners scored an average of 99. These trends directly contribute to a continued lack of diversity in STEM occupations, as highlighted in a recent report produced by the Pew Charitable Trusts (<xref ref-type="bibr" rid="ref23">Fry et al., 2021</xref>). Given the current trends with educational disparities worsening during the COVID-19 pandemic [<xref ref-type="bibr" rid="ref78">U.S. Department of Education, Institute of Education Sciences, National Center for Education Statistics, National Assessment of Educational Progress (NAEP), 2022</xref>], it is probable that these disparities will worsen as well.</p>
</sec>
<sec id="sec3">
<label>1.2</label>
<title>Self-perceptions: self-concept and self-efficacy</title>
<p>A significant body of work has shown that the beliefs and perceptions we hold about ourselves and our competence in a variety of domains (e.g., school, sports, physical appearance) influence our actions and behaviors. <italic>Self-concept</italic> and <italic>self-efficacy</italic> are two of the most well-researched self-perceptions, both formed and influenced by one&#x2019;s experiences and interactions with the world. Self-concept refers to one&#x2019;s awareness and understanding of their own self and attributes (<xref ref-type="bibr" rid="ref009">Shavelson et al., 1976</xref>), whereas self-efficacy refers to an individual&#x2019;s belief that he or she possesses the capabilities to accomplish a goal and successfully carry out a particular course of action (<xref ref-type="bibr" rid="ref2">Bandura, 1977</xref>). While these two self-perceptions have historically been studied as separate constructs, recent work by Marsh and colleagues demonstrated the &#x201C;murky&#x201D; empirical distinction that exists between these two constructs, reporting that scores on measures of self-efficacy and self-concept were highly correlated in a sample of German 11 to 12-year-olds (<italic>r&#x2009;&#x003E;</italic> 0.90; <xref ref-type="bibr" rid="ref48">Marsh et al., 2019a</xref>, p. 331). Yet while observing that these two self-perceptions are closely related, <xref ref-type="bibr" rid="ref48">Marsh et al. (2019a)</xref> also notes an important conceptual distinction between them: self-efficacy tends to be <italic>future-oriented</italic> (probing what a person can do in the future) whereas self-concept is based on <italic>past achievements and accomplishments</italic>.</p>
<p>Both self-concept and self-efficacy are conceptualized to have multifaceted hierarchical structures, with a global, general sense of self at the top and academic and nonacademic domains nested underneath (<xref ref-type="bibr" rid="ref46">Marsh and Martin, 2011</xref>; <xref ref-type="bibr" rid="ref49">Marsh and Scalas, 2011</xref>) that are further differentiated into subdomains (e.g., academic self-concept has subdomains in English, history, math, and science self-concepts). Academic self-perceptions have been a core domain of investigation for decades (e.g., <xref ref-type="bibr" rid="ref50">Marsh et al., 2019b</xref>). Academic self-concept refers to a person&#x2019;s knowledge and perceptions about their own academic competencies (<xref ref-type="bibr" rid="ref81">Wigfield and Karpathian, 1991</xref>; <xref ref-type="bibr" rid="ref18">Ferla et al., 2009</xref>). Self-concept beliefs are more general self-perceptions that can include evaluations of self or affective evaluations of one&#x2019;s feelings. For example, &#x201C;I am good at science&#x201D; or &#x201C;I look forward to science&#x201D; (<xref ref-type="bibr" rid="ref5">Beier and Rittmayer, 2008</xref>). Academic self-efficacy, on the other hand, refers to a student&#x2019;s beliefs that s/he can master the knowledge and skills necessary to succeed in an academic discipline (<xref ref-type="bibr" rid="ref67">Schunk, 1991</xref>; <xref ref-type="bibr" rid="ref18">Ferla et al., 2009</xref>). As such, academic self-efficacy is related to both task-specific and future expectations. Academic self-efficacy judgments are often made without consideration of others&#x2019; capabilities but rather are focused on oneself (<xref ref-type="bibr" rid="ref24">Gist and Mitchell, 1992</xref>; <xref ref-type="bibr" rid="ref7">Bong and Skaalvik, 2003</xref>).</p>
<p>Decades of research have shown that self-perceptions significantly influence a person&#x2019;s functioning and well-being both in school and beyond. In academic settings, these self-perceptions can predict and explain students&#x2019; motivation, behaviors, and achievement (<xref ref-type="bibr" rid="ref6">Bong and Clark, 1999</xref>). For example, individuals with high self -efficacy in a particular academic subject, like math, tend to engage in activities and tasks they feel capable of accomplishing while avoiding those in which they feel less efficacious. Self-efficacy also influences how much people persist and persevere in challenging situations (<xref ref-type="bibr" rid="ref40">Lent et al., 1984</xref>; <xref ref-type="bibr" rid="ref68">Schunk, 1995</xref>). Individuals with high self-efficacy are also more likely to persist in the pursuit of desired outcomes and tend to be more resilient to setbacks. As such, academic self-efficacy influences a student&#x2019;s engagement and persistence in academic activities and the resulting academic outcomes (<xref ref-type="bibr" rid="ref69">Schunk and Pajares, 2002</xref>).</p>
<p>The same is broadly true of research on self-concept; studies in educational settings have shown that having a positive academic self-concept (e.g., feeling you are good at school) facilitates educational behaviors (persistence, course-work selections; <xref ref-type="bibr" rid="ref004">Eccles, 2005</xref>), and academic achievement and attainment (<xref ref-type="bibr" rid="ref25">Guay et al., 2004</xref>; <xref ref-type="bibr" rid="ref45">Marsh and Craven, 2006</xref>; <xref ref-type="bibr" rid="ref61">Pinxten et al., 2010</xref>; <xref ref-type="bibr" rid="ref13">Chen et al., 2013</xref>; <xref ref-type="bibr" rid="ref75">Trautwein and M&#x00F6;ller, 2016</xref>). Meta-analyzes (<xref ref-type="bibr" rid="ref011">Valentine et al., 2004</xref>; <xref ref-type="bibr" rid="ref32">Huang, 2011</xref>) and longitudinal studies (<xref ref-type="bibr" rid="ref47">Marsh and O'Mara, 2008</xref>) have also shown that academic achievement and self-concept are positively and reciprocally related to each other.</p>
</sec>
<sec id="sec4">
<label>1.3</label>
<title>Science self-perceptions and STEM education</title>
<p>Research has shown the subdomains of academic self-perceptions are distinct (<xref ref-type="bibr" rid="ref46">Marsh and Martin, 2011</xref>; <xref ref-type="bibr" rid="ref49">Marsh and Scalas, 2011</xref>), suggesting that one can perceive oneself as more capable in in one subject than another. A handful of studies have explored students&#x2019; self-perceptions in STEM subject areas and have shown that individuals with high STEM self-perceptions perform better and persist longer in STEM disciplines relative to those with lower self-perceptions in STEM. For example, science self-perceptions and beliefs are related to STEM persistence and achievement in middle school (<xref ref-type="bibr" rid="ref9">Britner and Pajares, 2006</xref>) and beyond. Science self-efficacy predicts a variety of academic behaviors and outcomes, including science grades in middle school (<xref ref-type="bibr" rid="ref8">Britner and Pajares, 2001</xref>), science capacities in high school (<xref ref-type="bibr" rid="ref36">Jansen et al., 2015a</xref>), science performance and persistence in college students (<xref ref-type="bibr" rid="ref1">Andrew, 1998</xref>; <xref ref-type="bibr" rid="ref11">Byars-Winston et al., 2010</xref>; <xref ref-type="bibr" rid="ref26">Hanauer et al., 2016</xref>). <xref ref-type="bibr" rid="ref28">Heilbronner (2011)</xref> found that self-efficacy beliefs in one&#x2019;s ability to achieve in STEM predicted the choice of STEM majors in college. Students who believed that they could excel in STEM were more likely to graduate with a STEM degree compared with those of lacked these beliefs. Similarly, high-school students who express positive science self-efficacy beliefs tend to persist in STEM majors compared to those who do not express these beliefs (<xref ref-type="bibr" rid="ref70">Shaw and Barbuti, 2010</xref>). Recently, a handful of studies has shown that self-concept in the sciences is distinguishable from self-concept in math and language (<xref ref-type="bibr" rid="ref35">Jansen et al., 2014</xref>; <xref ref-type="bibr" rid="ref44">Marsh et al., 2015</xref>; <xref ref-type="bibr" rid="ref36">Jansen et al., 2015a</xref>, <xref ref-type="bibr" rid="ref37">2019</xref>) and that students hold differentiated beliefs across subjects such as chemistry, biology, and physics.</p>
<p>Evaluation of the extant literature shows several prominent gaps in the literature that limit our understanding of how <italic>science</italic> self-concept and self-efficacy develop over time. First, the majority of research has primarily focused on high school and college student populations. We were unable to find any research that examined science self-perceptions in elementary student populations, which represents a key period when students begin formal science education and influence burgeoning self-perceptions in this academic domain. Second, this age-related gap in research is likely due to the lack of developmentally-appropriate science self-perception measures. Third, research often probes general STEM self-perception beliefs rather than specific beliefs about <italic>science</italic>, and evidence suggests that students&#x2019; self-perceptions may, indeed, vary by subject. Understanding and predicting how motivational factors influence educational outcomes in the sciences is seen as critical in both research and educational practice and policy (<xref ref-type="bibr" rid="ref60">Osborne et al., 2003</xref>; <xref ref-type="bibr" rid="ref58">Organization for Economic Co-operation and Development, 2007</xref>; <xref ref-type="bibr" rid="ref12">Bybee and McCrae, 2011</xref>; <xref ref-type="bibr" rid="ref73">Taskinen et al., 2013</xref>; <xref ref-type="bibr" rid="ref34">Jansen et al., 2015b</xref>). Despite the value of such knowledge, we currently lack age-appropriate, comprehensive measures to probe science self-perceptions in elementary school students.</p>
</sec>
<sec id="sec5">
<label>1.4</label>
<title>Student interest in STEM</title>
<p>Students&#x2019; motivation to achieve in a particular subject is influenced not only by their self-perceptions but also by the value that they assign to a particular area (<xref ref-type="bibr" rid="ref80">Wigfield and Eccles, 2000</xref>). The most common type of value belief is individual interest in a given topic or area. With respect to STEM, students&#x2019; interests in STEM fields and STEM jobs influence their pursuit of math and science courses, their performance in these courses, and their entry into STEM majors in college (<xref ref-type="bibr" rid="ref42">Lichtenberger and George-Jackson, 2013</xref>). For example, interest in math and science in middle school influences students&#x2019; selection of high-school math and science courses (<xref ref-type="bibr" rid="ref17">Farenga and Joyce, 1998</xref>; <xref ref-type="bibr" rid="ref39">K&#x00F6;ller et al., 2001</xref>). Students who express interest in STEM in eighth grade are up to three times more likely to ultimately pursue STEM degrees later in life than students who do not express such an interest (<xref ref-type="bibr" rid="ref74">The President&#x2019;s Council of Advisors on Science and Technology (PCAST), 2010</xref>). This relationship extends to high school and college. <xref ref-type="bibr" rid="ref27">Harackiewicz et al. (2002)</xref> reported that interest predicts college students&#x2019; choice of academic major, and that interest combines with external factors to predict academic outcomes. Similarly, <xref ref-type="bibr" rid="ref43">Maltese and Tai (2011)</xref> found that high-school students&#x2019; interest in mathematics and science is more predictive of entry into a STEM major than achievement test scores. Like science self-perceptions, less is known about elementary students&#x2019; interests in science-related activities in and out of school and how these interests are associated with future careers. Understanding interest in early elementary science is critical, as these interests have the potential to influence engagement in future STEM courses and informal learning opportunities throughout elementary, middle, and high school.</p>
</sec>
<sec id="sec6">
<label>1.5</label>
<title>The need for measures of students&#x2019; self-perceptions in science validated with diverse populations</title>
<p>There is agreement amongst researchers, educators, and policymakers that expanding access to high-quality STEM education has the potential to reduce inequities in education and beyond. Efforts to improve STEM education in the U.S. were well underway prior to the pandemic (<xref ref-type="bibr" rid="ref53">National Science and Technology Committee (NSTC), 2018</xref>), and included (1) innovative standards for science literacy (e.g., the Next Generation Science Standards), (2) novel recommendations to maximize science teachers&#x2019; instructional effectiveness (<xref ref-type="bibr" rid="ref52">National Academies of Sciences, Engineering, and Medicine, 2015</xref>), (3) investments in STEM education and programs for underrepresented students, and (4) a research agenda focused on whether these programs can foster the development of students&#x2019; self-efficacy, self-concept, interest, and ultimately achievement in STEM fields. The continued effects of the pandemic on education renew the importance of programs aimed to foster high-quality STEM experiences for all students. Yet, understanding what programs lead to changes in students&#x2019; STEM attitudes, competencies, and achievement hinges upon having suitable measures to examine change in diverse populations.</p>
<p>In particular, understanding how science self-perceptions and interest in students from historically underrepresented backgrounds in STEM develop and change over time requires measures to be developed and validated with diverse populations. However, many of the measures that are most widely used in psychological research were developed with homogenous samples of White, relatively affluent students (e.g., <xref ref-type="bibr" rid="ref72">Stewart et al., 2012</xref>). There is evidence that measures display different psychometric properties when administered to samples of students drawn from different sociodemographic and socioeconomic backgrounds, and that these differences have consequences for how we interpret the scores on those measures as well as estimating program intervention outcomes (<xref ref-type="bibr" rid="ref51">Nagengast and Marsh, 2014</xref>; <xref ref-type="bibr" rid="ref003">Dong and Dumas, 2020</xref>; <xref ref-type="bibr" rid="ref71">Soland, 2021</xref>). For this reason, a priority for STEM research is to examine the psychometric properties of measures developed with diverse samples of students, beginning with these measures&#x2019; reliability and validity.</p>
</sec>
<sec id="sec7">
<label>1.6</label>
<title>The current study</title>
<p>In sum, there is a lack of age-appropriate, reliable, and valid measures to assess science-related self-perceptions and interest in elementary student populations from diverse backgrounds. We took the first step to address this gap by developing new age-appropriate measures of students&#x2019; science self-efficacy, science self-concept, interest in science activities, and interest in future STEM careers. In this paper, we describe the development and preliminary pilot test of these measures with a sample of third grade students (ages 8&#x2013;9) representative of a population that has historically been underrepresented in STEM careers (94% of our sample was African American and Hispanic). In this preliminary study, we focused on the measures&#x2019; reliability and validity, and addressed three specific research questions: (1) Do the measures demonstrate reliability and construct validity? (i.e., are they internally consistent and measuring what we think they should?), (2) How are scores on each of these measures distributed? and (3) Do the measures demonstrate convergent validity? (i.e., do the scores on these measures relate to one another?).</p>
</sec>
</sec>
<sec sec-type="methods" id="sec8">
<label>2</label>
<title>Methods</title>
<sec id="sec9">
<label>2.1</label>
<title>Participants</title>
<p>Participants were 204 third-grade students (54.9% female, 45.1% male; <italic>M</italic><sub>age</sub>&#x2009;=&#x2009;9.09&#x2009;years, <italic>SD</italic>&#x2009;=&#x2009;0.39) attending four elementary schools in a single school district. The school district is a large (one of the 25<sup>th</sup> largest in the country), urban district that prioritizes science education, even in elementary school. While most students were African American (73.5%), participants included students who were Hispanic/Latino (20.6%), White (3.9%), Asian (1.0%), American Indian (0.5%), or Multiracial (0.5%). Five students (2.5%) were classified by the district as having a disability, and 30 (14.7%) were classified as having limited English proficiency (LEP). Over 40 % of the sample (84 students, or 41.2%) qualified for the district&#x2019;s free or reduced-price meals program. Eligibility for this program is based on receipt of other benefits (Food Supplement Program or Temporary Cash Assistance) or falling within the Federal Income Eligibility Guidelines, which required that a family&#x2019;s gross income be no more than 1.85 times the federal poverty level (which was $25,750 for a family of four in the year that data were collected).</p>
</sec>
<sec id="sec10">
<label>2.2</label>
<title>Measures</title>
<p>Below we describe how we developed a new measure and adapted established measures for middle childhood students for use in this study.</p>
<sec id="sec11">
<label>2.2.1</label>
<title>Science self-efficacy scale</title>
<p>This 8-item survey was developed to represent two aspects of science self-efficacy highlighted in the self-efficacy literature: academic self-efficacy and perceptions of competence. Four questions were adapted from the <italic>Patterns of Adaptive Learning Scale</italic>, Academic Efficacy sub-scale by <xref ref-type="bibr" rid="ref007">Midgley et al. (2000)</xref>, which is a well-researched and reliable measure (Alpha&#x2009;=&#x2009;0.78, <xref ref-type="bibr" rid="ref007">Midgley et al., 2000</xref>) that probes students&#x2019; perceptions of their competence to do their class work. We modified this scale by replacing the subject area with &#x201C;science&#x201D; to probe <italic>science</italic> efficacy (see <xref ref-type="table" rid="tab7">Table 1</xref>, items 1, 4, 5, 7). For example, the original question, &#x201C;I can do even the hardest work in this class if I try&#x201D; was modified to &#x201C;I can do even the hardest work in science if I try.&#x201D; Students rated the degree to which they agreed with each statement on a 5-point scale, ranging from strongly disagree (0) to strongly agree (4). We created four additional questions to probe student perceptions of their competence in science (see <xref ref-type="table" rid="tab7">Table 1</xref>, items 2, 3, 6, 8). The framing of these four questions was informed by other measures of self-efficacy (e.g., <xref ref-type="bibr" rid="ref4">Bandura, 2006</xref>) that were not fully reflected in the original Midgley scale and that do eliminate frame-of-reference effects by asking about things that will happen in the coming academic year. The wording of these questions was intended to phrase student competencies in ways that are common for 3rd graders (e.g., &#x201C;This year I will become the best student in my class at science.&#x201D;).</p>
<table-wrap position="float" id="tab7">
<label>Table 1</label>
<caption>
<p>Item descriptives, outliers, total correlations, and adjusted Cronbach&#x2019;s alphas for the science self-efficacy scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Item</th>
<th align="center" valign="top" colspan="5">Skew</th>
<th align="center" valign="top" colspan="4">Kurtosis</th>
</tr>
<tr>
<th align="center" valign="top">N</th>
<th align="center" valign="top">M</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">Est.</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">SE</th>
<th align="center" valign="top">Item-total correlation</th>
<th align="center" valign="top"><italic>&#x03B1;</italic> if item removed</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am certain I can figure out how to do even the hardest things in science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.27</td>
<td align="char" valign="top" char=".">1.23</td>
<td align="char" valign="top" char=".">&#x2212;0.19</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.84</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.43</td>
<td align="char" valign="top" char=".">0.80</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>It does not matter how hard something in science is when I first try it &#x2014; I know I will become great at it</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">3.04</td>
<td align="char" valign="top" char=".">1.03</td>
<td align="char" valign="top" char=".">&#x2212;0.98</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.49</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.53</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am sure I can get really good at the things we learn in science this year</p>
</list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">3.16</td>
<td align="char" valign="top" char=".">0.88</td>
<td align="char" valign="top" char=".">&#x2212;1.11</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">1.55</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.62</td>
<td align="char" valign="top" char=".">0.77</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I can do almost all the hard work in science if I do not give up</p>
</list-item>
</list>
</td>
<td align="center" valign="top">201</td>
<td align="char" valign="top" char=".">2.93</td>
<td align="char" valign="top" char=".">1.15</td>
<td align="char" valign="top" char=".">&#x2212;0.93</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.09</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.58</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Even if something in science is hard, I can learn it</p>
</list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">3.31</td>
<td align="char" valign="top" char=".">0.91</td>
<td align="char" valign="top" char=".">&#x2212;1.61</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">2.88</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.43</td>
<td align="char" valign="top" char=".">0.80</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>This year, I will become the best student in my class at science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.29</td>
<td align="char" valign="top" char=".">1.20</td>
<td align="char" valign="top" char=".">&#x2212;0.18</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.57</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.47</td>
<td align="char" valign="top" char=".">0.79</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I can do even the hardest work in science if I try.</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">3.02</td>
<td align="char" valign="top" char=".">0.97</td>
<td align="char" valign="top" char=".">&#x2212;0.97</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.76</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.62</td>
<td align="char" valign="top" char=".">0.77</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>No matter how hard something I am asked to do in science is, I know I can do it without a problem</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.36</td>
<td align="char" valign="top" char=".">1.23</td>
<td align="char" valign="top" char=".">&#x2212;0.38</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.64</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.53</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top" colspan="10">Overall <italic>&#x03B1;</italic>&#x2009;=&#x2009;0.81</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec12">
<label>2.2.2</label>
<title>Science self-concept scale</title>
<p>This 10-item survey was adapted from the Academic Self-Concept Scale (<xref ref-type="bibr" rid="ref006">Marsh, 1990</xref>) to probe students&#x2019; perceptions of their own academic skills specific to science. The original measure has demonstrated reliability, with reported alphas ranging from 0.88 to 0.94 (see <xref ref-type="bibr" rid="ref006">Marsh, 1990</xref>). We modified this scale by replacing the word &#x201C;school&#x201D; with &#x201C;science&#x201D; across each item (e.g., I am a good student in <italic>science</italic>; I learn things quickly in <italic>science</italic>). Students rated the degree to which they agreed with each statement on a 5-point scale ranging from strongly disagree (0) to strongly agree (4). Prior research with older student populations suggests this scale may assess a single global factor of science self-concept or be differentiated into two factors &#x2013; perceptions of self-competence and feelings about school (affect) (e.g., <xref ref-type="bibr" rid="ref001">Arens et al., 2011</xref>).</p>
</sec>
<sec id="sec13">
<label>2.2.3</label>
<title>Student interest in science activities (middle childhood) scale</title>
<p>A 11-item survey was constructed to examine elementary students&#x2019; interest in age-appropriate, science-related activities. In middle childhood, children spend time in a range of structured and less-structured<xref ref-type="fn" rid="fn0001"><sup>1</sup></xref> activities (e.g., <xref ref-type="bibr" rid="ref21">Fletcher et al., 2003</xref>; <xref ref-type="bibr" rid="ref20">Fisher et al., 2008</xref>; <xref ref-type="bibr" rid="ref19">Fisher, 2009</xref>; <xref ref-type="bibr" rid="ref005">Hofferth, 2009</xref>). Structured activities are more formal in nature, reflecting activities that are organized by an adult and include parameters or conventions of engagement aimed at achieving a particular goal (e.g., formal lessons in school, science club activities). Unstructured, or less-structured, activities are more informal, reflecting those that are more self-directed and have few, if any, specified goals (e.g., reading books, free-play exploratory activities). Drawing on this framework and focus groups conducted with 3rd&#x2013;5th grade teachers in our partner district, we identified ten structured and less-structured science-related activities that students may engage in during this age (e.g., participating in a science club after school, where kids use science to solve problems, invent things, or compete in science challenges; Reading books that tell you how to do science activities at home). Students rated their level of interest in each type of activity, on a 5-point scale ranging from not at all interested (0) to extremely interested (4). They were also given an &#x201C;I do not know&#x201D; option if they were unfamiliar with the described activity. The measure is presented in full in <xref ref-type="supplementary-material" rid="SM1">Supplementary Appendix A</xref>.</p>
</sec>
<sec id="sec14">
<label>2.2.4</label>
<title>Student attitudes toward STEM careers scale</title>
<p>(S-STEM Upper Elementary Your Future Survey). We adapted the <italic>S-STEM -Your Future</italic> survey (<xref ref-type="bibr" rid="ref22">Friday Institute for Educational Innovation, 2012</xref>) for early elementary students. This is a 12-item questionnaire that describes different types of work that students can do when they are older in specific STEM fields (physics, environmental science, biology, veterinary medicine, mathematics, medicine, earth science, computer science, medical science, chemistry, energy and electrical science, and engineering). Students rated their level of interest in doing each type of work when they are older on a 5-pt scale, ranging from not at all interested (0) to extremely interested (4). They were also given an &#x201C;I do not know&#x201D; option. Given the original measure was developed for 4th-5th grade student use, we made small adaptations to make it more appropriate for 3rd graders on select 7 of the 12 items (see <xref ref-type="supplementary-material" rid="SM1">Supplementary Appendix</xref>). We simplified wording and expanded the descriptions of the professions to reduce ambiguity and variations in students&#x2019; interpretations of the descriptions, particularly given that 3rd graders may not be familiar with different aspects of the professional work, as seen below. When possible, we opted for expansions that mapped onto concepts and practices outlined in the Next Generation Science Standards (NGSS), which students in our district partner were familiar with. For instance, in the example below, we expand the description of environmental work to include &#x201C;inventing solutions to these problems,&#x201D; which is highlighted in NGSS.</p>
<table-wrap position="anchor" id="tab1">
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="center" valign="top" colspan="2">Example adaptations to S-STEM Survey</th>
</tr>
<tr>
<th align="left" valign="top">Original Wording (4th&#x2013;5th grade version)</th>
<th align="left" valign="top">Revised wording (3rd grade version)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top"><italic>Environmental work:</italic> people study how nature works. They study how waste and pollution affect the environment. They also invent solutions to these problems.</td>
<td align="left" valign="top"><italic>Environmental work:</italic> people study how nature works. They also study how things can harm the environment or people&#x2019;s health, such as trash or air pollution. They invent solutions to these problems.</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="sec15">
<label>2.3</label>
<title>Procedure</title>
<p>Students completed the battery of surveys during a 30-min session that was administered in the following order: Science Self-efficacy Scale, Science Self-concept Scale, Student <italic>Interest in Science Activities (Middle Childhood) Scale, and Student Attitudes Toward STEM Careers Scale</italic> (S-STEM Upper Elementary Your Future Survey). The measures were group administered in the classroom by a team of two researchers. Before beginning the surveys, students were encouraged to think about how they (not others) feel about each statement and were assured that there were no right or wrong answers and to answer what is true for themselves. Students were given a single, paper-and-pencil packet of all measures and one of the research team members led students through each measure, reading each statement aloud (while students followed along silently) and pausing for students to circle their response before moving on to the next statement for each measure. The team member read each statement twice pausing between each to ensure students had a chance to follow along and understand the statement. While one member of the research team read each statement according to an experimental script, the other team member walked around the classroom ensuring that students were on the correct statement and circling an answer choice for each statement. Students were told that the team would like to learn more about their feelings about and interests in school and science and that all students will have different answers because everyone has different feelings. See the <xref ref-type="supplementary-material" rid="SM1">Supplementary Appendix</xref> for specific instructions provided for each measure.</p>
</sec>
<sec id="sec16">
<label>2.4</label>
<title>Data analysis</title>
<p>To establish initial evidence for the reliability and validity of these measures, data analysis steps were designed to answer our research questions:</p>
<sec id="sec17">
<label>2.4.1</label>
<title>Do the measures demonstrate reliability and construct validity?</title>
<p>To answer these questions, first, we established the reliability of each measure to examine its internal consistency. Internal consistency is a measure of whether students&#x2019; responses to all the items in each measure cohered or constituted a logical (or literally, internally consistent) pattern. The internal consistency of each measure was assessed by calculating (1) Cronbach&#x2019;s alpha for each scale and (2) inspecting the change in Cronbach&#x2019;s alpha if any item was removed from the measure.</p>
<p>Next, we estimated a series of exploratory and confirmatory factor analytic models to examine the <bold>construct validity</bold> of each measure (i.e., an assessment of whether each scale measures what it is intended to measure). Even when the items that comprise a measure demonstrate a relatively high degree of internal consistency, it is possible that those items capture multiple related constructs, such as different specific aspects or components of science self-concept. A commonly used approach to establishing construct validity is to conduct a factor analysis of the items that comprise a given scale (<xref ref-type="bibr" rid="ref16">DiStefano and Hess, 2005</xref>). The results of a factor analysis suggest whether these items cohere as a single &#x201C;construct&#x201D; (e.g., self-efficacy; mathematical skill), or whether multiple constructs may be present. In this study, factor analyzes proceeded in two stages: first, we conducted an <italic>exploratory</italic> factor analysis (EFA) to obtain a range of the number of constructs (also referred to as factors or latent variables) that a particular measure may be assessing, and to provide an initial sense of which items might be measuring the same construct for those measures that seemed to assess at least two constructs. We then estimated a series of <italic>confirmatory</italic> models based on the results of the exploratory factor analyzes.</p>
<p>The goals of our confirmatory factor analysis (CFA) were to identify a model for each measure that: 1) was a good fit<xref ref-type="fn" rid="fn0002"><sup>2</sup></xref> to the data (where &#x201C;data&#x201D; corresponds to the pattern of children&#x2019;s responses to the items that comprised the measure); 2) was reasonably parsimonious (given that adding more factors to the model will improve fit, but at the expense of parsimony); and that 3) yielded an interpretable factor structure or pattern of associations (i.e., factor loadings) between items and underlying constructs. For example, if the exploratory factor analyzes indicated that the particular measure might be assessing one <italic>or</italic> two constructs, we would estimate both one- and two-factor confirmatory models. For the one-factor confirmatory model, we would specify that all the measure items would be associated with (or &#x201C;load on&#x201D;) the factor representing the single construct the measure assessed. For the two-factor model, we would specify which items loaded on which of the two factors or constructs. These factor analytic models allowed us to determine the most appropriate approach to calculate score(s) for a measure. We would calculate an overall score for a measure that assesses a single construct or calculate a set of sub-scale scores for a measure that assesses multiple constructs.</p>
</sec>
<sec id="sec18">
<label>2.4.2</label>
<title>How are scores on each of these measures distributed?</title>
<p>Guided by this confirmatory factor analysis, we report descriptive statistics and the distribution of scores for each measure and the subscales identified by the factor analysis. These statistics allow for an examination of any problematic psychometric properties (e.g., &#x201C;ceiling effects&#x201D;) and can serve as a reference for future researchers who may seek to use these measures in their own work.</p>
</sec>
<sec id="sec19">
<label>2.4.3</label>
<title>Do the measures demonstrate convergent validity?</title>
<p>We conducted a preliminary exploration of the convergent validity of the scales and subscales assessed by our measure. Convergent validity explores whether two measures that should be related to each other (e.g., height and weight) are, in fact, related. Drawing upon subscales of each measure identified by our confirmatory factor analysis, we examine correlations between subscales to determine how related these measures are.</p>
</sec>
</sec>
</sec>
<sec sec-type="results" id="sec20">
<label>3</label>
<title>Results</title>
<p>As our intended audience is both STEM educational researchers as well as practitioners who might use these measures in a program evaluation, we frame our results relative to the research questions outlined in the introduction and data analysis sections. For simplicity, we present confirmatory models below and exploratory models in the <xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>.</p>
<sec id="sec21">
<label>3.1</label>
<title>Do the measures demonstrate reliability and construct validity?</title>
<sec id="sec22">
<label>3.1.1</label>
<title>Science self-efficacy scale</title>
<sec id="sec23">
<label>3.1.1.1</label>
<title>Step 1: internal consistency</title>
<p>Descriptives, outliers, total correlations, and adjusted Cronbach&#x2019;s alphas for the Science Self-Efficacy Scale are shown in <xref ref-type="table" rid="tab2">Table 2</xref>. As can be seen in the table, the overall Cronbach&#x2019;s alpha was 0.81, which is above the threshold of 0.70 established by <xref ref-type="bibr" rid="ref56">Nunnally (1978)</xref> for an acceptable level of internal consistency. As can be seen in the right-most column, removing individual items did not result in large improvements in Cronbach&#x2019;s alpha, which indicates that removing individual items would not improve internal consistency. It is also evident in <xref ref-type="table" rid="tab2">Table 2</xref> that the item-total correlation for each item ranges from 0.43 to 0.62, providing an initial indication that the scale may be assessing a single construct.</p>
<table-wrap position="float" id="tab2">
<label>Table 2</label>
<caption>
<p>Summary of fit indices for exploratory and confirmatory factor models.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Measure</th>
<th align="center" valign="top" colspan="6">Confirmatory models</th>
<th align="center" valign="top">LRT</th>
</tr>
<tr>
<th align="center" valign="top">Factors</th>
<th align="center" valign="top"><italic>X</italic><sup>2</sup> (<italic>df</italic>)</th>
<th align="center" valign="top">RMSEA (90% CI)</th>
<th align="center" valign="top">TLI</th>
<th align="center" valign="top">CFI</th>
<th align="center" valign="top">SRMR</th>
<th align="center" valign="top">&#x2206; <italic>X</italic><sup>2</sup> (<italic>df</italic>)</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Science self-efficacy</td>
<td align="char" valign="top" char=".">1</td>
<td align="char" valign="top" char=".">32.2 (19)</td>
<td align="char" valign="top" char=".">0.06 [0.02, 0.09]</td>
<td align="char" valign="top" char=".">0.95</td>
<td align="char" valign="top" char=".">0.97</td>
<td align="char" valign="top" char=".">0.04</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Science self-concept</td>
<td align="char" valign="top" char=".">1</td>
<td align="char" valign="top" char=".">168.3 (35)</td>
<td align="char" valign="top" char=".">0.14 [0.12, 0.17]</td>
<td align="char" valign="top" char=".">0.79</td>
<td align="char" valign="top" char=".">0.84</td>
<td align="char" valign="top" char=".">0.09</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="char" valign="top" char=".">2</td>
<td align="char" valign="top" char=".">54.4 (34)</td>
<td align="char" valign="top" char=".">0.06 [0.03, 0.08]</td>
<td align="char" valign="top" char=".">0.98</td>
<td align="char" valign="top" char=".">0.97</td>
<td align="char" valign="top" char=".">0.04</td>
<td align="char" valign="top" char=".">113.9 (1)</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Student interest in science activities (middle childhood) scale</td>
<td align="char" valign="top" char=".">1</td>
<td align="char" valign="top" char=".">95.8 (44)</td>
<td align="char" valign="top" char=".">0.08 [0.06, 0.10]</td>
<td align="char" valign="top" char=".">0.77</td>
<td align="char" valign="top" char=".">0.81</td>
<td align="char" valign="top" char=".">0.06</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="char" valign="top" char=".">2</td>
<td align="char" valign="top" char=".">75.6 (43)</td>
<td align="char" valign="top" char=".">0.06 [0.04, 0.08]</td>
<td align="char" valign="top" char=".">0.85</td>
<td align="char" valign="top" char=".">0.88</td>
<td align="char" valign="top" char=".">0.06</td>
<td align="char" valign="top" char=".">20.2 (1)</td>
</tr>
<tr>
<td align="char" valign="top" char=".">2 mod</td>
<td align="char" valign="top" char=".">62.8 (42)</td>
<td align="char" valign="top" char=".">0.05 [0.02, 0.07]</td>
<td align="char" valign="top" char=".">0.90</td>
<td align="char" valign="top" char=".">0.92</td>
<td align="char" valign="top" char=".">0.05</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Student attitudes toward STEM careers scale</td>
<td align="char" valign="top" char=".">1</td>
<td align="char" valign="top" char=".">122.9 (54)</td>
<td align="char" valign="top" char=".">0.08 [0.06, 0.10]</td>
<td align="char" valign="top" char=".">0.80</td>
<td align="char" valign="top" char=".">0.84</td>
<td align="char" valign="top" char=".">0.07</td>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
<tr>
<td align="char" valign="top" char=".">2</td>
<td align="char" valign="top" char=".">80.7 (53)</td>
<td align="char" valign="top" char=".">0.05 [0.03, 0.07]</td>
<td align="char" valign="top" char=".">0.92</td>
<td align="char" valign="top" char=".">0.94</td>
<td align="char" valign="top" char=".">0.05</td>
<td align="char" valign="top" char=".">42.2 (1)</td>
</tr>
<tr>
<td align="char" valign="top" char=".">3</td>
<td align="char" valign="top" char=".">58.4 (51)</td>
<td align="char" valign="top" char=".">0.03 [0, 0.05]</td>
<td align="char" valign="top" char=".">0.98</td>
<td align="char" valign="top" char=".">0.98</td>
<td align="char" valign="top" char=".">0.05</td>
<td align="char" valign="top" char=".">22.3 (2)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>LRT, likelihood ratio test, which was performed for the confirmatory models by comparing the final model&#x2019;s fit to the previous model&#x2019;s fit. When the final model included modifications (as in the case of Academic Self-Concept), those same modifications were applied to the previous model before calculating the LRT. As such, the values of <italic>X</italic><sup>2</sup> and df presented in <xref rid="tab2" ref-type="table">Table 2</xref> for the confirmatory models may not yield the values of &#x2206;<italic>X</italic><sup>2</sup> and the associated df presented in the model.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec24">
<label>3.1.1.2</label>
<title>Step 2: construct validity</title>
<p>Based on the results of the exploratory factor analyzes (see <xref ref-type="supplementary-material" rid="SM1">Supplementary material</xref>), a 1-factor confirmatory model was fit to the data, in which all items loaded on a single construct, <italic>science self-efficacy</italic>. While the RMSEA (0.08, 90% CI&#x2009;=&#x2009;[0.05, 0.11]) and SRMR (0.05) indicated an acceptable model fit, the data suggest a marginal fit due to CFI (0.93) and TLI (0.91) values below the thresholds established by <xref ref-type="bibr" rid="ref31">Hu et al. (2022)</xref>. The results of the confirmatory analysis more closely revealed that allowing the error terms (or residual variances) of items 4 and 7 to covary would improve the fit of the model (that is, an inspection of the modification index indicated that this would reduce <italic>X</italic><sup>2</sup> by 13.87). This modification had a sound conceptual basis, in that items 4 and 7 were likely to share residual variance due to the similarity in the phrasing of the items (i.e., both items referred to the being able to complete &#x201C;the hard work in science&#x201D; or &#x201C;the hardest work in science;&#x201D; see <xref ref-type="table" rid="tab7">Table 1</xref>). Therefore, we made this change and re-estimated the model, which resulted in a model that was a very good fit to the data. As shown in the top row of <xref ref-type="table" rid="tab6">Table 3</xref>, the RMSEA and SRMR are both below.08 and the TLI is at 0.95.</p>
<table-wrap position="float" id="tab6">
<label>Table 3</label>
<caption>
<p>Summary of factor structures for final confirmatory factor models of science self-efficacy.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="3">Item</th>
<th align="center" valign="top" colspan="2">1-factor model</th>
</tr>
<tr>
<th align="center" valign="top" colspan="2">Factor I</th>
</tr>
<tr>
<th align="center" valign="top">
<italic>&#x03BB;</italic>
</th>
<th align="center" valign="top">
<italic>R</italic>
<sup>2</sup>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am certain I can figure out how to do even the hardest things in science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.55<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.30<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>It does not matter how hard something in science is when I first try it &#x2013; I know I will become great at it</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.58<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.33<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am sure I can get really good at the things we learn in science this year.</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.71<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.50<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I can do almost all the hard work in science if I do not give up</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.57<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.32<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Even if something in science is hard, I can learn it</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.51<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.26<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>This year, I will become the best student in my class at science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.48<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.23<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I can do even the hardest work in science if I try</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.65<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.42<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>No matter how hard something I am asked to do in science is, I know I can do it without a problem</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.59<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.35<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>All factor loadings are fully standardized. <sup>&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, <sup>&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, <sup>&#x002A;&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>The factor loadings displayed in <xref ref-type="table" rid="tab7">Table 1</xref> indicate how strongly related each item was to the underlying construct of science self-efficacy. These loadings are fully standardized, and therefore can fall between &#x2212;1 to 1 and can be interpreted much like a Pearson correlation coefficient (<italic>r</italic>). Here the values of the loading ranged from 0.48 to 0.71, with only the loading for item 6 falling below the threshold of 0.50 established by <xref ref-type="bibr" rid="ref002">Comery and Lee (2013)</xref> for a &#x201C;good&#x201D; factor loading. All loadings were statistically significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). The proportion of variance in each item accounted for by its respective factors (<italic>R</italic><sup>2</sup>) ranged from 0.23 to 0.50, and all proportions were also significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Based on these findings, we determined that this 8-item scale reflects a single science self-efficacy construct (i.e., these items displayed a unidimensional factor structure).</p>
</sec>
</sec>
<sec id="sec25">
<label>3.1.2</label>
<title>Science self-concept scale</title>
<sec id="sec26">
<label>3.1.2.1</label>
<title>Step 1: internal consistency</title>
<p>As shown in <xref ref-type="table" rid="tab3">Table 4</xref>, the overall Cronbach&#x2019;s alpha was 0.86. As can be seen in the right-most column, removing individual items did not result in large improvements in Cronbach&#x2019;s alpha. As can be seen in the right-most column, removing individual items would not improve internal consistency. <xref ref-type="table" rid="tab3">Table 4</xref> shows that the item-total correlation for each item ranges from 0.47 to 0.69.</p>
<table-wrap position="float" id="tab3">
<label>Table 4</label>
<caption>
<p>Item descriptives, outliers, total correlations, and adjusted Cronbach&#x2019;s alphas for the science self-concept scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Item</th>
<th align="center" valign="top" colspan="5">Skew</th>
<th align="center" valign="top" colspan="4">Kurtosis</th>
</tr>
<tr>
<th align="center" valign="top">
<italic>N</italic>
</th>
<th align="center" valign="top">
<italic>M</italic>
</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">Est.</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">Item-total correlation</th>
<th align="center" valign="top"><italic>&#x03B1;</italic> if item removed</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I get good grades in science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.98</td>
<td align="char" valign="top" char=".">0.97</td>
<td align="char" valign="top" char=".">&#x2212;0.67</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.18</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.47</td>
<td align="char" valign="top" char=".">0.86</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I like science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.84</td>
<td align="char" valign="top" char=".">1.29</td>
<td align="char" valign="top" char=".">&#x2212;0.96</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.14</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.67</td>
<td align="char" valign="top" char=".">0.84</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am good at science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.73</td>
<td align="char" valign="top" char=".">1.03</td>
<td align="char" valign="top" char=".">&#x2212;0.66</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.65</td>
<td align="char" valign="top" char=".">0.85</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am interested in science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">201</td>
<td align="char" valign="top" char=".">2.80</td>
<td align="char" valign="top" char=".">1.14</td>
<td align="char" valign="top" char=".">&#x2212;0.77</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.14</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.64</td>
<td align="char" valign="top" char=".">0.85</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am not a good student in science&#x002A;</p>
</list-item>
</list>
</td>
<td align="center" valign="top">199</td>
<td align="char" valign="top" char=".">3.17</td>
<td align="char" valign="top" char=".">1.12</td>
<td align="char" valign="top" char=".">&#x2212;1.34</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">1.22</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.43</td>
<td align="char" valign="top" char=".">0.86</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I enjoy my school work in science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">199</td>
<td align="char" valign="top" char=".">2.79</td>
<td align="char" valign="top" char=".">1.10</td>
<td align="char" valign="top" char=".">&#x2212;0.68</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.11</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.62</td>
<td align="char" valign="top" char=".">0.85</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Science school work is easy for me</p>
</list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.19</td>
<td align="char" valign="top" char=".">1.10</td>
<td align="char" valign="top" char=".">&#x2212;0.11</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.46</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.55</td>
<td align="char" valign="top" char=".">0.85</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I look forward to science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">201</td>
<td align="char" valign="top" char=".">2.66</td>
<td align="char" valign="top" char=".">1.12</td>
<td align="char" valign="top" char=".">&#x2212;0.57</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.39</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.69</td>
<td align="char" valign="top" char=".">0.84</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I hate science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">3.27</td>
<td align="char" valign="top" char=".">1.09</td>
<td align="char" valign="top" char=".">&#x2212;1.51</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">1.58</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.57</td>
<td align="char" valign="top" char=".">0.85</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p>I learn things quickly in science</p></list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.30</td>
<td align="char" valign="top" char=".">1.17</td>
<td align="char" valign="top" char=".">&#x2212;0.23</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.57</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.47</td>
<td align="char" valign="top" char=".">0.86</td>
</tr>
<tr>
<td align="left" valign="top" colspan="10">Overall <italic>&#x03B1;</italic>&#x2009;=&#x2009;0.86</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>&#x002A; indicates an item that was reverse coded.</p>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="sec27">
<label>3.1.2.2</label>
<title>Step 2: construct validity</title>
<p>Based on the results of the exploratory factor analyzes (see supplementary materials), two confirmatory models were estimated: a 1-factor model in which all items loaded on the single factor, and a 2-factor model in which items 1, 3, 5, 7, and 10 loaded on factor 1 and items 2, 4, 6, 8, and 9 loaded on factor 2. Both models are shown in <xref ref-type="table" rid="tab6">Table 3</xref>. As can be seen, the 1-factor model was a marginal fit to the data, but the 2-factor model was an excellent fit to the data, and a significant improvement over the 1-factor model, as indicated by the results of a LRT (&#x0394;<italic>X</italic><sup>2</sup> (1)&#x2009;=&#x2009;113.9, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001).</p>
<p>The factor loadings for the 2-factor model are displayed in <xref ref-type="table" rid="tab8">Table 5</xref>. All the loadings were statistically significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), and only one loading (item 5 on factor I) fell below the threshold for a &#x201C;good&#x201D; loading (0.55; <xref ref-type="bibr" rid="ref002">Comrey and Lee, 2013</xref>). The proportion of variance in each item accounted for by its respective factors (<italic>R</italic><sup>2</sup>) ranged from 0.23 to 0.75, and all proportions were also significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Based on these results, we determined that the measure of Science Self-Concept assessed two constructs. Factor I included items related to <italic>Perceptions of Science Competence</italic> (e.g., I am good at science) while Factor II included items related to <italic>Feelings about Science (Science Affect)</italic>. Sub-scale scores for each of these constructs were calculated as the mean of the items that loaded onto each factor. Values of Cronbach&#x2019;s alpha for Factors I and II were 0.77 and 0.88, respectively.</p>
<table-wrap position="float" id="tab8">
<label>Table 5</label>
<caption>
<p>Summary of factor structures for final confirmatory factor models of science self-concept.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Item</th>
<th align="center" valign="top" colspan="3">2-factor model</th>
</tr>
<tr>
<th align="center" valign="top"><italic>Factor I</italic> perceptions of Science Competence <italic>&#x03BB;</italic></th>
<th align="center" valign="top"><italic>Factor II</italic> feelings about Science (Affect) <italic>&#x03BB;</italic></th>
<th align="center" valign="top">
<italic>R</italic>
<sup>2</sup>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I get good grades in science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.62<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.38<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I like science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.84<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.71<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am good at science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.79<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.62<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am interested in science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.78<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.60<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I am not a good student in science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.48<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.23<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I enjoy my school work in science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.72<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.52<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Science school work is easy for me</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.67<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.45<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I look forward to science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.86<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.75<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>I hate science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.66<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.43<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p>I learn things quickly in science</p></list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.60<sup>&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.36<sup>&#x002A;&#x002A;</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>All factor loadings are fully standardized. <sup>&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, <sup>&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, <sup>&#x002A;&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001.</p>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec id="sec28">
<label>3.1.3</label>
<title>Student interest in science activities (middle childhood) scale</title>
<sec id="sec29">
<label>3.1.3.1</label>
<title>Step 1: internal consistency</title>
<p>As shown in <xref ref-type="table" rid="tab4">Table 6</xref>, the overall Cronbach&#x2019;s alpha was 0.73 and removing individual items did not result in large improvements in Cronbach&#x2019;s alpha. Also evident in <xref ref-type="table" rid="tab4">Table 6</xref> is the item-total correlation for many items are lower than those for science self-efficacy and self-concept measures (ranging from 0.28 to 0.42) indicating that the scale may be assessing multiple constructs. Twenty-two responses across 2,244 possible responses (11 items X 204 participants) were not included in analyzes for internal consistency because these responses were missing (<italic>n</italic>&#x2009;=&#x2009;14, or 0.62% of possible responses) or because participants selected the &#x201C;I do not know&#x201D; response option (<italic>n</italic>&#x2009;=&#x2009;8, or 0.36% of responses).</p>
<table-wrap position="float" id="tab4">
<label>Table 6</label>
<caption>
<p>Item descriptives, outliers, total correlations, and adjusted Cronbach&#x2019;s alphas for the student interest in science activities (middle childhood) scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Item</th>
<th align="center" valign="top" colspan="5">Skew</th>
<th align="center" valign="top" colspan="4">Kurtosis</th>
</tr>
<tr>
<th align="center" valign="top">
<italic>N</italic>
</th>
<th align="center" valign="top">
<italic>M</italic>
</th>
<th align="center" valign="top">SD</th>
<th align="center" valign="top">Est.</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">Item-total correlation</th>
<th align="center" valign="top">&#x03B1; if item removed</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Doing science activities in school</p>
</list-item>
</list>
</td>
<td align="center" valign="top">201</td>
<td align="char" valign="top" char=".">3.04</td>
<td align="char" valign="top" char=".">1.31</td>
<td align="char" valign="top" char=".">&#x2212;0.71</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.22</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.30</td>
<td align="char" valign="top" char=".">0.72</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Participating in a science club after school, where kids use science to solve problems, invent things, or compete in science challenges</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.68</td>
<td align="char" valign="top" char=".">1.78</td>
<td align="char" valign="top" char=".">&#x2212;0.36</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.32</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.42</td>
<td align="char" valign="top" char=".">0.70</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Participating in a science camp during the summer, where kids use science to solve problems, invent things, compete in science challenges, or take science field trips</p>
</list-item>
</list>
</td>
<td align="center" valign="top">200</td>
<td align="char" valign="top" char=".">2.38</td>
<td align="char" valign="top" char=".">1.81</td>
<td align="char" valign="top" char=".">&#x2212;0.05</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.46</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.28</td>
<td align="char" valign="top" char=".">0.72</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Visiting science museums, where kids explore exhibits and do activities in science labs</p>
</list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">3.08</td>
<td align="char" valign="top" char=".">1.31</td>
<td align="char" valign="top" char=".">&#x2212;0.97</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.01</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.33</td>
<td align="char" valign="top" char=".">0.71</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Participating in science fair competitions, where kids present a science project they created on their own and compete for awards for best projects</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.53</td>
<td align="char" valign="top" char=".">1.64</td>
<td align="char" valign="top" char=".">&#x2212;0.24</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.29</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.42</td>
<td align="char" valign="top" char=".">0.70</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Reading books or magazines about science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.16</td>
<td align="char" valign="top" char=".">1.76</td>
<td align="char" valign="top" char=".">0.20</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.31</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.40</td>
<td align="char" valign="top" char=".">0.70</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Playing video games related to science.</p>
</list-item>
</list>
</td>
<td align="center" valign="top">201</td>
<td align="char" valign="top" char=".">2.67</td>
<td align="char" valign="top" char=".">1.70</td>
<td align="char" valign="top" char=".">&#x2212;0.44</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.20</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.37</td>
<td align="char" valign="top" char=".">0.71</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Watching television shows or movies about science</p>
</list-item>
</list>
</td>
<td align="center" valign="top">198</td>
<td align="char" valign="top" char=".">2.43</td>
<td align="char" valign="top" char=".">1.71</td>
<td align="char" valign="top" char=".">&#x2212;0.10</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.39</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.40</td>
<td align="char" valign="top" char=".">0.70</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Doing virtual science activities using technology such as websites, computer programs, or tablet apps</p>
</list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">3.17</td>
<td align="char" valign="top" char=".">1.39</td>
<td align="char" valign="top" char=".">&#x2212;1.12</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.23</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.36</td>
<td align="char" valign="top" char=".">0.71</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p>Reading books that tell you how to do science activities at home</p></list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.44</td>
<td align="char" valign="top" char=".">1.68</td>
<td align="char" valign="top" char=".">&#x2212;0.12</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.31</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.45</td>
<td align="char" valign="top" char=".">0.69</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p>Doing science activities at home</p></list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.94</td>
<td align="char" valign="top" char=".">1.52</td>
<td align="char" valign="top" char=".">&#x2212;0.69</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.64</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.35</td>
<td align="char" valign="top" char=".">0.71</td>
</tr>
<tr>
<td align="left" valign="top" colspan="10">Overall <italic>&#x03B1;</italic>&#x2009;=&#x2009;0.73</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec30">
<label>3.1.3.2</label>
<title>Step 2: construct validity</title>
<p>The results of the exploratory factor analyzes indicated that models with more than 2 factors were not identified. Therefore, 1- and 2-factor confirmatory factor models were estimated. These models are shown in <xref ref-type="table" rid="tab6">Table 3</xref>. As can be seen, the 1-factor confirmatory model was a marginal fit to the data, with CFI and TLI values well below the preferred threshold. The LRT indicated that the 2-factor model was a significant improvement over the 1-factor model (&#x0394;<italic>X</italic><sup>2</sup> (1)&#x2009;=&#x2009;20.2, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), but as shown for the second model in <xref ref-type="table" rid="tab6">Table 3</xref>, the CFI and TLI values remained well under the threshold. The model results indicated that allowing the residual variances of items 7 and 8 to covary would result in a substantial improvement in model fit (i.e., the modification index indicated that this would reduce <italic>X</italic><sup>2</sup> by 12.6). These items were judged to be likely to share variance beyond that accounted for by the underlying factor structure because both items 7 and 8 asked students about their interest in science activities that involved digital media (television and video games, respectively; see <xref ref-type="table" rid="tab9">Table 7</xref>). Therefore, the 2-factor model was modified and then re-estimated; the resulting fit indices are reported in <xref ref-type="table" rid="tab6">Table 3</xref>. As can be seen in the Table, the fit of this model was an improvement over the unmodified model, though the CFI and TLI did not reach 0.95.</p>
<table-wrap position="float" id="tab9">
<label>Table 7</label>
<caption>
<p>Summary of factor structures for final confirmatory factor models of student interest in science activities (middle childhood) scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top">Item</th>
<th align="center" valign="top" colspan="3">2-factor model</th>
</tr>
<tr>
<th align="left" valign="top">How interested are you in&#x2026;.</th>
<th align="center" valign="top"><italic>Factor I</italic> Informal, less-structured activities <italic>&#x03BB;</italic></th>
<th align="center" valign="top"><italic>Factor II</italic> Formal, structured activities <italic>&#x03BB;</italic></th>
<th align="center" valign="top">
<italic>R<sup>2</sup></italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Doing science activities in school</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.40<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.36<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Participating in a science club after school, where kids use science to solve problems, invent things, or compete in science challenges</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.60<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.24<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Participating in a science camp during the summer, where kids use science to solve problems, invent things, compete in science challenges, or take science field trips</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.49<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.17<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Visiting science museums, where kids explore exhibits and do activities in science labs</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.41<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.24<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Participating in science fair competitions, where kids present a science project they created on their own and compete for awards for best projects</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.49<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.28<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Reading books or magazines about science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.53<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.14<sup>&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Playing video games related to science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.38<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.20<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Watching television shows or movies about science</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.45<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.19<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p>Doing virtual science activities using technology such as websites, computer programs, or tablet apps</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.43<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.49<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p>Reading books that tell you how to do science activities at home</p></list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.70<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.27<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p>Doing science activities at home</p></list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.52<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.16<sup>&#x002A;&#x002A;</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>All factor loadings are fully standardized. <sup>&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, <sup>&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, <sup>&#x002A;&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>The factor loadings for the modified 2-factor model are displayed in <xref ref-type="table" rid="tab9">Table 7</xref>. All loadings were statistically significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), though six fell within 0.05 of the cut-point for a &#x201C;fair&#x201D; loading of <italic>&#x03BB;</italic>&#x2009;=&#x2009;0.45 (<xref ref-type="bibr" rid="ref002">Comrey and Lee, 2013</xref>). The proportion of variance in each item accounted for by its respective factor (<italic>R</italic><sup>2</sup>) ranged from 0.14 to 0.49 (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.05 in all cases). The items that loaded on Factor I generally reflected <italic>informal, less-structured, and self-directed activities</italic>, while items loading on Factor II generally reflected <italic>formal, structured, and more adult-directed activities.</italic> Crombach&#x2019;s alpha for Factor I was 0.63 and was 0.62 for Factor II. Possible explanations for these relatively low values, as well as the nuances and potential challenges of the factor categorization are presented in the General Discussion.</p>
</sec>
</sec>
<sec id="sec31">
<label>3.1.4</label>
<title>Student attitudes towards STEM careers scale</title>
<sec id="sec32">
<label>3.1.4.1</label>
<title>Step 1: internal consistency</title>
<p>As shown in <xref ref-type="table" rid="tab5">Table 8</xref>, the overall Cronbach&#x2019;s alpha was 0.80. As can be seen in the right-most column, removing individual items did not result in large improvements in Cronbach&#x2019;s alpha, which indicates that removing individual items would not improve internal consistency. Also evident in <xref ref-type="table" rid="tab5">Table 8</xref> is the total item correlation ranges from 0.27 to 0.54. This variability again suggests that this measure may be measuring multiple constructs. As was the case for the previous measure, a small number of responses were not included in our analyzes because of missing (<italic>n</italic>&#x2009;=&#x2009;6, or 0.24% of possible responses) or &#x201C;I do not know&#x201D; responses (<italic>n</italic>&#x2009;=&#x2009;5, or 0.20% of responses).</p>
<table-wrap position="float" id="tab5">
<label>Table 8</label>
<caption>
<p>Item descriptives, outliers, total correlations, &#x0026; adjusted Cronbach&#x2019;s alphas for the student attitudes toward STEM careers scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Item</th>
<th align="center" valign="top" colspan="5">Skew</th>
<th align="center" valign="top" colspan="4">Kurtosis</th>
</tr>
<tr>
<th align="center" valign="top">
<italic>N</italic>
</th>
<th align="center" valign="top">
<italic>M</italic>
</th>
<th align="center" valign="top">
<italic>SD</italic>
</th>
<th align="center" valign="top">Est.</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">Item-total correlation</th>
<th align="center" valign="top"><italic>&#x03B1;</italic> if item removed</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Physics</italic>: People study motion, gravity, and what things are made of. They also study energy, like how a swinging bat can make a baseball switch direction. They study how different liquids, solids, and gas can be turned into heat or electricity</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.06</td>
<td align="char" valign="top" char=".">1.70</td>
<td align="char" valign="top" char=".">0.16</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.38</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.49</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Environmental work</italic>: People study how nature works. They also study how things can harm the environment or people&#x2019;s health, such as trash or air pollution. They study how waste and pollution affect the environment. They invent solutions to these problems</p>
</list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.49</td>
<td align="char" valign="top" char=".">1.71</td>
<td align="char" valign="top" char=".">&#x2212;0.12</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.30</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.52</td>
<td align="char" valign="top" char=".">0.77</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Biology</italic>: People study animals and plants to learn how they grow, how they live, and how they evolve or adapt over time. They also study animals and the food that they make, like how cows make milk. They can use what they know to invent products for people to use</p>
</list-item>
</list>
</td>
<td align="center" valign="top">201</td>
<td align="char" valign="top" char=".">2.40</td>
<td align="char" valign="top" char=".">1.64</td>
<td align="char" valign="top" char=".">&#x2212;0.23</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.33</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.43</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Veterinary work</italic>: People learn how animals&#x2019; bodies work, including pets, farm animals, and wildlife. They try to figure out why animals are sick or hurt, and give medicines or perform surgeries to prevent disease in animals help them get better. They give medicines to help animals get better and for animal and human safety. They also try to prevent disease in animals</p>
</list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.75</td>
<td align="char" valign="top" char=".">1.51</td>
<td align="char" valign="top" char=".">&#x2212;0.57</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.90</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.47</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Mathematics</italic>: People use math and computers to solve problems. They use it to make decisions in businesses and government. They use numbers to understand why different things happen, like why some people are healthier than others</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.13</td>
<td align="char" valign="top" char=".">1.79</td>
<td align="char" valign="top" char=".">0.11</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.51</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.45</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Medicine</italic>: People learn how the human body works. They try to figure out why someone is sick or hurt and give medicines to help the person get better. They teach people about health, and sometimes they perform surgery</p>
</list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">1.98</td>
<td align="char" valign="top" char=".">1.74</td>
<td align="char" valign="top" char=".">0.27</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.30</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.44</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Earth science</italic>: People study air, water, rocks, and soil on earth, and how they formed over time. Other earth scientists study and predict the weather, such as what causes tornadoes or hurricanes. Some scientists use this information to help make the earth safer and cleaner</p>
</list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.26</td>
<td align="char" valign="top" char=".">1.59</td>
<td align="char" valign="top" char=".">0.01</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.26</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.54</td>
<td align="char" valign="top" char=".">0.77</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Computer science</italic>: People write instructions to run a program that a computer can follow. They design computer games and other programs. They also fix and improve computers for other people</p>
</list-item>
</list>
</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.67</td>
<td align="char" valign="top" char=".">1.60</td>
<td align="char" valign="top" char=".">&#x2212;0.50</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.08</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.27</td>
<td align="char" valign="top" char=".">0.80</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Medical science</italic>: People study human diseases and work to find answers to human health problems</p>
</list-item>
</list>
</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.15</td>
<td align="char" valign="top" char=".">1.71</td>
<td align="char" valign="top" char=".">0.16</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.30</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.48</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p><italic>Chemistry</italic>: People work with chemicals. They invent new chemicals and use them to make new products, like paints, medicine, and plastic</p></list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.48</td>
<td align="char" valign="top" char=".">1.79</td>
<td align="char" valign="top" char=".">&#x2212;0.17</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.45</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.43</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p><italic>Energy/Electricity</italic>: People invent, improve, and maintain ways to make electricity or heat. They also design the electrical and other power systems in buildings and machines</p></list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.38</td>
<td align="char" valign="top" char=".">1.72</td>
<td align="char" valign="top" char=".">&#x2212;0.09</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.41</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.42</td>
<td align="char" valign="top" char=".">0.78</td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p><italic>Engineering</italic>: People use science, math, and computers to build different products (everything from airplanes to toothbrushes). Engineers make new products and keep them working to make them better</p></list-item>
</list>
</td>
<td align="center" valign="top">204</td>
<td align="char" valign="top" char=".">2.53</td>
<td align="char" valign="top" char=".">1.61</td>
<td align="char" valign="top" char=".">&#x2212;0.22</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;1.19</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.34</td>
<td align="char" valign="top" char=".">0.79</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="sec33">
<label>3.1.4.2</label>
<title>Step 2: construct validity</title>
<p>While the published measure (<xref ref-type="bibr" rid="ref22">Friday Institute for Educational Innovation, 2012</xref>) does not specify the number of constructs probed by this measure, based on the internal consistency results and EFA (shown in Supplementary materials), we estimated confirmatory models with 1-, 2-, and 3-factors. As can be seen in <xref ref-type="table" rid="tab6">Table 3</xref>, all fit indices suggest that the 1-factor model was a marginal fit to the data. An LRT, revealed that the fit of the 2-factor model was a significant improvement over that of the 1-factor model (&#x0394;<italic>X</italic><sup>2</sup> (1)&#x2009;=&#x2009;42.2, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001) and an acceptable fit to the data overall. However, as shown in <xref ref-type="table" rid="tab10">Table 9</xref>, the 3-factor model was a better fit to the data (&#x0394;<italic>X</italic><sup>2</sup> (1)&#x2009;=&#x2009;22.3, <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), and an excellent fit overall (RMSEA&#x2009;=&#x2009;0.03, 90% CI&#x2009;=&#x2009;[0, 0.05]; SRMR&#x2009;=&#x2009;0.05; CFI&#x2009;=&#x2009;0.98, TLI&#x2009;=&#x2009;0.98). Therefore, we interpreted the factor loadings for the 3-factor model, which are displayed in <xref ref-type="table" rid="tab10">Table 9</xref>.</p>
<table-wrap position="float" id="tab10">
<label>Table 9</label>
<caption>
<p>Summary of factor structures for final confirmatory factor models of student attitudes toward STEM careers scale.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="3">Item: How interested are you in doing this type of work when you are older?</th>
<th align="center" valign="top" colspan="4">3-factor model</th>
</tr>
<tr>
<th align="center" valign="top">Factor I basic/foundational sciences</th>
<th align="center" valign="top">Factor II applied/service-oriented sciences</th>
<th align="center" valign="top">Factor III computational sciences</th>
<th align="center" valign="top" rowspan="2">
<italic>R</italic>
<sup>2</sup>
</th>
</tr>
<tr>
<th align="center" valign="top">&#x03BB;</th>
<th align="center" valign="top">&#x03BB;</th>
<th align="center" valign="top">&#x03BB;</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Physics:</italic> people study motion, gravity, and what things are made of. They also study energy, like how a swinging bat can make a baseball switch direction. They study how different liquids, solids, and gas can be turned into heat or electricity</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.59<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.35<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Environmental work</italic>: people study how nature works. They also study how things can harm the environment or people&#x2019;s health, such as trash or air pollution. They study how waste and pollution affect the environment. They invent solutions to these problems</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.59<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.34<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Biology:</italic> people study animals and plants to learn how they grow, how they live, and how they evolve or adapt over time. They also study animals and the food that they make, like how cows make milk. They can use what they know to invent products for people to use</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.55<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.31<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Veterinary work</italic>: people learn how animals&#x2019; bodies work, including pets, farm animals, and wildlife. They try to figure out why animals are sick or hurt, and give medicines or perform surgeries to prevent disease in animals help them get better. They give medicines to help animals get better and for animal and human safety. They also try to prevent disease in animals</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.58<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.34<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Mathematics:</italic> people use math and computers to solve problems. They use it to make decisions in businesses and government. They use numbers to understand why different things happen, like why some people are healthier than others.</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.68<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.46<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Medicine:</italic> people learn how the human body works. They try to figure out why someone is sick or hurt and give medicines to help the person get better. They teach people about health, and sometimes they perform surgery</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.66<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.44<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Earth science:</italic> people study air, water, rocks, and soil on earth, and how they formed over time. Other earth scientists study and predict the weather, such as what causes tornadoes or hurricanes. Some scientists use this information to help make the earth safer and cleaner</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.69<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.48<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Computer science:</italic> people write instructions to run a program that a computer can follow. They design computer games and other programs. They also fix and improve computers for other people</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.41<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.16<sup>&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item>
<p><italic>Medical science</italic>: people study human diseases and work to find answers to human health problems</p>
</list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.69<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.47<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p><italic>Chemistry</italic>: people work with chemicals. They invent new chemicals and use them to make new products, like paints, medicine, and plastic</p></list-item>
</list>
</td>
<td align="char" valign="top" char=".">0.52<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.27<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p><italic>Energy/Electricity</italic>: people invent, improve, and maintain ways to make electricity or heat. They also design the electrical and other power systems in buildings and machines</p></list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.58<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">0.33<sup>&#x002A;&#x002A;&#x002A;</sup></td>
</tr>
<tr>
<td align="left" valign="top">
<list list-type="order">
<list-item><p><italic>Engineering</italic>: people use science, math, and computers to build different products (everything from airplanes to toothbrushes). Engineers make new products and keep them working to make them better</p></list-item>
</list>
</td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.43<sup>&#x002A;&#x002A;&#x002A;</sup></td>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.19<sup>&#x002A;&#x002A;</sup></td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>All factor loadings are fully standardized. <sup>&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, <sup>&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, <sup>&#x002A;&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001.</p>
</table-wrap-foot>
</table-wrap>
<p>All loadings were statistically significant (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001), and all approached or exceeded the threshold for a &#x201C;good&#x201D; loading (<italic>&#x03BB;</italic>&#x2009;=&#x2009;0.55; <xref ref-type="bibr" rid="ref002">Comrey and Lee, 2013</xref>), with two exceptions: the loading of item 12 on factor II and the loading of item 8 on factor III, both of which were slightly below the threshold of a &#x201C;fair&#x201D; loading (<italic>&#x03BB;</italic>&#x2009;=&#x2009;0.45). Not surprisingly, the proportion of variance for items 12 and 8 accounted for by the factors with which they were associated was lower (<italic>R</italic><sup>2</sup>&#x2009;=&#x2009;0.19 and 0.16, respectively) than that accounted for by the other items, which ranged from 0.27 to 0.48 (<italic>p</italic>&#x2009;&#x003C;&#x2009;0.001). Factor 1 represented <italic>Basic/Foundational Sciences, with item loadings associated with</italic> physics, biology, earth science, and chemistry (<italic>&#x03B1;</italic>&#x2009;=&#x2009;0.73). These are science domains that aim to advance foundational knowledge and understanding of the natural world and follow a systemic methodology to establish evidence. Factor II represented <italic>Applied/Service-Oriented Sciences</italic>, with item loadings associated with veterinary work, medicine, and engineering (<italic>&#x03B1;</italic>&#x2009;=&#x2009;0.68). These fields solve problems and directly address the needs of society in order to help and improve quality of life. Finally, Factor III reflected <italic>Computational Sciences</italic>, which included energy/electricity, mathematics, and computer science -related items, all involve the use of math and electricity to solve problems (<italic>&#x03B1;</italic>&#x2009;=&#x2009;0.73).</p>
</sec>
</sec>
</sec>
<sec id="sec34">
<label>3.2</label>
<title>How are scores on each of these measures distributed?</title>
<p>Scores for each scale or sub-scale were calculated as the mean of the completed items. Means, standard deviations, and statistics reporting skew and kurtosis are presented in <xref ref-type="table" rid="tab11">Table 10</xref>, while histograms of the distributions for each scale and sub-scale are presented in <xref ref-type="fig" rid="fig1">Figures 1</xref>&#x2013;<xref ref-type="fig" rid="fig4">4</xref>. As can be seen in <xref ref-type="fig" rid="fig1">Figure 1</xref>, the distribution of scores for the Science Self-efficacy scale is slightly negatively skewed, indicating more positive feelings of self-efficacy in science. <xref ref-type="fig" rid="fig2">Figure 2</xref> shows the two factors for Science Self-concept: (1) Competence and (2) Feelings about Science (Affect). As can be seen in the figure, the Competence subscale approximates a normal distribution while the Affect subscale exhibited a moderate degree of negative skew, indicating overall positive feelings about science. <xref ref-type="fig" rid="fig3">Figure 3</xref> shows the distribution of scores for the 2 factors of the Student Interest in Science Activities (Middle Childhood) scale. As can be seen in the figures, factor 1: informal/less structured activities approximated a normal distribution while factor 2: formal/structured activities exhibited a slight degree of negative skew. The negative skew for this factor again indicates students displayed more interest in engaging in formal activities around science. Finally, <xref ref-type="fig" rid="fig4">Figure 4</xref> shows the distributions of the three subscales for Student Attitudes Toward STEM Careers. As can be seen in <xref ref-type="fig" rid="fig4">Figure 4</xref>, factors 1 Basic/Foundational, and 2, Applied/Service-oriented approximated a normal distribution. For Factor 3, Computational Sciences, the distribution is more spread out, indicating that some students are expressing strong disinterest in these types of careers, while others are expressing interest in them.</p>
<table-wrap position="float" id="tab11">
<label>Table 10</label>
<caption>
<p>Scale and sub-scale descriptives.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="top" rowspan="2">Measure</th>
<th align="left" valign="top" rowspan="2">Sub-scale</th>
<th align="center" valign="top" rowspan="2">
<italic>N</italic>
</th>
<th align="center" valign="top" rowspan="2">
<italic>M</italic>
</th>
<th align="center" valign="top" rowspan="2">
<italic>SD</italic>
</th>
<th align="center" valign="top" colspan="2">Skew</th>
<th align="center" valign="top" colspan="2">Kurtosis</th>
</tr>
<tr>
<th align="center" valign="top">Est.</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
<th align="center" valign="top">Estimate</th>
<th align="center" valign="top">
<italic>SE</italic>
</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Science self-efficacy</td>
<td align="left" valign="top">(n/a)</td>
<td align="center" valign="top">200</td>
<td align="char" valign="top" char=".">2.81</td>
<td align="char" valign="top" char=".">0.69</td>
<td align="char" valign="top" char=".">&#x2212;0.51</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.45</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Science self-concept</td>
<td align="left" valign="top">Perceptions of science competence</td>
<td align="center" valign="top">201</td>
<td align="char" valign="top" char=".">2.67</td>
<td align="char" valign="top" char=".">0.77</td>
<td align="char" valign="top" char=".">&#x2212;0.48</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.66</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
<tr>
<td align="left" valign="top">Feelings about science (affect)</td>
<td align="center" valign="top">199</td>
<td align="char" valign="top" char=".">2.89</td>
<td align="char" valign="top" char=".">0.93</td>
<td align="char" valign="top" char=".">&#x2212;0.93</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.48</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="2">Student interest in science activities (middle childhood) scale</td>
<td align="left" valign="top">Informal, less-structured activities</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.59</td>
<td align="char" valign="top" char=".">1.03</td>
<td align="char" valign="top" char=".">&#x2212;0.25</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.45</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
<tr>
<td align="left" valign="top">Formal, structured activities</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.76</td>
<td align="char" valign="top" char=".">0.95</td>
<td align="char" valign="top" char=".">&#x2212;0.66</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">0.16</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
<tr>
<td align="left" valign="top" rowspan="3">Student attitudes toward STEM careers scale</td>
<td align="left" valign="top">Basic/foundational sciences</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.34</td>
<td align="char" valign="top" char=".">1.15</td>
<td align="char" valign="top" char=".">&#x2212;0.22</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.76</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
<tr>
<td align="left" valign="top">Applied/service-oriented sciences</td>
<td align="center" valign="top">203</td>
<td align="char" valign="top" char=".">2.35</td>
<td align="char" valign="top" char=".">1.17</td>
<td align="char" valign="top" char=".">&#x2212;0.14</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.76</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
<tr>
<td align="left" valign="top">Computational sciences</td>
<td align="center" valign="top">202</td>
<td align="char" valign="top" char=".">2.39</td>
<td align="char" valign="top" char=".">1.25</td>
<td align="char" valign="top" char=".">&#x2212;0.22</td>
<td align="char" valign="top" char=".">0.17</td>
<td align="char" valign="top" char=".">&#x2212;0.66</td>
<td align="char" valign="top" char=".">0.34</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig position="float" id="fig1">
<label>Figure 1</label>
<caption>
<p>Distribution of science self-efficacy scores.</p>
</caption>
<graphic xlink:href="feduc-08-1242876-g001.tif"/>
</fig>
<fig position="float" id="fig2">
<label>Figure 2</label>
<caption>
<p>Distribution of science self-concept scores by sub-scale.</p>
</caption>
<graphic xlink:href="feduc-08-1242876-g002.tif"/>
</fig>
<fig position="float" id="fig3">
<label>Figure 3</label>
<caption>
<p>Distribution of student interest in science activities (middle childhood) by sub-scale.</p>
</caption>
<graphic xlink:href="feduc-08-1242876-g003.tif"/>
</fig>
<fig position="float" id="fig4">
<label>Figure 4</label>
<caption>
<p>Distribution of student attitudes toward STEM careers by sub-scale.</p>
</caption>
<graphic xlink:href="feduc-08-1242876-g004.tif"/>
</fig>
</sec>
<sec id="sec35">
<label>3.3</label>
<title>Do these measures demonstrate convergent validity?</title>
<p>When one is developing a measure, it is important to understand how performance on the measure relates to performance on other measures that assess the same or similar construct. This idea, known as convergent validity, explores whether two measures that <italic>should</italic> be related to each other, <italic>are</italic> related. For example, we hypothesize that measures of height and weight should be related to each other because as one grows taller one also gains more mass. This is also true of psychological constructs. As self-efficacy and self-concept both &#x201C;measure&#x201D; one&#x2019;s perceptions of self, we hypothesize that performance on one will be closely related to performance on another.</p>
<p>While a larger sample is needed to examine this question for these measures, we can examine this question preliminarily. Thus, we explored the correlations (i.e., associations) among the scales and sub-scales for each measure, using scale and sub-scale scores calculated based on the factor loadings for each confirmatory model. For example, our final confirmatory factor model indicated that our measure of science Self-concept displayed a two-factor structure (rather than a single-factor structure): (1) Perceptions of Competence and (2) Feelings about Science (Affect). For each student we calculated a Perceptions of Competence sub-scale score and a Feelings about Science (Affect) sub-scale score as the mean of the items that loaded on each factor. These scores are reported in <xref ref-type="table" rid="tab12">Table 11</xref>, while the correlations among scales and sub-scales are reported in <xref ref-type="table" rid="tab12">Table 11</xref>.</p>
<table-wrap position="float" id="tab12">
<label>Table 11</label>
<caption>
<p>Correlations among scales and subscales.</p>
</caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th/>
<th align="center" valign="top">1</th>
<th align="center" valign="top">2</th>
<th align="center" valign="top">3</th>
<th align="center" valign="top">4</th>
<th align="center" valign="top">5</th>
<th align="center" valign="top">6</th>
<th align="center" valign="top">7</th>
<th align="center" valign="top">8</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">1. <italic>Science self-efficacy</italic></td>
<td align="center" valign="top">&#x2013;</td>
<td align="char" valign="top" char=".">0.62<sup>&#x002A;&#x002A;&#x002A;A</sup></td>
<td align="char" valign="top" char=".">0.50<sup>&#x002A;&#x002A;&#x002A;B</sup></td>
<td align="char" valign="top" char=".">0.30<sup>&#x002A;&#x002A;&#x002A;C</sup></td>
<td align="char" valign="top" char=".">0.18<sup>&#x002A;D</sup></td>
<td align="char" valign="top" char=".">0.28<sup>&#x002A;&#x002A;&#x002A;E</sup></td>
<td align="char" valign="top" char=".">.14<sup>F</sup></td>
<td align="char" valign="top" char=".">0.23<sup>&#x002A;&#x002A;G</sup></td>
</tr>
<tr>
<td align="left" valign="top">2. <italic>Science self-concept</italic>: perceptions of science competence</td>
<td/>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.52<sup>&#x002A;&#x002A;&#x002A;H</sup></td>
<td align="char" valign="top" char=".">0.27<sup>&#x002A;&#x002A;&#x002A;I</sup></td>
<td align="char" valign="top" char=".">.08<sup>J</sup></td>
<td align="char" valign="top" char=".">0.14<sup>&#x002A;K</sup></td>
<td align="char" valign="top" char=".">0.16<sup>&#x002A;L</sup></td>
<td align="char" valign="top" char=".">0.16<sup>&#x002A;M</sup></td>
</tr>
<tr>
<td align="left" valign="top">3. <italic>Science self-concept</italic>: feelings about science (affect)</td>
<td/>
<td/>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.52<sup>&#x002A;&#x002A;&#x002A;N</sup></td>
<td align="char" valign="top" char=".">0.39<sup>&#x002A;&#x002A;&#x002A;O</sup></td>
<td align="char" valign="top" char=".">0.39<sup>&#x002A;&#x002A;&#x002A;P</sup></td>
<td align="char" valign="top" char=".">0.20<sup>&#x002A;&#x002A;Q</sup></td>
<td align="char" valign="top" char=".">0.15<sup>&#x002A;R</sup></td>
</tr>
<tr>
<td align="left" valign="top">4. <italic>Student interest in science activities (middle childhood) scale</italic>: informal, less-structured activities</td>
<td/>
<td/>
<td/>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.45<sup>&#x002A;&#x002A;&#x002A;S</sup></td>
<td align="char" valign="top" char=".">0.52<sup>&#x002A;&#x002A;&#x002A;T</sup></td>
<td align="char" valign="top" char=".">0.25<sup>&#x002A;&#x002A;&#x002A;U</sup></td>
<td align="char" valign="top" char=".">0.30<sup>&#x002A;&#x002A;&#x002A;V</sup></td>
</tr>
<tr>
<td align="left" valign="top">5. <italic>Student interest in science activities (middle childhood) scale</italic>: formal, structured activities</td>
<td/>
<td/>
<td/>
<td/>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.43<sup>&#x002A;&#x002A;&#x002A;W</sup></td>
<td align="char" valign="top" char=".">0.23<sup>&#x002A;&#x002A;X</sup></td>
<td align="char" valign="top" char=".">0.20<sup>&#x002A;&#x002A;Y</sup></td>
</tr>
<tr>
<td align="left" valign="top">6. <italic>Student attitudes toward STEM careers</italic> scale: basic/foundational sciences</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.44<sup>&#x002A;&#x002A;&#x002A;Z</sup></td>
<td align="char" valign="top" char=".">0.42<sup>&#x002A;&#x002A;&#x002A;AA</sup></td>
</tr>
<tr>
<td align="left" valign="top">7. <italic>Student attitudes toward STEM careers</italic> scale: applied/service-oriented sciences</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="char" valign="top" char=".">&#x2013;</td>
<td align="char" valign="top" char=".">0.30<sup>&#x002A;&#x002A;&#x002A;BB</sup></td>
</tr>
<tr>
<td align="left" valign="top">8. <italic>Student attitudes toward STEM careers</italic> scale: computational sciences</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
<td align="char" valign="top" char=".">&#x2013;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<p>For bivariate correlations, <italic>N</italic>&#x2009;=&#x2009;[197, 203]. <sup>&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.05, <sup>&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.01, <sup>&#x002A;&#x002A;&#x002A;</sup> <italic>p</italic>&#x2009;&#x003C;&#x2009;0.001. Gray cells correspond to correlations among sub-scales from the same measure and therefore are partially attributable to shared method variance.</p>
</table-wrap-foot>
</table-wrap>
<p>The five correlations shaded in gray in <xref ref-type="table" rid="tab12">Table 11</xref> correspond to the correlations between subscales taken from the same measure. As they come from the same measure, we predict that these correlations would be strong and positive. In all cases, the correlations are positive, but they are not all strong. For example, the correlation between the Science Self-Concept <italic>Competence</italic> subscale (e.g., I get good grades in science) and the <italic>Affect</italic> subscale (e.g., I look forward to science) is 0.52 (see the gray box from row &#x201C;2. Science Self-Concept: Competence&#x201D; and column 3). The relation between these two subscales is not very strong, suggesting that while they both measure a form of science self-concept, the subscales comprising this measure appear to assess related but distinct aspects of self-concept, which also confirm our factor analysis. An inspection of <xref ref-type="table" rid="tab12">Table 11</xref> reveals this is true for all cases &#x2013; indicating that sub-scales taken from the same measure appear to assess related but also distinct constructs in all cases.</p>
<p>The remaining correlation coefficients reported in <xref ref-type="table" rid="tab12">Table 11</xref> correspond to the associations between scales and subscales from different measures, and in each case, the values for these coefficients are also positive. This is perhaps to be expected, given that all the measures administered in this study were designed to assess the same over-arching domain: students&#x2019; attitudes about STEM. However, it is also apparent that the strength of these positive associations varies widely, ranging from <italic>r</italic>&#x2009;=&#x2009;0.08 to 0.62, reflecting differing degrees of relatedness among measure scales and subscales. For example, the correlation between Science Self-Concept: Competence and Interest towards Basic/Foundational Science Careers (Row 2 and Column 6) is 0.14, suggesting that students&#x2019; perceptions of their science competence is not strongly related to their attitudes toward basic/foundational sciences careers.</p>
</sec>
</sec>
<sec sec-type="discussion" id="sec36">
<label>4</label>
<title>Discussion</title>
<p>Self-perceptions play a critical role in driving academic participation and achievement (<xref ref-type="bibr" rid="ref2">Bandura, 1977</xref>, <xref ref-type="bibr" rid="ref3">1982</xref>; <xref ref-type="bibr" rid="ref66">Schunk, 1989</xref>, <xref ref-type="bibr" rid="ref68">1995</xref>; <xref ref-type="bibr" rid="ref79">Usher and Pajares, 2008</xref>), and many contemporary interventions focus on increasing students&#x2019; interest, confidence, efficacy, and engagement as essential catalysts of achievement. However, without reliable and valid measures to assess young learners&#x2019; self-perceptions and interests in science, we cannot determine what programs are effective and for whom. The goal of the current study was to provide initial evidence for the reliability and validity of a novel set of four measures designed to assess elementary students&#x2019; self-perceptions and interest in science within a diverse sample of 3rd-grade students (94% identified as either Black or Hispanic).</p>
<sec id="sec37">
<label>4.1</label>
<title>Initial evidence for reliability and validity</title>
<p>Our results revealed that the <italic>Science Self-Efficacy Scale</italic> displayed a single-factor structure, which suggests that a single score can be calculated from this measure to indicate elementary students&#x2019; science self-efficacy. This single-factor structure is consistent with measurement work on the structure of self-efficacy (<xref ref-type="bibr" rid="ref4">Bandura, 2006</xref>), as well as the suggestion that self-efficacy can be divided broad domains (academic and non-academic) and that academic self-efficacy can be further divided into sub-domains (e.g., science self-efficacy, math self-efficacy) that function as single subject-specific constructs. In contrast, the <italic>Science Self-Concept Scale</italic> displayed a 2-factor structure that included Perceptions of Science Competence and Feelings about Science (Affect). This division replicates and extends previous work that established the multidimensional nature of academic self-concept in elementary school children. For example, <xref ref-type="bibr" rid="ref001">Arens et al. (2011)</xref> administered Marsh&#x2019;s academic self-concept questionnaire to 3rd &#x2013; 6th graders in Germany and found that the self-concept domain was separated into competence and affect components. Here, we parallel these findings and extend them to the domain of science. While previous work has established that academic self-concept can be divided into domain-specific concepts such as verbal and mathematical self-concept (<xref ref-type="bibr" rid="ref006">Marsh, 1990</xref>; <xref ref-type="bibr" rid="ref010">Skaalvik and Rankin, 1990</xref>) and that academic self-concept includes both affective and competency-related self-perceptions, to our knowledge, our results are the first to demonstrate that this distinction holds for <italic>science</italic> among elementary school students.</p>
<p>The <italic>Student Interest in Science Activities (Middle Childhood) Scale</italic> was designed to examine students&#x2019; current interest in science activities in middle childhood. The data collected using this measure yielded 2 underlying factors representing two broad types of science-related activities common in middle childhood. The first factor reflected informal, less structured, self-guided activities, with the exception of item 1 (&#x201C;Doing science activities in school&#x201D;). The fact that &#x201C;Doing science activities in school&#x201D; loaded on this first factor was surprising, but may be explained, in part, by the way in which students engage in science in the elementary grades in this school district, in which there is greater emphasis on hands-on, exploratory and investigative science activities. This instructional approach may be perceived by students as more self-directed in nature. The second factor reflected more formal, structured activities that are guided by an adult, such as science clubs after school, science camps, and science fairs. To our knowledge, this represents the first measure that explores students&#x2019; interest in age-appropriate, science activities commonly associated with middle childhood.</p>
<p>Our analyzes revealed that <italic>Student Attitudes Towards STEM Careers Scale</italic> displayed a 3-factor structure; Factor 1<italic>Basic/Foundational Sciences,</italic> Factor II, <italic>Applied/Service-Oriented Sciences</italic>, and Factor III <italic>Computational Sciences</italic>. This measure was originally developed by the Friday Institute for upper elementary students, ages 4-5th grade, and the measure codebook does not articulate the number of factors probed by these statements. Therefore, the present study is the first to examine the factor structure of this measure in a diverse sample of 3rd-grade students.</p>
<sec id="sec38">
<label>4.1.1</label>
<title>Convergent validity</title>
<p>The pattern of positive correlations among the scales and subscales that comprised our measures suggest that those measures are assessing related constructs, and thus our results provide preliminary evidence of these measures&#x2019; convergent validity. For example, the robust, positive correlation between the <italic>Science Self-Efficacy Scale</italic> and the <italic>Science Self-Concept: Science Competence Subscale</italic> indicates that both scales/subscales are measuring beliefs about one&#x2019;s competency in science but that these beliefs are distinct. This finding replicates recent work by <xref ref-type="bibr" rid="ref50">Marsh et al. (2019b)</xref> in two ways. First, it is consistent with Marsh&#x2019;s overall finding of a strong, positive association between self-efficacy and self-concept measures. Second, the fact that our observed associations among the self-efficacy and self-concept scales/subscales were smaller than those reported by <xref ref-type="bibr" rid="ref50">Marsh et al. (2019b)</xref> may be explained, in part, by the fact that our self-efficacy measure was deliberately designed to include items referencing the future. While speculative, this interpretation provides initial empirical support for Marsh&#x2019;s conceptual distinction between self-efficacy and self-concept.</p>
<p>Similarly, our results show that <italic>Student Interest in Science (Middle Childhood)</italic>, <italic>Student Attitudes Toward STEM Careers Scale</italic>, and <italic>Science Self-Concept</italic> have subscales that assess different aspects of broadly similar beliefs and feelings. For example, the two subscales of the <italic>Student Interest in Science Activities Scale</italic> are moderately correlated, indicating that interest in formal and informal activities is related but is not the same. The same is true for the three subscales of the <italic>Student Attitudes Toward STEM Careers Scale</italic>. Scores on the <italic>Basic/Foundational Science</italic> careers subscale are moderately correlated with interest in <italic>Applied/Service-Oriented Science</italic> careers, while scores on the interest in <italic>Applied/Service-Oriented Science</italic> careers and <italic>Computational Science</italic> careers subscales are highly correlated. Finally, the fact that some subscales are not correlated with each other (e.g., <italic>Science Self-Concept: Science Competence</italic> subscale and the <italic>Student Interest in Science Activities Scale: Formal, Structured Activities</italic>) provides some preliminary evidence for the <italic>divergent</italic> validity of these measures, although additional research is clearly needed to further examine the convergent and divergent validity of these measures.</p>
</sec>
</sec>
<sec id="sec39">
<label>4.2</label>
<title>Implications for research and practice</title>
<p>Our results have implications for research in measurement development and offer guidance for using these measures to evaluate program effectiveness.</p>
<sec id="sec40">
<label>4.2.1</label>
<title>Going beyond internal consistency</title>
<p>It is common practice, particularly in the field of program evaluation, to assume that a measure is unidimensional if its internal consistency is high. However, this is not always the case, as illustrated by our results. For all four measures, we may have assumed unidimensionality based on the values of Cronbach&#x2019;s alpha and the item-total correlations. The exploratory and confirmatory factor analyzes suggested that three of the four of these measures were not unidimensional, and, therefore, we calculated subscale scores for each factor.</p>
<p>Had we instead calculated a single score, it may have had serious implications in the context of a program evaluation. Imagine a situation in which researchers used the <italic>Science Self-Concept Scale</italic> to examine the effectiveness of an out-of-school time program designed to help students from underrepresented backgrounds develop positive science perceptions and competence. In one scenario, the researchers calculate a single score for the scale based on Cronbach&#x2019;s alpha and item-total correlations, and, based on comparisons of these scores pre- and post-program, they conclude that there is no evidence that the program builds students&#x2019; science perceptions or sense of competence, and, based on this conclusion the program&#x2019;s funder decides that they would prefer to support a new initiative.</p>
<p>In an alternate scenario, researchers conducted a factor analysis that leads them to calculate the same subscale scores reported above. Using these subscales, they find that while there is no evidence that the program builds students&#x2019; feelings of science competency, there <italic>is</italic> evidence that the program improves students&#x2019; ratings on the <italic>Feelings about Science (Affect)</italic> subscale. Based on these results, the program developers adjust the program to continue to support students&#x2019; affective experiences while continuing to dedicate more time to developing their feelings of competence, which ultimately leads to continued support for the program by funders, and, thereby, further opportunities for students to participate in the program. As this example illustrates, a seemingly minor analytic decision can, in fact, have serious practical consequences: it is entirely possible for program effects to go unobserved if researchers incorrectly assume a unidimensional measure structure and calculate overall scale scores to use in their program evaluations.</p>
</sec>
<sec id="sec41">
<label>4.2.2</label>
<title>Importance of measurement development work in diverse populations</title>
<p>Understanding and improving STEM outcomes for students underrepresented in STEM fields requires sensitive measurement tools, developed with diverse populations. However, it is often assumed that the measures assess the same underlying constructs across populations. This is problematic, as there is evidence that a measure may not perform the same across groups and can be assessing different constructs for different populations (measurement noninvariance; <xref ref-type="bibr" rid="ref38">Knight and Hill, 1998</xref>). Indeed, recent education research has shown that measurement noninvariance can impact the estimates of treatment effects even in randomized control trials, the &#x201C;gold standard&#x201D; for educational programs and interventions (<xref ref-type="bibr" rid="ref71">Soland, 2021</xref>). For example, <xref ref-type="bibr" rid="ref003">Dong and Dumas (2020)</xref> examined whether well-established personality measures are invariant across cultures, gender, and age. The reported evidence that several personality measures are not invariant across groups, indicates that the same measure appears to be measuring different constructs for different populations. This underscores the importance of conducting measurement development work with diverse populations to determine measurement invariance (equivalence). The current study takes the first step in develop reliable and valid measures of young students&#x2019; self-perceptions in science with a diverse sample of students. The measures can be used in future research to advance our theoretical understanding of STEM beliefs and identify promising programs that work well for underrepresented students.</p>
</sec>
</sec>
<sec id="sec42">
<label>4.3</label>
<title>Limitations and future directions</title>
<p>This paper establishes preliminary evidence for the reliability and validity of our measures and additional work should attempt to replicate their factor structure. While our analyzes indicate these measures are promising, psychometrically, future research should address the limitations of this preliminary pilot study and expand on this work in several ways.</p>
<p>First, our study was conducted with a sample of 204 3rd graders (8&#x2013;9&#x2009;years old) attending a public elementary school in a large, urban district. The size of our sample imposed certain limitations on our analyzes, which were most evident when attempting to fit higher-dimensional models to certain measures (e.g., the Student Interest in Science Activities (Middle Childhood) Scale). Therefore, our results should be replicated in future research employing larger samples. This research will also serve to inform the ongoing debate regarding the conceptual and empirical distinctions between self-efficacy and self-concept constructs at the general and domain-specific levels. For instance, <xref ref-type="bibr" rid="ref50">Marsh et al. (2019b)</xref> explored the distinctions between self-efficacy and self-concept with a large sample of 11- to 12-year-old German students using 5 established and well-validated measures. They found generalized math self-efficacy and math outcome expectancies were statistically indistinguishable from math self-concept, suggesting that they may represent a single construct, but that these measures were empirically distinct from test-related and functional measures of self-efficacy. Given that understanding elementary school children&#x2019;s science self-efficacy and self-concept is a burgeoning area of research with clear implications for workforce development, more research is clearly needed to further explore the conceptual and empirical distinctions between these constructs. Our newly devised measures could serve as a springboard for more extensive studies featuring larger samples that would allow fitting models with alternative factor structures, including those in which science self-efficacy and self-concept items loaded on a single factor. These studies could also seek to systematically vary items according to their temporal frame of reference (past/future) to investigate whether this difference in frame of reference accounts for much of the distinction between self-efficacy and self-concept, as proposed by <xref ref-type="bibr" rid="ref50">Marsh et al. (2019b)</xref>.</p>
<p>A second limitation to this work arises from a potentially unique educational experience within our sample. The pilot study was conducted in a school district that prioritizes science education, even in elementary school. This district hosts yearly science fairs and includes a variety of science opportunities for their students. This may partially explain the distributions for each measure&#x2019;s scale and subscale (shown in <xref ref-type="fig" rid="fig1">Figures 1</xref>&#x2013;<xref ref-type="fig" rid="fig4">4</xref>); distributions that suggest a population of students who are interested and moderately confident in their science skills. Additional work should replicate this in other districts to examine the variability in student self-perceptions and interests in this age range from districts that may not have a similar focus on science.</p>
<p>Future research should also expand upon this work with additional student populations (e.g., students from other racial/ethnic backgrounds, across rural and suburban populations, and across older and younger elementary populations). One point of particular interest would be the extent to which older students&#x2019; responses to the items that comprised certain sub-scales might be more internally consistent than the responses provided by their younger counterparts. The internal consistency values for the items that comprised each factor of the <italic>Student Interest in Science Activities (Middle Childhood)</italic> measure were marginal, as was the value for the items that corresponded to the third factor (Computational Sciences) of the <italic>Student Attitudes About STEM Careers</italic> measure. This may reflect, in part, 3rd grade students&#x2019; relative unfamiliarity with the outlined science activities or STEM-related careers (e.g., computer science). For instance, while the science activities described in the <italic>Student Interest in Science Activities</italic> measure were developmentally appropriate, not all children have access to these activities, which would likely lead to uncertainty about their interest level. Future research with students representing a wider range of ages and background experiences would allow this hypothesis to be tested.</p>
<p>Relatedly, future research should also explore whether students&#x2019; demographic characteristics (e.g., gender identity, race/ethnicity) are associated with different responses on the scales and subscales that comprise the measures featured in this study. However, this should only be done after establishing that these scales and sub-scales display properties of measurement invariance across these demographically-defined groups. This will allow us to assess whether our measures are assessing the same constructs and on the same scales for students with different gender identities and from different racial and ethnic backgrounds. Conducting measurement development work with diverse populations necessitates ensuring that the developed measures are assessing the same constructs for all populations.</p>
<p>A third limitation of our study is that our capacity to establish convergent and divergent validity is limited. While we can glean some evidence of these from the sub-scales of each measure, additional work should include additional measures that should and should not theoretically be related to these measures to provide additional evidence of convergent and divergent validity. Finally, a natural question that arises from this work relates to the predictive capacity of these measures to determine how they relate to and predict students&#x2019; performance in science and mathematics at school. Our work is limited in that it does not allow us to answer this question. However, the measurement development work presented here paves the way for others to answer such questions.</p>
<p>Lastly, another critical line of research should elucidate how science self-efficacy, self-concept, and interest develop over time, beginning in the elementary years when students start to engage in formal and informal science activities. This work should examine how different types of learning experiences influence the developmental trajectory, and whether students&#x2019; science self-perceptions and interest predict academic achievement, higher education fields of study, and entrance into STEM fields. Information from this line of research will be critical to the development and expansion of evidence-based programs and practices aimed at growing the STEM workforce.</p>
</sec>
</sec>
<sec sec-type="conclusions" id="sec43">
<label>5</label>
<title>Conclusion</title>
<p>In addition to offering a path for additional measurement development work, our findings contribute to theory and practice in three ways. First, these measures pave the way for advances in understanding the nature of elementary students&#x2019; science self-perceptions and interests. These measures can be used in future research to generate insights into how self-perceptions and interests in STEM develop over time and be used to study their impact on academic and behavioral achievement throughout students&#x2019; tenure in school. Second, our findings offer direct guidance to researchers on how to examine student responses within subscales of these measures. Three of the four measures had multi-factor structures, suggesting a more nuanced analytic approach will be important for future work. Third, understanding and improving STEM outcomes for underrepresented students requires psychometrically sound measures for diverse student populations. These measures are available for use by researchers and practitioners to determine what types of programs and practices are most effective in fostering STEM achievement and for whom. The work presented here is a first step towards developing measures that can be used to inform and refine programs intended to support diversity and representation in science.</p>
</sec>
<sec sec-type="data-availability" id="sec44">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="sec45">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Heartland Institutional Review Board. The studies were conducted in accordance with the local legislation and institutional requirements. The ethics committee/institutional review board waived the requirement of written informed consent for participation from the participants or the participants' legal guardians/next of kin because Our district partners co-developed this study. According to their internal guidelines, this project falls under typical school curriculum development and field testing practices and data is collected to inform the future refinement of instructional practices in the district. Additionally, the requirement for informed consent is outside the normal operating protocols for the district, and would place a greater burden on district staff to obtain consent for common educational practices.</p>
</sec>
<sec sec-type="author-contributions" id="sec46">
<title>Author contributions</title>
<p>KG led the literature review, data collection, and manuscript development. KF led development and adaptation of measures and contributed to the literature review and manuscript preparation. SH led data analytic plan, conducted statistical analyses, and contributed to manuscript preparation. MC contributed to the literature review. All authors provided critical feedback and helped shape the research design, measurement development/adaptation, analytic plan, and manuscript preparation. All authors approved the submitted version of this article.</p>
</sec>
</body>
<back>
<sec sec-type="funding-information" id="sec147">
<title>Funding</title>
<p>The author(s) declare financial support was received for the research, authorship, and/or publication of this article. This was funded by a grant from the Institute of Education Sciences to PI Gagnier, R305A200523.</p>
</sec>
<sec sec-type="COI-statement" id="sec47">
<title>Conflict of interest</title>
<p>KG and KF were employed by AnLar LLC.</p>
<p>The remaining authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec id="sec100" sec-type="disclaimer">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="sec48">
<title>Supplementary material</title>
<p>The Supplementary material for this article can be found online at: <ext-link xlink:href="https://www.frontiersin.org/articles/10.3389/feduc.2023.1242876/full#supplementary-material" ext-link-type="uri">https://www.frontiersin.org/articles/10.3389/feduc.2023.1242876/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Data_Sheet_1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<fn-group>
<fn id="fn0001">
<p><sup>1</sup>&#x201C;Unstructured activities&#x201D; in the developmental literature often include self-directed activities that do, indeed, contain some level of structure (e.g., reading a book or playing a video game may be self-initiated and directed by the student, but the overall structure was created by an adult) and may still require some adult supervision. Thus, we refer to this set of activities as &#x201C;less-structured.&#x201D;</p>
</fn>
<fn id="fn0002">
<p><sup>2</sup>Model fit is often assessed using a series of statistics including the Root Mean Square Error of Approximation (RMSEA), the Standardized Root Mean Square Residual (SRMR), the confirmatory fit index (CFI), and the Tucker-Lewis index (TLI). Although the thresholds used to qualify a model&#x2019;s fit as &#x201C;acceptable&#x201D; or &#x201C;good&#x201D; vary somewhat, those suggested by <xref ref-type="bibr" rid="ref31">Hu et al. (2022)</xref> are widely employed and specify an RMSEA and SRMR below 0.08 and CFI and TLI values above 0.95 as indicative of acceptable model fit. To determine whether the addition of another factor significantly improves model fit (in which case the concomitant loss of parsimony might be deemed acceptable), a likelihood ratio test (LRT) based on the chi-squared (<italic>X</italic><sup>2</sup>) values associated with each model is often used.</p>
</fn>
</fn-group>
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