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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Psychol.</journal-id>
<journal-title>Frontiers in Psychology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Psychol.</abbrev-journal-title>
<issn pub-type="epub">1664-1078</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fpsyg.2022.982565</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Psychology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Cross-validation and modifications of the perceived mattering questionnaire&#x02014;Physical education in Chinese inservice physical education teachers</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Zhang</surname> <given-names>Xin</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Liu</surname> <given-names>Jingwen</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1914865/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Liu</surname> <given-names>Xiaolu</given-names></name>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1940411/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Shangguan</surname> <given-names>Rulan</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1891847/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Hamilton</surname> <given-names>Xiaofen D.</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/1918225/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Guan</surname> <given-names>Jianmin</given-names></name>
<xref ref-type="aff" rid="aff6"><sup>6</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Bridges</surname> <given-names>Dwan</given-names></name>
<xref ref-type="aff" rid="aff7"><sup>7</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Department of Physical Education, Nanjing University of Aeronautics and Astronautics</institution>, <addr-line>Nanjing</addr-line>, <country>China</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Kinesiology, California State University</institution>, <addr-line>Fullerton, CA</addr-line>, <country>United States</country></aff>
<aff id="aff3"><sup>3</sup><institution>Department of Kinesiology and Health, Georgia State University</institution>, <addr-line>Atlanta, GA</addr-line>, <country>United States</country></aff>
<aff id="aff4"><sup>4</sup><institution>School of Physical Education, South China University of Technology</institution>, <addr-line>Guangzhou</addr-line>, <country>China</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Curriculum &#x00026; Instruction, University of Texas at Austin</institution>, <addr-line>Austin, TX</addr-line>, <country>United States</country></aff>
<aff id="aff6"><sup>6</sup><institution>Department of Kinesiology, University of Texas at San Antonio</institution>, <addr-line>San Antonio, TX</addr-line>, <country>United States</country></aff>
<aff id="aff7"><sup>7</sup><institution>Department of Kinesiology, Nutrition &#x00026; Food Science, California State University</institution>, <addr-line>Los Angeles, CA</addr-line>, <country>United States</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Antonio Hern&#x000E1;ndez-Mendo, University of Malaga, Spain</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Jocelyn Holden Bolin, Ball State University, United States; M<sup><underline>a</underline></sup> Auxiliadora Franquelo Egea, Universidad de M&#x000E1;laga, Spain</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Rulan Shangguan <email>rlshangguan&#x00040;scut.edu.cn</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Quantitative Psychology and Measurement, a section of the journal Frontiers in Psychology</p></fn></author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>08</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>982565</elocation-id>
<history>
<date date-type="received">
<day>30</day>
<month>06</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>22</day>
<month>07</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2022 Zhang, Liu, Liu, Shangguan, Hamilton, Guan and Bridges.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Zhang, Liu, Liu, Shangguan, Hamilton, Guan and Bridges</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>This study aimed to provide evidence of validity and reliability for the Perceived Mattering Questionnaire-Physical Education (PMQ-PE) developed by Richards et al. (2017) for the Chinese physical education (PE) teachers. The PMQ-PE consisted of two factors (i.e., PE matters and PE teacher matters) with four items in each, measuring four dimensions (attention, importance, dependence, and ego-extension). PMQ-PE in Chinese (PMQ-PEC) was validated among 1,278 elementary and secondary school PE teachers in China, of whom 59.0% were secondary PE teachers and 70.2% were males. Confirmatory factor analysis (CFA) with the entire sample found a poor model fit. Then exploratory factor analysis (EFA) using half of the sample indicated there was only one factor in PMQ-PEC. CFA of the other half of the sample suggested a one-factor model with the elimination of three unfitted items showed a better fitness to the data. Cronbach&#x00027;s alpha value was also acceptable. The final version of PMQ-PEC included five items with one factor that demonstrated acceptable validity and reliability and was deemed acceptable among Chinese PE teachers after the above modifications were made.</p></abstract>
<kwd-group>
<kwd>revalidation</kwd>
<kwd>perceived mattering questionnaire</kwd>
<kwd>physical education teachers</kwd>
<kwd>validity</kwd>
<kwd>reliability</kwd>
</kwd-group>
<counts>
<fig-count count="2"/>
<table-count count="3"/>
<equation-count count="0"/>
<ref-count count="41"/>
<page-count count="9"/>
<word-count count="6110"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>It has been reported that less than one-third of states required high school physical education (PE) and there was only one state that required PE for all K-12 programs in the US (Dauenhauer et al., <xref ref-type="bibr" rid="B4">2019</xref>). This means that PE received less attention in US schools. Although similar data in other countries were unavailable, the marginalization of PE exists in many countries (Johns and Dimmock, <xref ref-type="bibr" rid="B17">1999</xref>; Gray et al., <xref ref-type="bibr" rid="B13">2012</xref>; Burnett, <xref ref-type="bibr" rid="B2">2021</xref>). This has particularly resulted from the implementation of standardized testing, which focused on core subject matters such as math, science, and language (Gray et al., <xref ref-type="bibr" rid="B13">2012</xref>; Richards et al., <xref ref-type="bibr" rid="B33">2014</xref>). Because PE is not included in these tests with limited resources (Burnett, <xref ref-type="bibr" rid="B2">2021</xref>), it is considered as a peripheral or less important subject matter in schools (Lux and McCullick, <xref ref-type="bibr" rid="B21">2011</xref>; Richards et al., <xref ref-type="bibr" rid="B34">2019</xref>). More alarmingly, Sheehy (<xref ref-type="bibr" rid="B37">2011</xref>) stated:</p>
<p>The marginalization of PE is a complex issue that continues to overshadow the unique contribution that quality PE can make to the lives of young people. The marginal status of PE has become the status quo, while PE teachers, for the most part, have failed to engage in practices that would combat this situation. (p. 42)</p>
<p>Because of the marginalization of PE in educational settings, the perceived mattering PE teachers hold regarding their jobs and roles in the school has become an important strand of research in recent years (Gaudreault et al., <xref ref-type="bibr" rid="B12">2018</xref>; Richards et al., <xref ref-type="bibr" rid="B34">2019</xref>). Previous research on the topic has denoted that PE teachers experienced the effects of marginalization in their daily teaching (Washburn et al., <xref ref-type="bibr" rid="B40">2020</xref>), resulting in negative feelings associated with marginality causing stress, burnout, and early career retention (Whipp et al., <xref ref-type="bibr" rid="B41">2007</xref>; O&#x00027;Halloran and Moynihan, <xref ref-type="bibr" rid="B29">2020</xref>). On the other hand, due to the well-known potential contribution of PE to help students adopt a healthy lifestyle, many countries such as Austria (Dollman et al., <xref ref-type="bibr" rid="B6">2006</xref>), China (Chinese Department of Sports Hygiene Health Education, <xref ref-type="bibr" rid="B3">2014</xref>), Finland (M&#x000E4;kel&#x000E4; et al., <xref ref-type="bibr" rid="B22">2014</xref>), Scotland (Gray et al., <xref ref-type="bibr" rid="B13">2012</xref>), South Africa (Burnett, <xref ref-type="bibr" rid="B2">2021</xref>), and the US (McKenzie, <xref ref-type="bibr" rid="B24">2019</xref>) have paid more attention to quality PE (QPE) in conjunction with health education in schools. As such, there is an urgent need to generate new knowledge about perceived mattering and its effects on QPE. Unfortunately, research on the perceived mattering of PE has been rare and only a handful of studies have been available in the literature and most were conducted in the US (e.g., Marshall, <xref ref-type="bibr" rid="B23">2001</xref>; Gaudreault et al., <xref ref-type="bibr" rid="B12">2018</xref>; Richards et al., <xref ref-type="bibr" rid="B34">2019</xref>; O&#x00027;Halloran and Moynihan, <xref ref-type="bibr" rid="B29">2020</xref>).</p>
<sec>
<title>Definition of perceived mattering</title>
<p>Moschella and Banyard (<xref ref-type="bibr" rid="B28">2021</xref>) noted that &#x0201C;mattering is the subjective perception that others are aware of us, care about us, and depend on us at the interpersonal (e.g., friends) and societal levels (e.g., workplace, school)&#x0201D; (p. 55). Richards et al. (<xref ref-type="bibr" rid="B30">2017</xref>) pointed out that perceived mattering is the construct that others are aware of oneself, or the tendency to believe one is important to other people. In the current study, mattering was defined as &#x0201C;the perception that, to some degree and in any of a variety of ways, we are a significant part of the world around us&#x0201D; (Elliott et al., <xref ref-type="bibr" rid="B7">2004</xref>, p. 339). The reason for choosing this definition is that it captures the essence of perceived mattering &#x02013; the people in the specific environment (schools in our study) that affect one&#x00027;s work.</p>
</sec>
<sec>
<title>Perceived mattering and the perceived mattering questionnaire&#x02014;PE (PMQ-PE)</title>
<sec>
<title>Dimensions</title>
<p>A thorough examination of current literature on mattering indicated that researchers agreed upon four dimensions: attention, importance, dependence, and ego-extension, focusing on the people in the teaching context (Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>; Gaudreault et al., <xref ref-type="bibr" rid="B12">2018</xref>). It is important to point out that all four dimensions are not physical but psychological tendencies (Marshall, <xref ref-type="bibr" rid="B23">2001</xref>). A number of scholars (Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>, <xref ref-type="bibr" rid="B31">2018a</xref>; Gaudreault et al., <xref ref-type="bibr" rid="B12">2018</xref>; Washburn et al., <xref ref-type="bibr" rid="B40">2020</xref>) agreed that attention means that a person or subject is of interest to other people or groups. Importance is related to the concept that others value the contributions of a person or subject to the group. Dependence refers to the degree that others or the group rely on a person or subject, while ego-extension is associated with the notion that others care about the successes or failures of a person or subject.</p>
</sec>
<sec>
<title>PMQ-PE</title>
<p>Because PE teachers&#x00027; perceived mattering can only be thoroughly investigated with reliable and valid instruments, it is important to develop a scale for measuring PMQ-PE that can be used with confidence. The PMQ-PE developed by Richards et al. (<xref ref-type="bibr" rid="B30">2017</xref>) has shown evidence of reliability and validity in examining PE teachers&#x00027; perceived mattering in the US. The PMQ-PE includes two factors (PE matters and PE teacher matters) with four items for each, underpinning the concept that individuals&#x00027; perceptions of PE as a subject matter in schools are different from that of PE teachers. Specifically, &#x0201C;PE matters&#x0201D; refers to PE teachers&#x00027; perceived mattering concerning PE as the subject matter in schools. PE teacher matter focuses on PE teachers&#x00027; perceptions on their matter to people in schools (Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>; Washburn et al., <xref ref-type="bibr" rid="B40">2020</xref>). The items were set to a 4-point Likert scale with 1 representing &#x0201C;not at all,&#x0201D; 2 representing a little, 3 representing &#x0201C;somewhat,&#x0201D; and 4 representing &#x0201C;a lot.&#x0201D; &#x0201C;PE matters&#x0201D; refers to PE teachers&#x00027; perceived mattering concerning PE as the subject matter in schools. PE teacher matter focuses on PE teachers&#x00027; perceptions that they matter to people in schools (Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>; Washburn et al., <xref ref-type="bibr" rid="B40">2020</xref>). No negatively worded items were used. The PMQ-PE was validated using 460 PE teachers and has demonstrated acceptable reliability (Cronbach&#x00027;s alphas for the PE teacher matters and PE matters were 0.87 and 0.86, respectively) and construct validity (NFI = 0.97, CFI = 0.98, SRMR = 0.03, RMSEA = 0.07) (Note: the cut-off value for RMSEA to be acceptable was smaller than 0.05 according to Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>). Convergent, discriminant, and divergent validity were also tested using confirmatory factor analysis (CFA) and all the values were within the acceptable range (see Richards et al., <xref ref-type="bibr" rid="B30">2017</xref> for more detailed information). To date, a few studies have used PMQ-PE to quantitatively examine PE teachers&#x00027; perceived mattering in the US (Richards et al., <xref ref-type="bibr" rid="B31">2018a</xref>,<xref ref-type="bibr" rid="B32">b</xref>, <xref ref-type="bibr" rid="B35">2020</xref>; O&#x00027;Halloran and Moynihan, <xref ref-type="bibr" rid="B29">2020</xref>; Washburn et al., <xref ref-type="bibr" rid="B40">2020</xref>).</p>
<p>Because the curricula, instructional time, and academic status of PE vary greatly across countries, it is important to validate PMQ-PE in the country of an intended research site before the scale can be used with confidence. To the best of our knowledge, however, this scale has not been validated in the Chinese population. Given that the marginalization of PE occurs worldwide, there is a need to validate PMQ-PE in Chinese PE teachers (PMQ-PEC) in order to help explore perceived mattering issues in China and regions where Chinese is the official language. The cross-culture validated scale would help facilitate research on perceived mattering in PE across nations. This may eventually lead to further understanding of the entire issue concerning the marginalization of PE in different countries to provide baseline data for changing the status of PE in schools so that students can be better physically educated. Therefore, the purpose of the study was to test the reliability and validity of PMQ-PEC in China, where marginalization of PE occurs, even though PE is given more scores in standardized tests and gaining more governmental attention. It is hoped that the present study would stimulate more revalidation studies on the topic in other countries where marginalization of PE occurs to help PE teachers improve the quality of their professional careers.</p>
</sec>
</sec>
</sec>
<sec sec-type="methods" id="s2">
<title>Methods</title>
<p>In alignment with the process outlined by Richards et al. (<xref ref-type="bibr" rid="B30">2017</xref>) study on validating the PMQ-PE in the US, this investigation duplicated the validation process. An Institutional Review Board (IRB) approval was not obtained because it does not have such a requirement in China (Keating et al., <xref ref-type="bibr" rid="B19">2020</xref>). However, the guidelines for human subject studies used in the US were closely followed to protect the privacy of participants. No identifiable personal information was collected in the current study.</p>
<sec>
<title>Participants</title>
<p>A convenient sample of 1,278 full-time PE teachers in elementary and secondary schools in China participated in the study. Although the survey is anonymous, the online survey tool can still generate information concerning where the participants were physically located. The participants were from all Chinese provinces and autonomous cities except Taiwan. There were 70.2% of males and 29.8% of females, which is about the same as the population of PE teachers in China in which about two-thirds of the population are males (Keating et al., <xref ref-type="bibr" rid="B19">2020</xref>). In addition, 511 (40.0%) and 715 (55.9%) were elementary and secondary PE teachers, respectively (Note: missing 4.1%). The average age was 35.3 (<italic>SD</italic> = 8.3).</p>
</sec>
<sec>
<title>PMQ-PE in Chinese (PMQ-PEC)</title>
<p>In an effort to cross-validate the PMQ-PE and explore potential convergent and discriminant validity of the PMQ-PE with Chinese teachers, the PMQ-PE was translated into Chinese first by the first author and then edited by the entire research team. The PMQ-PEC was sent to five Chinese-born professors in the Department of Kinesiology at American public state universities to ensure the accuracy of the translation. Minor changes were made to the wording in the Chinese version of the instruments based on the feedback. Specifically, PMQ-PEC also consisted of two factors (PE matters and PE teacher matters), consisting of the original four items in each domain. Instead of using a 4-point scale in PMQ-PE, however, PMQ-PEC used a 7-point Likert response format for an adequate survey sensitivity to measure the perceptions of participants (Finstad, <xref ref-type="bibr" rid="B10">2010</xref>). The responses ranged from 1 (strongly disagree) to 7 (strongly agree). The point of 4 measured the neutral perception. Demographic information such as age, gender, the total years of teaching, and the educational level of teaching was surveyed at the end of the PMQ-PEC.</p>
</sec>
<sec>
<title>Data collection</title>
<p>A Chinese online survey tool, namely Wenjuanxing, a professional and most widely used survey website in China, was used to deliver the survey so that it could be completed using either a computer or a cellphone. The snowballing method was used to generate a relatively large sample size by sending the survey link to PE teachers and encouraging them to forward the link to other PE teachers. All participants were asked to provide their affiliations and universities that issued their degrees to ensure the authenticity of the data collected. Information about the name of the schools and years of teaching at each educational level was also checked to make sure that the participants were indeed PE teachers.</p>
</sec>
<sec>
<title>Data analysis</title>
<p>Based on the purpose of the study, CFA using the entire sample was first run to test the model proposed by Richards et al. (<xref ref-type="bibr" rid="B30">2017</xref>) with the two factors (i.e., PE matters and PE teacher matters). Because the high correlations between factors and low factor loadings of items were found, it was deemed necessary to re-examine the structure of PMQ-PEC in the sample of Chinese PE teachers. As such, the sample was randomly divided into two sub-samples (i.e., sample A and sample B) with a relatively close sample size (see <xref ref-type="table" rid="T1">Table 1</xref> for the demographic information of the samples). Exploratory factor analysis (EFA) was used to examine the structure of the data using sample A, followed by CFA using sample B. Data screening, descriptive statistics, and the EFA were conducted using IBM SPSS 23.0 software while IBM AMOS 26 was used for running CFA (IBM Corporation, <xref ref-type="bibr" rid="B16">2021</xref>).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p>Demographic information of the samples.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Variables</bold></th>
<th valign="top" align="center" style="border-bottom: thin solid #000000;"><bold>Entire sample</bold></th>
<th valign="top" align="center" style="border-bottom: thin solid #000000;"><bold>Sample A for EFA</bold></th>
<th valign="top" align="center" style="border-bottom: thin solid #000000;"><bold>Sample B for CFA</bold></th>
<th style="border-bottom: thin solid #000000;"/>
<th style="border-bottom: thin solid #000000;"/>
<th style="border-bottom: thin solid #000000;"/>
</tr>
<tr>
<th/>
<th valign="top" align="center"><bold>M (<italic>SD</italic>)</bold></th>
<th valign="top" align="center"><bold><italic>N</italic> (%)</bold></th>
<th valign="top" align="center"><bold>M (<italic>SD</italic>)</bold></th>
<th valign="top" align="center"><bold><italic>N</italic> (%)</bold></th>
<th valign="top" align="center"><bold>M (<italic>SD</italic>)</bold></th>
<th valign="top" align="center"><bold><italic>N</italic> (%)</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Age</td>
<td valign="top" align="center">35.3 (8.3)</td>
<td/>
<td valign="top" align="center">35.1 (8.2)</td>
<td/>
<td valign="top" align="center">35.6</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">Year of teaching</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;Elem.</td>
<td valign="top" align="center">3.8 (7.0)</td>
<td/>
<td valign="top" align="center">3.7 (6.9)</td>
<td/>
<td valign="top" align="center">3.8 (7.0)</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;Secon.</td>
<td valign="top" align="center">7.5 (9.3)</td>
<td/>
<td valign="top" align="center">7.2 (9.0)</td>
<td/>
<td valign="top" align="center">7.8 (9.7)</td>
<td/>
</tr>
<tr>
<td valign="top" align="left">Gender</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;Male</td>
<td/>
<td valign="top" align="center">898 (70.2)</td>
<td/>
<td valign="top" align="center">460 (72.0)</td>
<td/>
<td valign="top" align="center">438 (68.5)</td>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;Female</td>
<td/>
<td valign="top" align="center">381 (29.8)</td>
<td/>
<td valign="top" align="center">179 (28.0)</td>
<td/>
<td valign="top" align="center">201 (31.5)</td>
</tr>
<tr>
<td valign="top" align="left">School level</td>
<td/>
<td/>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;Elementary</td>
<td/>
<td valign="top" align="center">511 (40.0)</td>
<td/>
<td valign="top" align="center">256 (40.1)</td>
<td/>
<td valign="top" align="center">255 (39.9)</td>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;Secondary</td>
<td/>
<td valign="top" align="center">715 (55.9)</td>
<td/>
<td valign="top" align="center">361 (56.5)</td>
<td/>
<td valign="top" align="center">354 (55.4)</td>
</tr>
<tr>
<td valign="top" align="left">&#x000A0;&#x000A0;&#x000A0;Missing</td>
<td/>
<td valign="top" align="center">53 (4.1)</td>
<td/>
<td valign="top" align="center">22 (3.4)</td>
<td/>
<td valign="top" align="center">30 (4.7)</td>
</tr>
</tbody>
</table>
</table-wrap>
<sec>
<title>EFA</title>
<p>EFA was run using maximum likelihood extraction to test the underlying factor structure of the PMQ-PEC. Specifically, factors with eigenvalues over one were extracted, and a direct oblimin rotation was selected due to the high correlation between the two factors. Items with factor loading values &#x0003E;0.30 were kept (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>). Significant cross-loading items were viewed as unfitted and should be removed.</p>
</sec>
<sec>
<title>CFA</title>
<p>CFA was then performed to confirm the factor structure. The convergent, divergent, and discriminant validity of the PMQ-PEC was also examined using the second sub-sample. Cronbach&#x00027;s alpha was computed to assess the internal consistency of scores produced by PMQ-PEC. The cut-off value for alpha was set at alpha &#x0003E;0.70 to show acceptable reliability (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>). The homogeneity of each domain was first tested by fitting the data to a one-factor model. Then a two-factor model was used to examine its two-factor structure (i.e., PE matters and PE teacher matters). According to Meyers et al. (<xref ref-type="bibr" rid="B27">2017</xref>), the following five absolute and incremental fit measures were employed to evaluate the fitness of the data: (a) standardized root mean square residual (SRMR), (b) comparative fit index (CFI), (c) Tucker-Lewis Index (TLI), which is also called the non-normed fit index, (d) goodness of fit index (GFI), and (e) root mean square error of approximation (RMSEA). In general, the chi-square index is a statistically based measure of goodness-of-fit, and is very sensitive to sample size and violation of normality (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>; Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>). Given the sample size in the current study is considered large, it is very likely that the chi-square index will be significant (Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>; Fan et al., <xref ref-type="bibr" rid="B9">2018</xref>). As such, the chi-square index was not used as one of the model fit indices. For model fit, CFI, TLI, and GFI values need to be &#x0003E;0.95 while RMSEA and SRMR need to be &#x0003C;0.05 to be deemed acceptable. Moreover, structure coefficients should be &#x0003E;0.30 to be included in the factor (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>). More importantly, professional knowledge should also be used to assess the model fit when some of the fit indices are not within the acceptable range (Keating and Silverman, <xref ref-type="bibr" rid="B20">2004</xref>).</p>
<sec>
<title>Convergent and discriminant validity</title>
<p>CFA was also used to examine convergent and discriminant validity. Following the methods used in the study of Richards et al. (<xref ref-type="bibr" rid="B30">2017</xref>), the absolute value of factor loadings, composite reliability values (&#x003C1;<sub>c</sub>), and average variance extracted (AVE) scores were selected to assess convergent validity. The convergent validity is acceptable when (a) factor loadings are above 0.50 and significant (Brown, <xref ref-type="bibr" rid="B1">2006</xref>), (b) &#x003C1;<sub>c</sub> values are &#x02265;0.70 (Diamantopoulos and Siguaw, <xref ref-type="bibr" rid="B5">2000</xref>), and (c) AVE scores are larger than 0.50 (Fornell and Larcker, <xref ref-type="bibr" rid="B11">1981</xref>). Discriminant validity was tested using <inline-formula><mml:math id="M1"><mml:msqrt><mml:mrow><mml:mi>A</mml:mi><mml:mi>V</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:msqrt></mml:math></inline-formula>. Discriminant validity is acceptable if <inline-formula><mml:math id="M2"><mml:msqrt><mml:mrow><mml:mi>A</mml:mi><mml:mi>V</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:msqrt></mml:math></inline-formula> for each of the latent variables is higher than the correlations between the latent variables (Teo et al., <xref ref-type="bibr" rid="B39">2009</xref>).</p>
</sec>
</sec>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>Results</title>
<p>Because CFA using the entire sample, EFA using sample A, CFA and correlational analysis using sample B were sequentially completed, the results section was reported in the order in which it was finished. The results of EFA were taken into consideration when CFA was conducted. The correlational analysis was influenced by the CFA results (i.e., unfitted items were eliminated).</p>
<sec>
<title>Construct validity</title>
<sec>
<title>CFA with the entire sample</title>
<p>Although the fit indices based on the two-factor model were within the acceptable range (CFI = 0.97, GFI = 0.95, TLI = 0.95, RMSEA = 0.07, SRMR = 0.02), the correlation between the two factors was 0.92 (see <xref ref-type="fig" rid="F1">Figure 1</xref>), indicating multicollinearity and poor discriminant validity. Furthermore, the standardized regression weights of items V1, V8, and V25 were &#x0003C;0.50, suggesting insignificant contribution to their corresponding factor (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>; Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>). As such, it was deemed necessary to re-examine the structure of PMQ-PEC.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p>Two factors with eight items for CFA.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyg-13-982565-g0001.tif"/>
</fig>
</sec>
<sec>
<title>EFA using one of the sub-samples</title>
<p>The EFA results indicated there was only one item in the PE teacher matters (i.e., V21) with a factor loading smaller than 0.7 (see <xref ref-type="table" rid="T2">Table 2</xref>). The total variance explained was 66.5%. There was only one eigenvalue &#x0003E;1. When forced to have two factors using EFA, no clear structure was identified.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p>Factors and items in PMQ-PEC and factor loadings of EFA using sample A.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Factors</bold></th>
<th valign="top" align="left"><bold>Item No</bold>.</th>
<th valign="top" align="left"><bold>Items</bold></th>
<th valign="top" align="center"><bold>Factor loading</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">PE matters</td>
<td valign="top" align="left">V1</td>
<td valign="top" align="left">How interested are other people, generally, in physical education at your school?</td>
<td valign="top" align="center">0.83</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V12</td>
<td valign="top" align="left">How much attention do you feel other people pay to physical education at your school?</td>
<td valign="top" align="center">0.84</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V4</td>
<td valign="top" align="left">How important do you feel physical education is to other people at school?</td>
<td valign="top" align="center">0.85</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V8</td>
<td valign="top" align="left">How much do you feel other people at school would miss physical education if it went away?</td>
<td valign="top" align="center">0.86</td>
</tr>
<tr>
<td valign="top" align="left">PE teacher matters</td>
<td valign="top" align="left">V20</td>
<td valign="top" align="left">How important do you feel you are to other people at school?</td>
<td valign="top" align="center">0.86</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V25</td>
<td valign="top" align="left">How interested are other people, generally, in what you have to say at school?</td>
<td valign="top" align="center">0.86</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V14</td>
<td valign="top" align="left">How much attention do you feel other people pay to you at school?</td>
<td valign="top" align="center">0.89</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V21</td>
<td valign="top" align="left">How much do you feel other people at school would miss you if you went away?</td>
<td valign="top" align="center">0.43</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec>
<title>CFA using the other sub-sample with two different models</title>
<p>CFA was run using one factor with eight items. The indices for model fit were within the acceptable range (CFI = 0.99, GFI = 0.96, TLI = 0.96, RMSEA = 0.06, SRMR = 0.03). However, the coefficients (i.e., standardized regression weights) for three items (i.e., V1, V8, and V25) were still &#x0003C;0.50. As such, the three items were deleted.</p>
<p>The model fit with the remaining five items revolved on one factor was examined using CFA again. All coefficients were &#x0003E;0.5, indicating that the items were all reasonably robust as good indicators of the underlying factors (Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>). Most of the fit indices were acceptable (CFI = 0.97, GFI = 0.97, TLI = 0.95, SRMR = 0.02) except RMSEA, which was &#x0003E;0.05 (RMSEA = 0.11) (see <xref ref-type="fig" rid="F2">Figure 2</xref>). Cronbach&#x00027;s alpha was calculated with the five items and it was acceptable (alpha = 0.88). Taken together, the data were a good fit to the model (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>CFA model of one factor with 5 items.</p></caption>
<graphic mimetype="image" mime-subtype="tiff" xlink:href="fpsyg-13-982565-g0002.tif"/>
</fig>
</sec>
</sec>
<sec>
<title>Convergent, discriminant validity, and correlational analysis</title>
<p>As noted earlier, convergent validity is assessed in the following three ways: (a) factor loadings, (b) &#x003C1;<sub>c</sub> values, and (c) AVE scores. The final model had all factor loadings &#x0003E;0.5 (see <xref ref-type="table" rid="T3">Table 3</xref>). &#x003C1;<sub>c</sub> value was 0.90, which was greater than the cut-off value (0.70) and AVE score was 0.64 while the acceptable value is 0.50. Discriminant validity was explored using <inline-formula><mml:math id="M3"><mml:msqrt><mml:mrow><mml:mi>A</mml:mi><mml:mi>V</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:msqrt></mml:math></inline-formula>. The value of <inline-formula><mml:math id="M4"><mml:msqrt><mml:mrow><mml:mi>A</mml:mi><mml:mi>V</mml:mi><mml:mi>E</mml:mi></mml:mrow></mml:msqrt></mml:math></inline-formula> was 0.80 while the correlation between PMQ-PEC, role stressors, and resilience was 0.36 (<italic>p</italic> &#x0003C; 0.001), and 0.14 (<italic>p</italic> &#x0003C; 0.001), respectively.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p>The modified PMQ-PEC and factor loadings of the one-factor CFA using sample B.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left"><bold>Factors</bold></th>
<th valign="top" align="left"><bold>Item No</bold>.</th>
<th valign="top" align="left"><bold>Items</bold></th>
<th valign="top" align="center"><bold>Factor loading</bold></th>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Mattering</td>
<td valign="top" align="left">V4</td>
<td valign="top" align="left">How interested are other people, generally, in physical education at your school?</td>
<td valign="top" align="center">0.83</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V12</td>
<td valign="top" align="left">How much attention do you feel other people pay to physical education at your school?</td>
<td valign="top" align="center">0.86</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V14</td>
<td valign="top" align="left">How important do you feel physical education is to other people at school?</td>
<td valign="top" align="center">0.92</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V20</td>
<td valign="top" align="left">How much do you feel other people at school would miss physical education if it went away?</td>
<td valign="top" align="center">0.88</td>
</tr>
<tr>
<td/>
<td valign="top" align="left">V21</td>
<td valign="top" align="left">How much do you feel other people at school would miss you if you went away?</td>
<td valign="top" align="center">0.50</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s4">
<title>Discussion and conclusions</title>
<p>It has been well-documented that PE as a subject matter in schools has been marginalized worldwide (Whipp et al., <xref ref-type="bibr" rid="B41">2007</xref>; Richards et al., <xref ref-type="bibr" rid="B32">2018b</xref>; O&#x00027;Halloran and Moynihan, <xref ref-type="bibr" rid="B29">2020</xref>; Spicer and Robinson, <xref ref-type="bibr" rid="B38">2021</xref>) and PE teachers did not receive the respect they deserved (Whipp et al., <xref ref-type="bibr" rid="B41">2007</xref>), even though researchers suggested that PE programs have the potential to help students adopt a healthy lifestyle (McKenzie and Sallis, <xref ref-type="bibr" rid="B26">1991</xref>; Dollman et al., <xref ref-type="bibr" rid="B6">2006</xref>; Sallis et al., <xref ref-type="bibr" rid="B36">2012</xref>). This situation hinders our endeavor to combat childhood obesity and illnesses caused by sedentary lifestyles. As suggested in the literature, more efforts are needed to improve the quality of PE and increase the status of PE in schools (McKenzie and Lounsbery, <xref ref-type="bibr" rid="B25">2014</xref>).</p>
<p>Although many factors may have contributed to the marginalization of PE, the lack of valid and reliable instruments measuring PE teachers&#x00027; perceived mattering certainly did not help us combat marginalization. More alarmingly, while marginalization occurs globally, no studies have examined PE teachers&#x00027; perceptions of mattering from an international perceptive. The current study filled in the above gap in the literature and provided a means for quantitatively investigating this matter in different countries to shed new light on reducing marginalization. More studies on the reliability and validity of the PMQ-PE in different countries are needed in the future so that our confidence in measuring the perceived mattering of PE teachers across nations would be increased.</p>
<sec>
<title>The ratio of sample size to the item number</title>
<p>Although the rule of thumb for the ratio of sample size to the number of items in a questionnaire is usually 5:1, and no samples are completely reflective of the population (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>), the larger the ratio the better the study is in general (Keating et al., <xref ref-type="bibr" rid="B18">2008</xref>; Fan et al., <xref ref-type="bibr" rid="B9">2018</xref>). The ratio of the sample size to the item number was about 158:1. As such, the sample size used in the current study was deemed sufficient.</p>
</sec>
<sec>
<title>Modifications that may improve the validity and reliability of PMQ-PEC</title>
<p>According to Richards et al. (<xref ref-type="bibr" rid="B30">2017</xref>), PMQ-PE was valid and reliable using a sample of in-service PE teachers in the US. However, PMQ-PEC did not show acceptable construct validity given that the two factors were strongly correlated (<italic>r</italic> = 0.92) and the factor loadings for three items were smaller than 0.5. Therefore, modifications were made to improve the model fit. As a result, there was only one factor with five items in the final version of PMQ-PEC. This result may be associated with the cultural difference between the US and China. The subject matter of PE in schools may be strongly connected to PE teachers in China while the two are viewed separately in the US. Unfortunately, to the best of our knowledge, no empirical data are available to confirm the above contention. More studies on the topic are needed in the future.</p>
<p>The elimination of three unfitted items may also suggest that only the two dimensions (i.e., attention and importance) would affect the perceived mattering among Chinese PE teachers. The other two dimensions (i.e., dependence and ego-extension) may not apply to the Chinese population. The reason may be that Chinese PE teachers are seldom asked to take important roles in their school affairs, leaving few opportunities for them to have many interactions with other personnel in schools. As such, they are less likely to perceive dependence and ego-extension. Of more importance, many PE teachers are coaches while after-school sport programs play an important role in the US (Eyler et al., <xref ref-type="bibr" rid="B8">2019</xref>; Hodges et al., <xref ref-type="bibr" rid="B15">2021</xref>). However, sports do not have the same role as that in the Chinese educational system, contributing less to the development of schools in China. Therefore, the dimensions of dependence and ego-extension may not be applicable to the Chinese PE teachers. Overall, the modifications resulted in shortening the length of the questionnaire, providing more advantages to recruit more participants considering that shorter surveys tend to generate a larger sample size (Groves et al., <xref ref-type="bibr" rid="B14">2011</xref>). Not only does the modified version of PMQ-PEC fit in the Chinese sample, but it also saves more time in completing the survey.</p>
</sec>
<sec>
<title>Convergent and discriminant validity</title>
<p>While the assessment method for convergent validity was the same as that used by Richards and colleagues, the discriminant validity was tested differently (Richards et al., <xref ref-type="bibr" rid="B30">2017</xref>) because only one factor was included in PMQ-PEC. As a result, it is inappropriate to compare the results found in the current study to those reported by Richards et al. (<xref ref-type="bibr" rid="B30">2017</xref>). Future studies should focus on the examination of the discriminant validity of PMQ-PEC.</p>
<p>Therefore, the final version of PMQ-PEC was deemed that there was a good fit of the data by CFA because the GFI, TLI, SRMR, and CFI were within the acceptable range. The RMSEA was only slightly above the acceptable value. In addition, the factor loading for each item was &#x0003E;0.50, indicating that all remaining items were robust indicators of the factor they were targeted to measure (Meyers et al., <xref ref-type="bibr" rid="B27">2017</xref>). The Cronbach&#x00027;s alpha was &#x0003E;0.8, which was within the acceptable range.</p>
</sec>
</sec>
<sec id="s5">
<title>Limitation</title>
<p>It is important to point out that all data collection was completed online. It is unknown if such a data collection method could have any effects on the validation of PMQ-PEC. Future research should compare the reliability and validity of survey using the data collected in person with the paper-pencil version of the survey.</p>
</sec>
<sec id="s6">
<title>Conclusions and implications for future research</title>
<p>Instead of having two factors and eight items, the modified PMQ-PEC consists of one factor with five items that measure one&#x00027;s perceived mattering of PE and PE teachers. Construct validity, convergent validity, discriminant validity, and reliability were established based on CFA results, AVE and &#x003C1;<sub>c</sub> values, and correlational analysis results.</p>
<p>The availability of a valid and reliable measure of PMQ-PEC will allow researchers to investigate important issues concerning the perceived mattering of PE and PE teachers. Furthermore, by calculating the average score of the questionnaire, international comparison studies on the topic may be conducted to shed new light on the shared and unique causes of marginalization of PE between schools in US and China. More research using representative samples is needed in the future to further examine the reliability and validity of the scores generated by PMQ-PEC.</p>
</sec>
<sec sec-type="data-availability" id="s7">
<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 id="s8">
<title>Ethics statement</title>
<p>Ethical review and approval was not required for the study on human participants in accordance with the local legislation and institutional requirements. Written informed consent for participation was not required for this study in accordance with the national legislation and the institutional requirements.</p>
</sec>
<sec id="s9">
<title>Author contributions</title>
<p>XZ took the main responsibility for the research design, data collection, and structured the method part of the manuscript. JL and XL were mainly responsible for data analyses, result interpretation, and looking for updated literature. XH participated in the literature search and provided her expertise in the data analyses. JG and DB mainly contributed to the manuscript preparation, revision in terms of results, and discussion. RS was responsible for coordinating the project, participated in data collection, and writing the discussion. All authors contributed to the article and approved the final version.</p>
</sec>
<sec sec-type="COI-statement" id="conf1">
<title>Conflict of interest</title>
<p>The 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 sec-type="disclaimer" id="s11">
<title>Publisher&#x00027;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>
</body>
<back>
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