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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>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/feduc.2017.00017</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>A School-Based Measure of Culturally Responsive Practices</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Asil</surname> <given-names>Mustafa</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
<xref ref-type="corresp" rid="cor1">&#x0002A;</xref>
<uri xlink:href="http://frontiersin.org/people/u/388952"/>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>Educational Assessment Research Unit, College of Education, University of Otago</institution>, <addr-line>Dunedin</addr-line>, <country>New Zealand</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Anastasiya A. Lipnevich, The City University of New York, USA</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Chad W. Buckendahl, ACS Ventures LLC, USA; Jeffrey K. Smith, University of Otago, New Zealand</p></fn>
<corresp content-type="corresp" id="cor1">&#x0002A;Correspondence: Mustafa Asil, <email>mustafa.asil&#x00040;otago.ac.nz</email></corresp>
<fn fn-type="other" id="fn002"><p>Specialty section: This article was submitted to Assessment, Testing and Applied Measurement, a section of the journal Frontiers in Education</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>17</day>
<month>05</month>
<year>2017</year>
</pub-date>
<pub-date pub-type="collection">
<year>2017</year>
</pub-date>
<volume>2</volume>
<elocation-id>17</elocation-id>
<history>
<date date-type="received">
<day>06</day>
<month>02</month>
<year>2017</year>
</date>
<date date-type="accepted">
<day>26</day>
<month>04</month>
<year>2017</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2017 Asil.</copyright-statement>
<copyright-year>2017</copyright-year>
<copyright-holder>Asil</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) or licensor 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 address a gap in current research on cultural responsiveness by introducing the Culturally Responsive Practices for M&#x00101;ori Scale (CRPMS), a self-report instrument designed to measure schools&#x02019; culturally responsive practices in relation to M&#x00101;ori students. Within this paper, the development and analysis of the factorial structure and psychometric properties of the CRPMS are presented. The validity evidence findings from this study supported the utility of the CRPMS as a measure of cultural responsiveness for mainstream English-speaking New Zealand schools. Potential uses and applications of the CRPMS by researchers and educational stakeholders are discussed.</p>
</abstract>
<kwd-group>
<kwd>education for M&#x00101;ori</kwd>
<kwd>cultural responsiveness</kwd>
<kwd>diversity</kwd>
<kwd>equity</kwd>
<kwd>inclusiveness</kwd>
</kwd-group>
<counts>
<fig-count count="0"/>
<table-count count="5"/>
<equation-count count="0"/>
<ref-count count="54"/>
<page-count count="8"/>
<word-count count="6177"/>
</counts>
</article-meta>
</front>
<body>
<sec id="S1" sec-type="introduction">
<title>Introduction</title>
<p>The latest national and international assessment results [National Education Monitoring Project, National Monitoring Study of Student Achievement (NMSSA), Trends in International Mathematics and Science Study, Programme for International Student Assessment] have identified New Zealand (NZ) as having one of the widest spread of achievement among students within schools rather than between schools. M&#x00101;ori students in New Zealand have been identified by the Ministry of Education as a &#x0201C;priority learner group&#x0201D; because they have lower achievement outcomes, are more likely to leave school earlier without formal qualifications, and are less likely to be identified as being gifted and talented than their majority ethnic counterparts (Macfarlane, <xref ref-type="bibr" rid="B33">2004</xref>; Bishop et al., <xref ref-type="bibr" rid="B4">2007</xref>, <xref ref-type="bibr" rid="B5">2009</xref>; Marie et al., <xref ref-type="bibr" rid="B34">2008</xref>; Savage et al., <xref ref-type="bibr" rid="B46">2014</xref>). To address these disparities, which are reflected at all levels of the education system, the Ministry of Education has embarked on creating culturally responsive learning environments to raise M&#x00101;ori student success.</p>
<p>The culturally responsive learning environments are an integral part of the New Zealand Curriculum (NZC) and is detailed and operationalized in various policies, publications, and initiatives, such as Ka Hikitia&#x02014;Accelerating Success 2013&#x02013;2017 (Ministry of Education, <xref ref-type="bibr" rid="B39">2013</xref>), Te Kotahitanga (Bishop et al., <xref ref-type="bibr" rid="B5">2009</xref>), Practising Teacher Criteria (Education Council New Zealand, <xref ref-type="bibr" rid="B12">2015</xref>), T&#x00101;taiako: cultural Competencies for Teachers of M&#x00101;ori Learners (Ministry of Education, <xref ref-type="bibr" rid="B36">2011</xref>), He K&#x00101;kano (University of Waikato and Te Whare W&#x00101;nanga o Awanui&#x00101;rangi, <xref ref-type="bibr" rid="B52">2010</xref>), Pasifika Education Plan (Ministry of Education, <xref ref-type="bibr" rid="B37">2012a</xref>), and success for all: every school, every child (Ministry of Education, <xref ref-type="bibr" rid="B38">2012b</xref>).</p>
<p>Previous research (Gay, <xref ref-type="bibr" rid="B23">2000</xref>; Bishop et al., <xref ref-type="bibr" rid="B4">2007</xref>, <xref ref-type="bibr" rid="B5">2009</xref>; Macfarlane et al., <xref ref-type="bibr" rid="B32">2007</xref>; Education Review Office, <xref ref-type="bibr" rid="B13">2010</xref>; Meyer et al., <xref ref-type="bibr" rid="B35">2010</xref>; Aronson and Laughter, <xref ref-type="bibr" rid="B3">2016</xref>) has demonstrated that all students, and not only indigenous students, benefit from and perform better in culturally responsive educational settings. However, the achievement gap between M&#x00101;ori and non-M&#x00101;ori students has remained large to date (Controller and Auditor-General, <xref ref-type="bibr" rid="B10">2016</xref>). In their study, Meyer et al. (<xref ref-type="bibr" rid="B35">2010</xref>), p. 21, argued that &#x0201C;there was considerable variability in the cultural responsiveness of schools, from being highly responsive to things M&#x00101;ori to minimal evidence of awareness of M&#x00101;ori students&#x02019; cultural backgrounds and experiences at the school level.&#x0201D;</p>
<sec id="S1-1">
<title>Cultural Responsiveness and the New Zealand Context</title>
<p>Today&#x02019;s schools are becoming increasingly diverse with regard to culture, language, ethnicity, religion, and socioeconomic status. Consequently, schools are challenged with providing an effective learning environment for every student in response to an increasingly diverse and multicultural student population. Culturally relevant pedagogy (Ladson-Billings, <xref ref-type="bibr" rid="B29">1995</xref>), culturally responsive teaching (Gay, <xref ref-type="bibr" rid="B23">2000</xref>), or culturally sustaining pedagogy (Paris, <xref ref-type="bibr" rid="B44">2012</xref>) are some of the terms or concepts that appear in the education literature to emphasize collective empowerment and social justice (Aronson and Laughter, <xref ref-type="bibr" rid="B3">2016</xref>) fostering and promoting educational equity and excellence in schools through cultural diversity.</p>
<p>Gay (<xref ref-type="bibr" rid="B23">2000</xref>), p. 29, defined culturally responsive teaching as &#x0201C;using the cultural knowledge, prior experiences, frames of reference, and performance styles of ethnically diverse students to make learning encounters more relevant and effective for them.&#x0201D; She further notes that &#x0201C;being culturally responsive is more than being respectful, empathetic, or sensitive&#x0201D; (p. 3).</p>
<p>According to Gay (<xref ref-type="bibr" rid="B24">2013</xref>), successful implementation of culturally responsive teaching requires: eradicating the deficit view of students and communities; expecting, understanding, and resisting the opposition to culturally responsive teaching; teachers&#x02019; understanding how and why culture and difference are essential ideologies and foundations; and establishing pedagogical connections between culturally responsive teaching and specific subjects and skills taught in schools. The ability of principals and teachers to engage in cultural responsiveness requires that they have a certain degree of cultural competence themselves as well (Castagno and Brayboy, <xref ref-type="bibr" rid="B7">2008</xref>).</p>
<p>Like New Zealand, many Western educational systems continue to result in poorer learning outcomes for indigenous, minority, or vulnerable students. However, there are countries such as Japan and some Nordic countries that have more equitable learning outcomes than others (Pickett and Wilkinson, <xref ref-type="bibr" rid="B45">2009</xref>), which indicate that it is achievable.</p>
<p>Schools need to provide high-quality teaching for heterogeneous groups of students (Alton-Lee, <xref ref-type="bibr" rid="B2">2003</xref>). There is an increasing recognition of the importance of cultural responsiveness and its influence on student outcomes.</p>
<p>Although the Ministry of Education is continuing to build a culturally responsive education system where all children can progress and achieve to their very best, M&#x00101;ori and non-M&#x00101;ori disparity in learning outcomes persists [Organisation for Economic Co-operation and Development (OECD, <xref ref-type="bibr" rid="B42">2010</xref>, <xref ref-type="bibr" rid="B43">2013</xref>); Cavanagh et al., <xref ref-type="bibr" rid="B8">2012</xref>; Educational Assessment Research Unit and New Zealand Council for Educational Research, <xref ref-type="bibr" rid="B14">2013a</xref>,<xref ref-type="bibr" rid="B15">b</xref>, <xref ref-type="bibr" rid="B16">2014a</xref>,<xref ref-type="bibr" rid="B17">b</xref>, <xref ref-type="bibr" rid="B18">2015a</xref>,<xref ref-type="bibr" rid="B19">b</xref>]. In this regard, a closer examination of New Zealand schools&#x02019; culturally responsive practices is vital to address this achievement disparity and M&#x00101;ori people&#x02019;s concerns about current pedagogic practices in mainstream schools.</p>
</sec>
<sec id="S1-2">
<title>National Monitoring Study of Student Achievement (NMSSA)</title>
<p>As part of gaining an understanding of schools&#x02019; cultural responsiveness and its association with the achievement of priority learner groups, the NMSSA: W&#x00101;nangatia Te Putanga Tauira developed a new self-report inventory, the Culturally Responsive Practices for M&#x00101;ori Scale (CRPMS), drawing on the educultural wheel (Macfarlane, <xref ref-type="bibr" rid="B33">2004</xref>).</p>
<p>National Monitoring Study of Student Achievement is a collaboration between the Educational Assessment Research Unit at the University of Otago, the New Zealand Council for Educational Research, and the Ministry of Education. This program has been operating since 2012 with a 5-year cycle. NMSSA is sample based monitoring project designed to assess and understand student achievement at year 4 and year 8 in New Zealand primary schools.</p>
<p>A nationally representative sample of approximately 5,000 students in 200 schools are randomly selected across year 4 and year 8 each year to take part in NMSSA. Assessments are administered by experienced and trained teacher assessors. NMSSA uses complementary forms of assessments: group administered paper and pencil or computer-based assessments and in-depth interviews and performance assessments.</p>
<p>To help understand factors that are related to student achievement, contextual information is collected <italic>via</italic> student, teacher, and principal questionnaires. Approximately 600 teachers and 200 principals from participating schools are invited to respond to teacher and principal questionnaires, respectively. NMSSA has a responsibility to focus on three priority learner groups: M&#x00101;ori students, Pasifika students, and students with special education needs (Allan, <xref ref-type="bibr" rid="B1">2012</xref>).</p>
<p>Most of the New Zealand research related to cultural responsiveness is qualitative in nature and uses checklists and case studies [e.g., Education Review Office (ERO)&#x02019;s school evaluation indicators]. No psychometric instrument has been developed to specifically assess cultural responsiveness of schools at a national level. Therefore, a new self-report inventory, CRPMS, was developed as part of the NMSSA project.</p>
<p>A review of the related research literature revealed that only a few instruments have been developed specifically to measure cultural responsiveness, including Siwatu&#x02019;s (Siwatu, <xref ref-type="bibr" rid="B48">2007</xref>) Culturally Responsive Teaching Self-Efficacy and Culturally Responsive Teaching Outcome Expectancy scales. However, these measures and most of the others elicit information from teachers regarding their beliefs or expectations rather than their practices.</p>
<p>The purpose of the study reported in this paper is to present the development and analysis of the factorial structure and psychometric properties of the CRPMS designed to measure and understand schools&#x02019; cultural responsiveness practices in relation to M&#x00101;ori.</p>
</sec>
<sec id="S1-3">
<title>Theoretical Background</title>
<p>The theoretical framework for the development of CRPMS was grounded within the educultural wheel proposed by Macfarlane (<xref ref-type="bibr" rid="B33">2004</xref>) and guided by Ka Hikitia&#x02014;Accelerating Success 2013&#x02013;2017 (Ministry of Education, <xref ref-type="bibr" rid="B33">2013</xref>).</p>
<p>Macfarlane&#x02019;s (<xref ref-type="bibr" rid="B33">2004</xref>) educultural wheel framework was designed to support the development of positive interactions between teachers and M&#x00101;ori students. It consists of five interrelated concepts (or factors) that encompass key aspects of culturally responsive educational settings. These concepts include: Whanaungatanga (building relationships), Manaakitanga (ethic of caring), Rangatiratanga (teacher effectiveness), Kotahitanga (ethic of bonding), and Pumanawatanga (school morale, tone, pulse). Bishop et al. (<xref ref-type="bibr" rid="B4">2007</xref>) are consistent with Macfarlane&#x02019;s (<xref ref-type="bibr" rid="B33">2004</xref>) model in identifying Manaakitanga and Kotahitanga for improving learning outcomes for M&#x00101;ori learners. According to Macfarlane (<xref ref-type="bibr" rid="B33">2004</xref>), p.64, &#x0201C;these concepts do not exist in isolation from each other&#x02014;more often than not, they coexist or are amalgamated. Since M&#x00101;ori insist on wholeness, this is quite natural.&#x0201D;</p>
<p>According to Macfarlane (<xref ref-type="bibr" rid="B33">2004</xref>), whanaungatanga is about building relationships with students, parents, and the community. It refers to the extent to which the school generates opportunities to build mutual respect within their school community. Manaakitanga is the extent to which the school demonstrates a &#x0201C;duty of care&#x0201D; based on kindness and respect. It is not optional but obligatory. Rangatiratanga is about developing teachers&#x02019; skills and knowledge in order to develop the mana (integrity and dignity) of M&#x00101;ori students. Kotahitanga refers to the extent to which the school has developed practices and approaches to build a sense of unity and inclusiveness that support a culturally safe environment. Pumanawatanga is in the center of the model and represents whether the school has developed an infrastructure of care and support for students and teachers that is consistent with other four concepts.</p>
<p>Ka Hikitia&#x02013;Accelerating Success 2013&#x02013;2017 (Ministry of Education, <xref ref-type="bibr" rid="B39">2013</xref>, p. 9) is the government&#x02019;s strategy &#x0201C;to rapidly change how education performs so that all M&#x00101;ori students gain the skills, qualifications, and knowledge they need to succeed and to be proud in knowing who they are as M&#x00101;ori.&#x0201D; Ka Hikitia provides an educational framework, which guides all educational stakeholders to enable M&#x00101;ori students reach their full potential.</p>
<p>This study aimed to address a gap in current research on cultural responsiveness by introducing the CRPMS, a self-report instrument designed to measure schools&#x02019; culturally responsive practices in relation to M&#x00101;ori students. A practical contribution of this study is to develop a useful analytical tool to inform educators and researchers on whether schools are effectively responding to the specific learning and cultural needs of M&#x00101;ori learners. Such information will be invaluable for education stakeholders and will also be able to contribute to the current debate on whether M&#x00101;ori students achieve better in schools that are more culturally responsive.</p>
</sec>
</sec>
<sec id="S2" sec-type="materials|methods">
<title>Materials and Methods</title>
<sec id="S2-1">
<title>Item Generation</title>
<p>The process of item generation began by reviewing the literature and empirical studies that discussed models and indicators of cultural responsiveness. To generate the initial set of items for the CRPMS, the NMSSA team worked with three local principals and discussed the nature of cultural responsiveness and current practices at their schools. At this meeting, a total of 34 Likert-type items were crafted under the five concepts. It is important to note here that all the items are about schools&#x02019; <italic>practices</italic> rather than principals&#x02019; beliefs.</p>
<p>Following this, the team took this draft to the NMSSA M&#x00101;ori reference group, which is a group of about 10 M&#x00101;ori educationalists from New Zealand including teachers, principals, ministry officials, advisors, and academic researchers who are leading figures in M&#x00101;ori education. The reference group members discussed and re-shaped the items within each concept quite substantially to ensure that the concepts and items validly represented the construct of culturally responsive practices for M&#x00101;ori students. To ensure that the items would be understood by the potential respondents (principals), the revised version was reviewed once again by the M&#x00101;ori reference group and Ministry of Education officials. Then the revised version was piloted with principals from a range of schools. At the end of this process, 27 items were retained for the final version and were measured on a 4-point scale with response options of 1&#x02009;&#x0003D;&#x02009;not at all like our school, 2&#x02009;&#x0003D;&#x02009;a little like our school, 3&#x02009;&#x0003D;&#x02009;moderately like our school, and 4&#x02009;&#x0003D;&#x02009;very like our school. These 27 items were hypothesized to load on the above-mentioned five factors: Whanaungatanga, Manaakitanga, Rangatiratanga, Kotahitanga, and Pumanawatanga. The items in the CRPMS are shown in Table <xref ref-type="table" rid="TA1">A1</xref> in Appendix.</p>
</sec>
<sec id="S2-2">
<title>Development and Validation of the CRPMS</title>
<sec id="S2-2-1">
<title>Sample</title>
<p>Culturally Responsive Practices for M&#x00101;ori Scale items were presented to principals as part of the 2014 NMSSA principal questionnaire. Data were collected from a national sample of 199 school principals. However, 34 principals did not return a questionnaire and two principals did not respond to any of the CRPMS items. No systematic pattern was observed in the types of schools that these principals came from. Thus, responses from 163 schools (80 principals at year 4 and 83 at year 8) principals were used in this study. The distribution of these schools with regard to region and school decile was consistent with the national sample drawn for the 2014 study. The number of students attending these schools ranged from 70 to 1,361 with a mean of school size of 432. The percentage of M&#x00101;ori students in each school ranged from 3 to 97 percent with a mean of 22 percent.</p>
</sec>
<sec id="S2-2-2">
<title>Data Analysis</title>
<p>Data analysis was conducted in two stages. First, the pattern of missing data was investigated using Little&#x02019;s MCAR test (Little, <xref ref-type="bibr" rid="B30">1988</xref>) and the expectation maximization (EM) algorithm was used to impute missing cases. Second, the factorial structure of the CRPMS scale was assessed using confirmatory factor analysis (CFA) with robust weighted least squares mean and variance adjusted (WLSMV) estimation method. WLSMV is a robust estimation method recommended for ordinal questionnaire data (Flora and Curran, <xref ref-type="bibr" rid="B22">2004</xref>).</p>
<p>As suggested by Noar (<xref ref-type="bibr" rid="B41">2003</xref>), several models were examined to compare differing conceptualizations of the factor structure. These included: (a) a null model (model 1) that assumed all of CRPMS factors are unrelated, (b) a one-factor model (model 2) that tested whether CRPMS measured one factor rather than five factors, and (c) a correlated factor model (model 3) that tested whether the five factors of CRPMS are related to one another. Support for model 2 would suggest that the respondents do not differentiate between the cultural responsiveness factors. That is, what is being measured is a unidimensional construct. Support for model 3 would suggest that respondents discriminate between the five factors but the factors are related to each other.</p>
<p>Goodness-of-model fit was assessed using a number of different indices (Cheung and Rensvold, <xref ref-type="bibr" rid="B9">2002</xref>; Fan and Sivo, <xref ref-type="bibr" rid="B20">2005</xref>, <xref ref-type="bibr" rid="B21">2007</xref>) to reflect different aspects of model fit as not all of them are stable under various model conditions. The indices used and their commonly accepted standards of &#x0201C;acceptable&#x0201D; and/or &#x0201C;good&#x0201D; fit included:
<list list-type="bullet">
<list-item><p>Due to the sensitivity of &#x003C7;<sup>2</sup> to sample size (Hu and Bentler, <xref ref-type="bibr" rid="B27">1998</xref>), the ratio of &#x003C7;<sup>2</sup> to its degrees of freedom (&#x003C7;<sup>2</sup>/df) with values less than 3 being indicative of an acceptable fit (Carmines and Mclver, <xref ref-type="bibr" rid="B6">1981</xref>).</p></list-item>
<list-item><p>Root mean square error of approximation (RMSEA) with values less than 0.08 (acceptable) or 0.05 (good).</p></list-item>
<list-item><p>Comparative fit index (CFI) and Tucker&#x02013;Lewis index (TLI) with values greater than 0.90 (acceptable) or 0.95 (good) (Hu and Bentler, <xref ref-type="bibr" rid="B27">1998</xref>; Hair et al., <xref ref-type="bibr" rid="B25">2010</xref>).</p></list-item>
<list-item><p>Weighted root mean square residual (WRMR) with acceptable values being close to 1 (Yu, <xref ref-type="bibr" rid="B54">2002</xref>).</p></list-item>
</list></p>
</sec>
</sec>
</sec>
<sec id="S3">
<title>Results</title>
<sec id="S3-1">
<title>Descriptive Statistics</title>
<p>The proportion of overall missing data was 2.04 percent. Little&#x02019;s MCAR test results for each factor suggested that the data were missing completely at random (<italic>p</italic>&#x02009;&#x0003E;&#x02009;0.05), which supported the use of EM imputation. The descriptive statistics are presented in Table <xref ref-type="table" rid="T1">1</xref>. The mean scores for all items ranged from 2.40 to 3.84, suggesting that most principals indicated that the statements, on average, were &#x0201C;moderately like our school.&#x0201D; The SDs ranged from 0.40 to 1.15. The lowest mean score was observed for the Rangatiratanga statements (teacher effectiveness) whereas the highest mean score was for the Whanaungatanga statements (building relationships). Examination of the means for each concept indicated that schools had different perceptions of their culturally responsive practices. For example, the mean of teacher effectiveness concept ranged from 1 (not at all like our school) to 4 (very like our school).</p>
<table-wrap position="float" id="T1">
<label>Table 1</label>
<caption><p><bold>Descriptive statistics for culturally responsive practices for M&#x00101;ori scale items</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="center" rowspan="2"/>
<th valign="top" align="center" rowspan="2"/>
<th valign="top" align="center" colspan="2">Item<hr/></th>
<th valign="top" align="center" colspan="4">Factor<hr/></th>
</tr><tr>
<th valign="top" align="center">M</th>
<th valign="top" align="center">SD</th>
<th valign="top" align="center">M</th>
<th valign="top" align="center">SD</th>
<th valign="top" align="center">Min</th>
<th valign="top" align="center">Max</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top" colspan="3">Pumanawatanga (P)</td>
<td align="center" valign="top">3.19</td>
<td align="center" valign="top">0.51</td>
<td align="center" valign="top">1.80</td>
<td align="center" valign="top">4.00</td>
</tr>
<tr>
<td align="left" valign="top">P1</td>
<td align="center" valign="top">3.55</td>
<td align="center" valign="top">0.63</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P2</td>
<td align="center" valign="top">3.37</td>
<td align="center" valign="top">0.80</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P3</td>
<td align="center" valign="top">3.42</td>
<td align="center" valign="top">0.68</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P4</td>
<td align="center" valign="top">2.56</td>
<td align="center" valign="top">0.92</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P5</td>
<td align="center" valign="top">3.03</td>
<td align="center" valign="top">0.93</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Kotahitanga (K)</td>
<td align="center" valign="top">3.14</td>
<td align="center" valign="top">0.56</td>
<td align="center" valign="top">1.17</td>
<td align="center" valign="top">4.00</td>
</tr>
<tr>
<td align="left" valign="top">K1</td>
<td align="center" valign="top">3.15</td>
<td align="center" valign="top">0.81</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K2</td>
<td align="center" valign="top">3.25</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K3</td>
<td align="center" valign="top">3.75</td>
<td align="center" valign="top">0.66</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K4</td>
<td align="center" valign="top">2.88</td>
<td align="center" valign="top">0.78</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K5</td>
<td align="center" valign="top">2.48</td>
<td align="center" valign="top">1.15</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K6</td>
<td align="center" valign="top">3.33</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Whanaungatanga (W)</td>
<td align="center" valign="top">3.53</td>
<td align="center" valign="top">0.41</td>
<td align="center" valign="top">2.20</td>
<td align="center" valign="top">4.00</td>
</tr>
<tr>
<td align="left" valign="top">W1</td>
<td align="center" valign="top">3.75</td>
<td align="center" valign="top">0.48</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W2</td>
<td align="center" valign="top">3.23</td>
<td align="center" valign="top">0.74</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W3</td>
<td align="center" valign="top">3.24</td>
<td align="center" valign="top">0.74</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W4</td>
<td align="center" valign="top">3.84</td>
<td align="center" valign="top">0.40</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W5</td>
<td align="center" valign="top">3.62</td>
<td align="center" valign="top">0.58</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Manaakitanga (M)</td>
<td align="center" valign="top">3.24</td>
<td align="center" valign="top">0.51</td>
<td align="center" valign="top">1.50</td>
<td align="center" valign="top">4.00</td>
</tr>
<tr>
<td align="left" valign="top">M1</td>
<td align="center" valign="top">2.79</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">M2</td>
<td align="center" valign="top">3.63</td>
<td align="center" valign="top">0.62</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">M3</td>
<td align="center" valign="top">3.01</td>
<td align="center" valign="top">0.86</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">M4</td>
<td align="center" valign="top">3.54</td>
<td align="center" valign="top">0.73</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top" colspan="3">Rangatiratanga (R)</td>
<td align="center" valign="top">2.79</td>
<td align="center" valign="top">0.64</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">4.00</td>
</tr>
<tr>
<td align="left" valign="top">R1</td>
<td align="center" valign="top">3.36</td>
<td align="center" valign="top">0.70</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R2</td>
<td align="center" valign="top">2.90</td>
<td align="center" valign="top">1.11</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R3</td>
<td align="center" valign="top">3.13</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R4</td>
<td align="center" valign="top">2.40</td>
<td align="center" valign="top">1.04</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R5</td>
<td align="center" valign="top">2.79</td>
<td align="center" valign="top">0.93</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R6</td>
<td align="center" valign="top">2.47</td>
<td align="center" valign="top">0.93</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R7</td>
<td align="center" valign="top">2.49</td>
<td align="center" valign="top">0.96</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="S3-2">
<title>Confirmatory Factor Analysis</title>
<p>MPlus 7 (Muth&#x000E9;n and Muth&#x000E9;n, <xref ref-type="bibr" rid="B40">2012</xref>) was used for the CFA of each measurement model and the relationships between latent factors. The goodness-of-fit criteria of alternative models were examined. Table <xref ref-type="table" rid="T2">2</xref> presents the results of the model comparisons.</p>
<table-wrap position="float" id="T2">
<label>Table 2</label>
<caption><p><bold>Confirmatory factor analysis of alternative models</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left">Model</th>
<th valign="top" align="center">&#x003C7;<sup>2</sup></th>
<th valign="top" align="center">&#x003C7;<sup>2</sup>/df</th>
<th valign="top" align="center">RMSEA (90% CI)</th>
<th valign="top" align="center">CFI</th>
<th valign="top" align="center">TLI</th>
<th valign="top" align="center">WRMR</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Model 1 (null model)</td>
<td align="center" valign="top">1,942.56</td>
<td align="center" valign="top">5.99</td>
<td align="center" valign="top">0.18 (0.17, 0.18)</td>
<td align="center" valign="top">0.36</td>
<td align="center" valign="top">0.31</td>
<td align="center" valign="top">3.25</td>
</tr>
<tr>
<td align="left" valign="top">Model 2 (one-factor)</td>
<td align="center" valign="top">653.71</td>
<td align="center" valign="top">2.02</td>
<td align="center" valign="top">0.08 (0.07, 0.09)</td>
<td align="center" valign="top">0.87</td>
<td align="center" valign="top">0.86</td>
<td align="center" valign="top">1.25</td>
</tr>
<tr>
<td align="left" valign="top">Model 3 (five-factor correlated)</td>
<td align="center" valign="top">523.05</td>
<td align="center" valign="top">1.67</td>
<td align="center" valign="top">0.06 (0.05, 0.07)</td>
<td align="center" valign="top">0.92</td>
<td align="center" valign="top">0.91</td>
<td align="center" valign="top">1.06</td>
</tr>
</tbody>
</table>
<table-wrap-foot><p><italic>RMSEA, root mean square error of approximation; CFI, comparative fit index; TLI, Tucker&#x02013;Lewis Index; WRMR, weighted root mean square residual</italic>.</p></table-wrap-foot></table-wrap>
<p>The CFI, TLI, and WRMR values for model 1 and model 2 did not meet the acceptable fit criteria. Among alternative models tested, a measurement model consistent with Macfarlane&#x02019;s framework (model 3) provided adequate fit within the recommended values of goodness-of-fit criteria and was retained as the model of best fit. For this model, factor correlations are given in Table <xref ref-type="table" rid="T3">3</xref>.</p>
<table-wrap position="float" id="T3">
<label>Table 3</label>
<caption><p><bold>Culturally responsive practices for M&#x00101;ori scale factor correlations</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="center"/>
<th valign="top" align="center">P</th>
<th valign="top" align="center">K</th>
<th valign="top" align="center">W</th>
<th valign="top" align="center">M</th>
<th valign="top" align="center">R</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Pumanawatanga (P)</td>
<td align="center" valign="top">&#x02013;</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Kotahitanga (K)</td>
<td align="center" valign="top">0.90</td>
<td align="center" valign="top">&#x02013;</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Whanaungatanga (W)</td>
<td align="center" valign="top">0.53</td>
<td align="center" valign="top">0.52</td>
<td align="center" valign="top">&#x02013;</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Manaakitanga (M)</td>
<td align="center" valign="top">0.76</td>
<td align="center" valign="top">0.86</td>
<td align="center" valign="top">0.76</td>
<td align="center" valign="top">&#x02013;</td>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Rangatiratanga (R)</td>
<td align="center" valign="top">0.73</td>
<td align="center" valign="top">0.77</td>
<td align="center" valign="top">0.54</td>
<td align="center" valign="top">0.77</td>
<td align="center" valign="top">&#x02013;</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The correlations between CRPMS factors ranged from 0.52 to 0.90 indicating that the evidence for discriminant validity was not strong. However, the level of relationship amongst factors was consistent with Macfarlane&#x02019;s theory of &#x0201C;wholeness&#x0201D; appropriate for M&#x00101;ori cultural responsiveness. The highest correlations were found between Kotahitanga and Pumanawatanga, and Kotahitanga and Manaakitanga.</p>
<p>The unstandardized and standardized factor loadings and factor reliabilities are presented in Table <xref ref-type="table" rid="T4">4</xref>. The limitations and problems of coefficient alpha (Cronbach, <xref ref-type="bibr" rid="B11">1951</xref>) as a measure of reliability estimate is well established in the literature (Sijtsma, <xref ref-type="bibr" rid="B47">2009</xref>; Teo and Fan, <xref ref-type="bibr" rid="B51">2013</xref>), but this index is still widely used. Therefore, the greatest lower bound (glb) to reliability (Jackson and Agunwamba, <xref ref-type="bibr" rid="B28">1977</xref>; Woodhouse and Jackson, <xref ref-type="bibr" rid="B53">1977</xref>) was calculated and reported as a better estimate of reliability (Ten Berge and So&#x0010D;an, <xref ref-type="bibr" rid="B50">2004</xref>; Sijtsma, <xref ref-type="bibr" rid="B47">2009</xref>). Greatest lower bound estimates were computed by means of the FACTOR program (Lorenzo-Seva and Ferrando, <xref ref-type="bibr" rid="B31">2006</xref>), which can be downloaded from <uri xlink:href="http://psico.fcep.urv.es/utilitats/factor/Download.html">http://psico.fcep.urv.es/utilitats/factor/Download.html</uri>. Sijtsma (<xref ref-type="bibr" rid="B47">2009</xref>), however, states that alpha should also be used alongside glb as a better practice for reporting reliability (p. 118). This is the procedure followed in this study.</p>
<table-wrap position="float" id="T4">
<label>Table 4</label>
<caption><p><bold>Unstandardized and standardized factor loadings and reliabilities</bold>.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th valign="top" align="left">Item</th>
<th valign="top" align="center">Unstandardized estimate</th>
<th valign="top" align="center">Standardized estimate</th>
<th valign="top" align="center">Coefficient alpha</th>
<th valign="top" align="center">glb</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="top">Pumanawatanga (P)</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">0.68</td>
<td align="center" valign="top">0.74</td>
</tr>
<tr>
<td align="left" valign="top">P1</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">0.73</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P2</td>
<td align="center" valign="top">0.79</td>
<td align="center" valign="top">0.64</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P3</td>
<td align="center" valign="top">0.35</td>
<td align="center" valign="top">0.35</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P4</td>
<td align="center" valign="top">0.71</td>
<td align="center" valign="top">0.60</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P5</td>
<td align="center" valign="top">0.61</td>
<td align="center" valign="top">0.54</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Kotahitanga (K)</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">0.79</td>
<td align="center" valign="top">0.82</td>
</tr>
<tr>
<td align="left" valign="top">K1</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">0.80</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K2</td>
<td align="center" valign="top">0.73</td>
<td align="center" valign="top">0.69</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K3</td>
<td align="center" valign="top">0.42</td>
<td align="center" valign="top">0.49</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K4</td>
<td align="center" valign="top">1.13</td>
<td align="center" valign="top">0.83</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K5</td>
<td align="center" valign="top">0.45</td>
<td align="center" valign="top">0.51</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K6</td>
<td align="center" valign="top">0.72</td>
<td align="center" valign="top">0.69</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Whanaungatanga (W)</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">0.81</td>
<td align="center" valign="top">0.85</td>
</tr>
<tr>
<td align="left" valign="top">W1</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">0.46</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W2</td>
<td align="center" valign="top">3.24</td>
<td align="center" valign="top">0.86</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W3</td>
<td align="center" valign="top">1.42</td>
<td align="center" valign="top">0.59</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W4</td>
<td align="center" valign="top">2.15</td>
<td align="center" valign="top">0.75</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W5</td>
<td align="center" valign="top">2.12</td>
<td align="center" valign="top">0.74</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Manaakitanga (M)</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">0.68</td>
<td align="center" valign="top">0.72</td>
</tr>
<tr>
<td align="left" valign="top">M1</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">0.60</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">M2</td>
<td align="center" valign="top">1.36</td>
<td align="center" valign="top">0.72</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">M3</td>
<td align="center" valign="top">0.79</td>
<td align="center" valign="top">0.51</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">M4</td>
<td align="center" valign="top">1.20</td>
<td align="center" valign="top">0.67</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">Rangatiratanga (R)</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
<td align="center" valign="top">0.80</td>
<td align="center" valign="top">0.86</td>
</tr>
<tr>
<td align="left" valign="top">R1</td>
<td align="center" valign="top">1.00</td>
<td align="center" valign="top">0.65</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R2</td>
<td align="center" valign="top">0.99</td>
<td align="center" valign="top">0.65</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R3</td>
<td align="center" valign="top">0.93</td>
<td align="center" valign="top">0.63</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R4</td>
<td align="center" valign="top">0.69</td>
<td align="center" valign="top">0.51</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R5</td>
<td align="center" valign="top">1.16</td>
<td align="center" valign="top">0.71</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R6</td>
<td align="center" valign="top">2.04</td>
<td align="center" valign="top">0.87</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R7</td>
<td align="center" valign="top">1.98</td>
<td align="center" valign="top">0.86</td>
<td align="center" valign="top"/>
<td align="center" valign="top"/>
</tr>
</tbody>
</table>
<table-wrap-foot><p><italic>glb, greatest lower bound</italic>.</p></table-wrap-foot></table-wrap>
<p>All item parameter estimates were statistically significant at <italic>p</italic>&#x02009;&#x0003C;&#x02009;0.001 level. Factor loadings ranged from 0.35 to 0.86, which provided support for convergent validity evidence. Two of the coefficient alpha reliability estimates were slightly less than the recommended level (0.70) for instrument development. Given the small number of items for those factors; however, these values were considered acceptable. On the other hand, all glb estimates were greater than the 0.70 threshold. The CFA analyses, factor correlations, and reliabilities provided support for the factorial and construct validity evidence of the CRPMS.</p>
</sec>
</sec>
<sec id="S4">
<title>Discussion and Conclusion</title>
<p>The aim of this study was to provide validity evidence on the internal structure of the CRPMS self-report instrument designed by the NMSSA team to measure the degree to which New Zealand English-speaking primary schools were culturally responsive to M&#x00101;ori students. The present study adds to the culturally responsive education research literature specifically by providing empirical evidence <italic>via</italic> CFA supporting the factorial structure of the CRPMS comprising five factors: Whanaungatanga (building relationships), Manaakitanga (ethic of caring), Rangatiratanga (teacher effectiveness), Kotahitanga (ethic of bonding), and Pumanawatanga (school morale, tone, pulse). In general, the validity evidence findings from this study support the utility of CRPMS as a measure of cultural responsiveness for mainstream New Zealand schools.</p>
<p>In line with the previous findings of Meyer et al. (<xref ref-type="bibr" rid="B35">2010</xref>), we found that school principals had different perceptions/interpretations of their schools&#x02019; culturally responsive practices. The range of school means for CRPMS constructs indicated that there was some variability between schools with respect to cultural responsiveness practices. In general, however, the overall scale means revealed that most principals responded as either or &#x0201C;moderately like our school&#x0201D; or &#x0201C;very like our school.&#x0201D;</p>
<p>It is important to note that this is a bold project that spans a significant breadth of literature. What becomes difficult to preserve is the rich conceptual depth of tea o M&#x00101;ori/M&#x00101;ori worldview, which may be diluted by attempts at analytical specificity. The moderate-to-high correlations among the five factors of the CRPMS suggest that these factors tapped distinct but interrelated aspects of the same construct, which is consistent with Macfarlane&#x02019;s (Macfarlane, <xref ref-type="bibr" rid="B33">2004</xref>) theory.</p>
<p>This study supports Sleeter&#x02019;s (Sleeter, <xref ref-type="bibr" rid="B49">2012</xref>), p. 578, claims that &#x0201C;small-scale case studies illustrate what is possible, but we also need research on the impact of scaled-up work in culturally responsive pedagogy, including research showing how teachers can learn to use it in their classrooms.&#x0201D; This study has several important implications. First, gaining a better understanding of schools&#x02019; culturally responsive practices will increase our understanding of its nature and its relationship to student learning outcomes. Such knowledge has relevance for educators and researchers in bilingual, multilingual, and multicultural societies. Second, this CRPMS instrument may be used in a school&#x02019;s self-review by principals and teachers rating their schools&#x02019; relative strengths and weaknesses in their responsiveness to M&#x00101;ori students and identifying areas that need to be addressed. This is particularly important given that the ERO (Education Review Office, <xref ref-type="bibr" rid="B13">2010</xref>, p. 1) reported that &#x0201C;not all educators have yet recognized their professional responsibility to provide a learning environment that promotes success for M&#x00101;ori students.&#x0201D; Third, CRPMS outcomes may provide empirical evidence that can guide school policy decisions, which may lead to more satisfaction with school by M&#x00101;ori students as M&#x00101;ori.</p>
<p>Further replication and validation studies with the CRPMS is needed to provide further evidence for its validity in different settings. Research is also necessary to investigate the relationships between the CRPMS and significant student outcomes, and how this measure can be used with teachers who have the potential to change the educational outcomes of M&#x00101;ori students (Hattie, <xref ref-type="bibr" rid="B26">2008</xref>). We believe that further replication and validation studies are needed to make sure that the instrument works well in different settings. Although developed for M&#x00101;ori cultural responsiveness, this model may be able to be adapted for other ethnic groups reflecting their cultural perspectives.</p>
<p>Cultural responsiveness in an important component of the ERO&#x02019;s school evaluation indicators. As part of their review process, ERO evaluates schools and makes recommendations regarding their responsiveness to the needs of M&#x00101;ori students. Further studies may use ERO reports to CRPMS results.</p>
<p>One limitation of the study is the marginal sample size available in this study. As mentioned in the literature (Fan and Sivo, <xref ref-type="bibr" rid="B21">2007</xref>), various fit indices and parameter estimates are sensitive to sample size. The other limitation pertains to a possible response bias that may exist in principals&#x02019; responses. Principals may have provided socially desirable responses. Future research may consider collecting cultural responsiveness data by means of independent ratings (e.g., ERO) or multiple ratings from the school community, such as teachers, students, whanau, and/or iwi rather than relying only on principals&#x02019; self-reporting.</p>
</sec>
<sec id="S5">
<title>Ethics Statement</title>
<p>This study was approved by the &#x0201C;University of Otago Human Ethics Committee.&#x0201D;</p>
</sec>
<sec id="S6" sec-type="author-contributor">
<title>Author Contributions</title>
<p>CRPMS was developed by the National Monitoring Study of Student Achievement (NMSSA) team. The author designed this validation study, developed the methodology, performed the analysis, and wrote the manuscript. The author agrees to be accountable for all aspects of the work.</p>
</sec>
<sec id="S7">
<title>Conflict of Interest Statement</title>
<p>The author declares that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest. The reviewer, JS, declared a shared affiliation, though no other collaboration, with the author to the handling editor, who ensured that the process nevertheless met the standards of a fair and objective review.</p>
</sec>
</body>
<back>
<ack>
<p>The author wish to acknowledge the support and contributions of Alison Gilmore, Denise Quinlan, and NMSSA project team and thank all principals, teachers, and students who participated in the 2014 NMSSA study.</p>
</ack>
<sec id="S8">
<title>Funding</title>
<p>The National Monitoring Study of Student Achievement (NMSSA) project is funded by the Ministry of Education, New Zealand.</p>
</sec>
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</ref-list>
<app-group>
<app id="App1">
<title>Appendix</title>
<table-wrap position="float" id="TA1">
<label>Table A1</label>
<caption><p><bold>Culturally responsive practices for M&#x00101;ori scale</bold>.</p></caption>
<table frame="hsides" rules="groups">
<tbody>
<tr>
<td align="left" valign="top">Pumanawatanga (P)</td>
<td align="left" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">P1</td>
<td align="left" valign="top">The school provides an appropriate and welcoming environment for M&#x00101;ori students and visitors <italic>(including visual displays, appropriate use of p&#x0014D;whiri, and mihi whakatau as agreed to)</italic></td>
</tr>
<tr>
<td align="left" valign="top">P2</td>
<td align="left" valign="top">Karakia and waiata are included in school gatherings and their role is understood by students and teachers</td>
</tr>
<tr>
<td align="left" valign="top">P3</td>
<td align="left" valign="top">We are successfully able to engage with our students&#x02019; wh&#x00101;nau in consultation <italic>(e.g., parent teacher and other school meetings and activities)</italic></td>
</tr>
<tr>
<td align="left" valign="top">P4</td>
<td align="left" valign="top">We are successfully able to engage with hap&#x0016B; and iwi in consultation and whole school marae visits are a regular component of the school curriculum</td>
</tr>
<tr>
<td align="left" valign="top">P5</td>
<td align="left" valign="top">M&#x00101;ori wh&#x00101;nau are attracted to this school and actively seek to enroll their children here</td>
</tr>
<tr>
<td align="left" valign="top">Kotahitanga (K)</td>
<td align="left" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">K1</td>
<td align="left" valign="top">School-wide planning incorporates M&#x00101;ori perspectives through ongoing collaboration and consultation, which has led to change</td>
</tr>
<tr>
<td align="left" valign="top">K2</td>
<td align="left" valign="top">The school actively engages in M&#x00101;ori community events and celebrations, such as Matariki and Te wiki o te reo M&#x00101;ori</td>
</tr>
<tr>
<td align="left" valign="top">K3</td>
<td align="left" valign="top">All students are offered the opportunity to participate in Kapa haka</td>
</tr>
<tr>
<td align="left" valign="top">K4</td>
<td align="left" valign="top">Individual curriculum areas reflect an authentic and contemporary M&#x00101;ori world-view and include innovative resources and topics that meet the priorities and goals expressed by the school&#x02019;s M&#x00101;ori students and their wh&#x00101;nau group</td>
</tr>
<tr>
<td align="left" valign="top">K5</td>
<td align="left" valign="top">Intensive te reo M&#x00101;ori study options are available to students</td>
</tr>
<tr>
<td align="left" valign="top">K6</td>
<td align="left" valign="top">Teachers and the wider school community appreciate the value of te reo and tikanga M&#x0101;ori for all students</td>
</tr>
<tr>
<td align="left" valign="top">Whanaungatanga (W)</td>
<td align="left" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">W1</td>
<td align="left" valign="top">Teachers get to know all students and learn about their family context</td>
</tr>
<tr>
<td align="left" valign="top">W2</td>
<td align="left" valign="top">Staff successfully build strong relationships with M&#x00101;ori students and their wh&#x00101;nau, having implemented ideas from the school&#x02019;s wh&#x00101;nau group</td>
</tr>
<tr>
<td align="left" valign="top">W3</td>
<td align="left" valign="top">Tuakana/teina relationships are in place throughout the school</td>
</tr>
<tr>
<td align="left" valign="top">W4</td>
<td align="left" valign="top">M&#x00101;ori students know their teachers care about them and have high expectations for them, and teachers communicate this to them</td>
</tr>
<tr>
<td align="left" valign="top">W5</td>
<td align="left" valign="top">Staff provide opportunities in class for students to use their prior knowledge and experiences and to share their world views and knowledge in ways that enhance learning</td>
</tr>
<tr>
<td align="left" valign="top">Manaakitanga (M)</td>
<td align="left" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">M1</td>
<td align="left" valign="top">All school staff members know te reo M&#x00101;ori names of the waka, mountains, rivers, iwi, hap&#x0016B;, marae, and places in the school area</td>
</tr>
<tr>
<td align="left" valign="top">M2</td>
<td align="left" valign="top">All staff and students are strongly encouraged to correctly pronounce M&#x00101;ori student names and place names</td>
</tr>
<tr>
<td align="left" valign="top">M3</td>
<td align="left" valign="top">M&#x00101;ori-centered restorative justice approaches are used to hear different parties&#x02019; perspectives and restore relationships</td>
</tr>
<tr>
<td align="left" valign="top">M4</td>
<td align="left" valign="top">M&#x00101;ori achievement in academic and other areas such as leadership, performance, and oratory is explicitly celebrated, valued, and encouraged</td>
</tr>
<tr>
<td align="left" valign="top">Rangatiratanga (R)</td>
<td align="left" valign="top"/>
</tr>
<tr>
<td align="left" valign="top">R1</td>
<td align="left" valign="top">The school is meeting the specific short, medium, and long-term goals for M&#x00101;ori students set out in our strategic plan, and informed by Ka Hikitia Accelerating Success, 2013&#x02013;2017, the M&#x00101;ori Education Strategy</td>
</tr>
<tr>
<td align="left" valign="top">R2</td>
<td align="left" valign="top">The school has successfully encouraged M&#x00101;ori representation on the school board that provides a valued and informed M&#x00101;ori voice and leadership</td>
</tr>
<tr>
<td align="left" valign="top">R3</td>
<td align="left" valign="top">Teachers are encouraged and supported to learn te reo M&#x00101;ori</td>
</tr>
<tr>
<td align="left" valign="top">R4</td>
<td align="left" valign="top">Some teachers are fluent in te reo M&#x00101;ori</td>
</tr>
<tr>
<td align="left" valign="top">R5</td>
<td align="left" valign="top">Teachers have ongoing professional development on M&#x00101;ori perspectives including equity issues relating to the Treaty of Waitangi</td>
</tr>
<tr>
<td align="left" valign="top">R6</td>
<td align="left" valign="top">Systems developed with the school&#x02019;s M&#x00101;ori wh&#x00101;nau group/M&#x00101;ori advisors to check that school resources are culturally appropriate for M&#x00101;ori students, are in place, and working</td>
</tr>
<tr>
<td align="left" valign="top">R7</td>
<td align="left" valign="top">Decision-making and resources regarding M&#x00101;ori education programs are made with the school&#x02019;s M&#x00101;ori wh&#x00101;nau group/M&#x00101;ori advisors</td>
</tr>
</tbody>
</table>
</table-wrap>
</app>
</app-group>
</back>
</article>
