Measuring Variability and Change With an Item Response Model for Polytomous Variables
Identifieur interne : 001A88 ( Istex/Corpus ); précédent : 001A87; suivant : 001A89Measuring Variability and Change With an Item Response Model for Polytomous Variables
Auteurs : Michael Eid ; Lore HoffmannSource :
- Journal of Educational Statistics [ 1076-9986 ] ; 1998-09.
Abstract
An extension of the graded response model of Samejima (1969) for the measurement of variability and change is presented. In this model it is assumed that an occasion-specific latent variable is decomposed into (a) a person-specific variable (a trait variable) and (b) an occasion-specific deviation variable measuring the variability caused by situational and/or interactional effects. Furthermore, it is assumed that interindividual differences in intraindividual trait change occur between a priori specified periods of time. The correlations of the latent trait variables between periods of time indicate the degree of (trait) change. It is shown how the parameters of the model can be estimated and some implications of the model can be tested with structural equation models for ordered variables. Finally, the model is illustrated by an application to the measurement of students’ interest in the topic of radioactivity. Based on the results of a longitudinal study of students over 4’years, it is shown that a model considering two periods of time—one before and one after the incident in Chernobyl—fits well. According to the accepted model, it can be concluded that 30% to 60% of the variance of interest in radioactivity on an occasion of measurement are due to situational and/or interactional effects. The autocorrelations of the latent trait variables between both periods of time (r = .72 and r = .76, respectively) indicate that there are interindividual differences in intraindividual changes on the level of the latent trait variables.
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DOI: 10.3102/10769986023003193
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<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Measuring Variability and Change With an Item Response Model for Polytomous Variables</title><author wicri:is="90%"><name sortKey="Eid, Michael" sort="Eid, Michael" uniqKey="Eid M" first="Michael" last="Eid">Michael Eid</name></author><author wicri:is="90%"><name sortKey="Hoffmann, Lore" sort="Hoffmann, Lore" uniqKey="Hoffmann L" first="Lore" last="Hoffmann">Lore Hoffmann</name></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:4563AD23E5D64375C79A55EAA4216717FE6BC974</idno><date when="1998" year="1998">1998</date><idno type="doi">10.3102/10769986023003193</idno><idno type="url">https://api.istex.fr/document/4563AD23E5D64375C79A55EAA4216717FE6BC974/fulltext/pdf</idno><idno type="wicri:Area/Istex/Corpus">001A88</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">001A88</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Measuring Variability and Change With an Item Response Model for Polytomous Variables</title><author wicri:is="90%"><name sortKey="Eid, Michael" sort="Eid, Michael" uniqKey="Eid M" first="Michael" last="Eid">Michael Eid</name></author><author wicri:is="90%"><name sortKey="Hoffmann, Lore" sort="Hoffmann, Lore" uniqKey="Hoffmann L" first="Lore" last="Hoffmann">Lore Hoffmann</name></author></analytic><monogr></monogr><series><title level="j">Journal of Educational Statistics</title><idno type="ISSN">1076-9986</idno><idno type="eISSN">1935-1054</idno><imprint><publisher>SAGE Publications</publisher><pubPlace>Sage CA: Los Angeles, CA</pubPlace><date type="published" when="1998-09">1998-09</date><biblScope unit="volume">23</biblScope><biblScope unit="issue">3</biblScope><biblScope unit="page" from="193">193</biblScope><biblScope unit="page" to="215">215</biblScope></imprint><idno type="ISSN">1076-9986</idno></series><idno type="istex">4563AD23E5D64375C79A55EAA4216717FE6BC974</idno><idno type="DOI">10.3102/10769986023003193</idno><idno type="ArticleID">10.3102_10769986023003193</idno></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">1076-9986</idno></seriesStmt></fileDesc><profileDesc><textClass></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">An extension of the graded response model of Samejima (1969) for the measurement of variability and change is presented. In this model it is assumed that an occasion-specific latent variable is decomposed into (a) a person-specific variable (a trait variable) and (b) an occasion-specific deviation variable measuring the variability caused by situational and/or interactional effects. Furthermore, it is assumed that interindividual differences in intraindividual trait change occur between a priori specified periods of time. The correlations of the latent trait variables between periods of time indicate the degree of (trait) change. It is shown how the parameters of the model can be estimated and some implications of the model can be tested with structural equation models for ordered variables. Finally, the model is illustrated by an application to the measurement of students’ interest in the topic of radioactivity. Based on the results of a longitudinal study of students over 4’years, it is shown that a model considering two periods of time—one before and one after the incident in Chernobyl—fits well. According to the accepted model, it can be concluded that 30% to 60% of the variance of interest in radioactivity on an occasion of measurement are due to situational and/or interactional effects. The autocorrelations of the latent trait variables between both periods of time (r = .72 and r = .76, respectively) indicate that there are interindividual differences in intraindividual changes on the level of the latent trait variables.</div></front></TEI><istex><corpusName>sage</corpusName><author><json:item><name>Michael Eid</name></json:item><json:item><name>Lore Hoffmann</name></json:item></author><subject><json:item><lang><json:string>eng</json:string></lang><value>Keywords: interest</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>item response theory</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>measurement of change</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>measurement of variability</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>structural equation models of ordered variables</value></json:item></subject><articleId><json:string>10.3102_10769986023003193</json:string></articleId><language><json:string>eng</json:string></language><originalGenre><json:string>research-article</json:string></originalGenre><abstract>An extension of the graded response model of Samejima (1969) for the measurement of variability and change is presented. In this model it is assumed that an occasion-specific latent variable is decomposed into (a) a person-specific variable (a trait variable) and (b) an occasion-specific deviation variable measuring the variability caused by situational and/or interactional effects. Furthermore, it is assumed that interindividual differences in intraindividual trait change occur between a priori specified periods of time. The correlations of the latent trait variables between periods of time indicate the degree of (trait) change. It is shown how the parameters of the model can be estimated and some implications of the model can be tested with structural equation models for ordered variables. Finally, the model is illustrated by an application to the measurement of students’ interest in the topic of radioactivity. Based on the results of a longitudinal study of students over 4’years, it is shown that a model considering two periods of time—one before and one after the incident in Chernobyl—fits well. According to the accepted model, it can be concluded that 30% to 60% of the variance of interest in radioactivity on an occasion of measurement are due to situational and/or interactional effects. The autocorrelations of the latent trait variables between both periods of time (r = .72 and r = .76, respectively) indicate that there are interindividual differences in intraindividual changes on the level of the latent trait variables.</abstract><qualityIndicators><score>8.368</score><pdfVersion>1.4</pdfVersion><pdfPageSize>426.36 x 664.68 pts</pdfPageSize><refBibsNative>true</refBibsNative><abstractCharCount>1552</abstractCharCount><pdfWordCount>8396</pdfWordCount><pdfCharCount>50822</pdfCharCount><pdfPageCount>23</pdfPageCount><abstractWordCount>239</abstractWordCount></qualityIndicators><title>Measuring Variability and Change With an Item Response Model for Polytomous Variables</title><refBibs><json:item><author><json:item><name>DJ </name></json:item></author><host><volume>42</volume><pages><last>321</last><first>293</first></pages><author></author><title>Journal of the Royal Statistical Society B</title></host><title>Factor analysis for categorical 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Time series and categorical longitudinal data</title></host></json:item></refBibs><genre><json:string>research-article</json:string></genre><host><volume>23</volume><publisherId><json:string>JEB</json:string></publisherId><pages><last>215</last><first>193</first></pages><issn><json:string>1076-9986</json:string></issn><issue>3</issue><genre><json:string>journal</json:string></genre><language><json:string>unknown</json:string></language><eissn><json:string>1935-1054</json:string></eissn><title>Journal of Educational Statistics</title></host><categories><wos><json:string>social science</json:string><json:string>social sciences, mathematical methods</json:string><json:string>psychology, mathematical</json:string><json:string>education & educational research</json:string></wos><scienceMetrix><json:string>economic & social sciences</json:string><json:string>social sciences</json:string><json:string>social sciences methods</json:string></scienceMetrix></categories><publicationDate>1998</publicationDate><copyrightDate>1998</copyrightDate><doi><json:string>10.3102/10769986023003193</json:string></doi><id>4563AD23E5D64375C79A55EAA4216717FE6BC974</id><score>0.022225691</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/document/4563AD23E5D64375C79A55EAA4216717FE6BC974/fulltext/pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/document/4563AD23E5D64375C79A55EAA4216717FE6BC974/fulltext/zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/document/4563AD23E5D64375C79A55EAA4216717FE6BC974/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Measuring Variability and Change With an Item Response Model for Polytomous Variables</title></titleStmt><publicationStmt><authority>ISTEX</authority><publisher>SAGE Publications</publisher><pubPlace>Sage CA: Los Angeles, CA</pubPlace><availability><p>SAGE</p></availability><date>1998</date></publicationStmt><notesStmt><note>MICHAEL EID is Assistant Professor, Department of Psychology, University of Trier, D-54286 Trier, Germany; eid@uni-trier.de. He specializes in item response theory, measurement theory, and structural equation modeling.</note></notesStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Measuring Variability and Change With an Item Response Model for Polytomous Variables</title><author xml:id="author-1"><persName><forename type="first">Michael</forename><surname>Eid</surname></persName></author><author xml:id="author-2"><persName><forename type="first">Lore</forename><surname>Hoffmann</surname></persName></author></analytic><monogr><title level="j">Journal of Educational Statistics</title><idno type="pISSN">1076-9986</idno><idno type="eISSN">1935-1054</idno><imprint><publisher>SAGE Publications</publisher><pubPlace>Sage CA: Los Angeles, CA</pubPlace><date type="published" when="1998-09"></date><biblScope unit="volume">23</biblScope><biblScope unit="issue">3</biblScope><biblScope unit="page" from="193">193</biblScope><biblScope unit="page" to="215">215</biblScope></imprint></monogr><idno type="istex">4563AD23E5D64375C79A55EAA4216717FE6BC974</idno><idno type="DOI">10.3102/10769986023003193</idno><idno type="ArticleID">10.3102_10769986023003193</idno></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>1998</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>An extension of the graded response model of Samejima (1969) for the measurement of variability and change is presented. In this model it is assumed that an occasion-specific latent variable is decomposed into (a) a person-specific variable (a trait variable) and (b) an occasion-specific deviation variable measuring the variability caused by situational and/or interactional effects. Furthermore, it is assumed that interindividual differences in intraindividual trait change occur between a priori specified periods of time. The correlations of the latent trait variables between periods of time indicate the degree of (trait) change. It is shown how the parameters of the model can be estimated and some implications of the model can be tested with structural equation models for ordered variables. Finally, the model is illustrated by an application to the measurement of students’ interest in the topic of radioactivity. Based on the results of a longitudinal study of students over 4’years, it is shown that a model considering two periods of time—one before and one after the incident in Chernobyl—fits well. According to the accepted model, it can be concluded that 30% to 60% of the variance of interest in radioactivity on an occasion of measurement are due to situational and/or interactional effects. The autocorrelations of the latent trait variables between both periods of time (r = .72 and r = .76, respectively) indicate that there are interindividual differences in intraindividual changes on the level of the latent trait variables.</p></abstract><textClass><keywords scheme="keyword"><list><head>keywords</head><item><term>Keywords: interest</term></item><item><term>item response theory</term></item><item><term>measurement of change</term></item><item><term>measurement of variability</term></item><item><term>structural equation models of ordered variables</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1998-09">Published</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/document/4563AD23E5D64375C79A55EAA4216717FE6BC974/fulltext/txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="corpus sage not found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//NLM//DTD Journal Publishing DTD v2.3 20070202//EN" URI="journalpublishing.dtd" name="istex:docType"></istex:docType><istex:document><article article-type="research-article" dtd-version="2.3" xml:lang="EN"><front><journal-meta><journal-id journal-id-type="publisher-id">JEB</journal-id><journal-id journal-id-type="hwp">spjeb</journal-id><journal-title>Journal of Educational Statistics</journal-title><issn pub-type="ppub">1076-9986</issn><publisher><publisher-name>SAGE Publications</publisher-name><publisher-loc>Sage CA: Los Angeles, CA</publisher-loc></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.3102/10769986023003193</article-id><article-id pub-id-type="publisher-id">10.3102_10769986023003193</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group></article-categories><title-group><article-title>Measuring Variability and Change With an Item Response Model for Polytomous Variables</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Eid</surname><given-names>Michael</given-names></name><xref ref-type="fn" rid="fn1-0230193"></xref></contrib><aff id="af1-0230193">University of Trier</aff></contrib-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Hoffmann</surname><given-names>Lore</given-names></name><xref ref-type="fn" rid="fn2-0230193"></xref></contrib><aff id="af2-0230193">Institute of Science Education, Kiel</aff></contrib-group><author-notes><fn id="fn1-0230193"><p>MICHAEL EID is Assistant Professor, Department of Psychology, University of Trier, D-54286 Trier, Germany; <email xlink:type="simple">eid@uni-trier.de</email>. He specializes in item response theory, measurement theory, and structural equation modeling.</p></fn><fn id="fn2-0230193"><p>LORE HOFFMANN is acting head of the Department of Educational Science, Institute for Science Education, University of Kiel, Olshausenstrasse 62, D-24098 Kiel, Germany; <email xlink:type="simple">hoffmann@ipn.uni-kiel.de</email>. She specializes in interest research and gender differences in science education.</p></fn></author-notes><pub-date pub-type="ppub"><month>9</month><year>1998</year></pub-date><volume>23</volume><issue>3</issue><fpage>193</fpage><lpage>215</lpage><history><date date-type="received"><day>27</day><month>11</month><year>1995</year></date><date date-type="rev-recd"><day>25</day><month>11</month><year>1996</year></date><date date-type="accepted"><day>24</day><month>4</month><year>1997</year></date></history><copyright-year>1998</copyright-year><abstract><p>An extension of the graded response model of <xref ref-type="bibr" rid="b51-0230193">Samejima (1969)</xref> for the measurement of variability and change is presented. In this model it is assumed that an occasion-specific latent variable is decomposed into (a) a person-specific variable (a trait variable) and (b) an occasion-specific deviation variable measuring the variability caused by situational and/or interactional effects. Furthermore, it is assumed that interindividual differences in intraindividual trait change occur between a priori specified periods of time. The correlations of the latent trait variables between periods of time indicate the degree of (trait) change. It is shown how the parameters of the model can be estimated and some implications of the model can be tested with structural equation models for ordered variables. Finally, the model is illustrated by an application to the measurement of students’ interest in the topic of radioactivity. Based on the results of a longitudinal study of students over 4’years, it is shown that a model considering two periods of time—one before and one after the incident in Chernobyl—fits well. According to the accepted model, it can be concluded that 30% to 60% of the variance of interest in radioactivity on an occasion of measurement are due to situational and/or interactional effects. The autocorrelations of the latent trait variables between both periods of time (r = .72 and r = .76, respectively) indicate that there are interindividual differences in intraindividual changes on the level of the latent trait variables.</p></abstract><kwd-group><kwd>Keywords: interest</kwd><kwd>item response theory</kwd><kwd>measurement of change</kwd><kwd>measurement of variability</kwd><kwd>structural equation models of ordered variables</kwd></kwd-group><custom-meta-wrap><custom-meta xlink:type="simple"><meta-name>cover-date</meta-name><meta-value>Fall, 1998</meta-value></custom-meta></custom-meta-wrap></article-meta></front><back><ref-list><title>References</title><ref id="b1-0230193"><nlm-citation citation-type="journal" xlink:type="simple"><person-group person-group-type="author"><name name-style="western"><surname>Bartholomew</surname><given-names>DJ</given-names></name></person-group><article-title>Factor analysis for categorical data.</article-title><source>Journal of the 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Time series and categorical longitudinal data</source><year>1990b</year><publisher-loc>San Diego, CA</publisher-loc><publisher-name>Academic Press</publisher-name></nlm-citation></ref></ref-list></back></article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo lang="en"><title>Measuring Variability and Change With an Item Response Model for Polytomous Variables</title></titleInfo><titleInfo type="alternative" lang="en" contentType="CDATA"><title>Measuring Variability and Change With an Item Response Model for Polytomous Variables</title></titleInfo><name type="personal"><namePart type="given">Michael</namePart><namePart type="family">Eid</namePart></name><name type="personal"><namePart type="given">Lore</namePart><namePart type="family">Hoffmann</namePart></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="research-article"></genre><originInfo><publisher>SAGE Publications</publisher><place><placeTerm type="text">Sage CA: Los Angeles, CA</placeTerm></place><dateIssued encoding="w3cdtf">1998-09</dateIssued><copyrightDate encoding="w3cdtf">1998</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><physicalDescription><internetMediaType>text/html</internetMediaType></physicalDescription><abstract lang="en">An extension of the graded response model of Samejima (1969) for the measurement of variability and change is presented. In this model it is assumed that an occasion-specific latent variable is decomposed into (a) a person-specific variable (a trait variable) and (b) an occasion-specific deviation variable measuring the variability caused by situational and/or interactional effects. Furthermore, it is assumed that interindividual differences in intraindividual trait change occur between a priori specified periods of time. The correlations of the latent trait variables between periods of time indicate the degree of (trait) change. It is shown how the parameters of the model can be estimated and some implications of the model can be tested with structural equation models for ordered variables. Finally, the model is illustrated by an application to the measurement of students’ interest in the topic of radioactivity. Based on the results of a longitudinal study of students over 4’years, it is shown that a model considering two periods of time—one before and one after the incident in Chernobyl—fits well. According to the accepted model, it can be concluded that 30% to 60% of the variance of interest in radioactivity on an occasion of measurement are due to situational and/or interactional effects. The autocorrelations of the latent trait variables between both periods of time (r = .72 and r = .76, respectively) indicate that there are interindividual differences in intraindividual changes on the level of the latent trait variables.</abstract><note type="footnotes">MICHAEL EID is Assistant Professor, Department of Psychology, University of Trier, D-54286 Trier, Germany; eid@uni-trier.de. He specializes in item response theory, measurement theory, and structural equation modeling.</note><subject><genre>keywords</genre><topic>Keywords: interest</topic><topic>item response theory</topic><topic>measurement of change</topic><topic>measurement of variability</topic><topic>structural equation models of ordered variables</topic></subject><relatedItem type="host"><titleInfo><title>Journal of Educational Statistics</title></titleInfo><genre type="journal">journal</genre><identifier type="ISSN">1076-9986</identifier><identifier type="eISSN">1935-1054</identifier><identifier type="PublisherID">JEB</identifier><identifier type="PublisherID-hwp">spjeb</identifier><part><date>1998</date><detail type="volume"><caption>vol.</caption><number>23</number></detail><detail type="issue"><caption>no.</caption><number>3</number></detail><extent unit="pages"><start>193</start><end>215</end></extent></part></relatedItem><identifier type="istex">4563AD23E5D64375C79A55EAA4216717FE6BC974</identifier><identifier type="DOI">10.3102/10769986023003193</identifier><identifier type="ArticleID">10.3102_10769986023003193</identifier><recordInfo><recordContentSource>SAGE</recordContentSource></recordInfo></mods></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
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