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Examining the Measurement Invariance of TIMSS 2015 Mathematics Liking Scale through Different Methods

Year 2021, Volume: 8 Issue: 1, 67 - 89, 15.03.2021
https://doi.org/10.21449/ijate.705426

Abstract

Studies aiming to make cross-cultural comparisons first should establish measurement invariance in the groups to be compared because results obtained from such comparisons may be artificial in the event that measurement invariance cannot be established. The purpose of this study is to investigate the measurement invariance of the data obtained from the "Mathematics Liking Scale" in TIMSS 2015through Multiple Group CFA, Multiple Group LCA and Mixed Rasch Model, which are based on different theoretical foundations and to compare the obtained results. To this end, TIMSS 2015 data for students in the USA and Canada, who speak the same language and data for students in the USA and Turkey, who speak different languages, are used. The study is conducted through a descriptive study approach. The study revealed that all measurement invariance levels were established in Multiple Group CFA for the USA-Canada comparison. In Multiple Group LCA, on the other hand, measurement invariance was established up to partial homogeneity. However, it was not established in the Mixed Rasch Model. As for the USA-Turkey comparison, metric invariance was established in Multiple Group CFA whereas in Multiple Group LCA it stopped at the heterogeneity level. Measurement invariance for data failed to be established for the relevant sample in the Mixed Rasch Model. The foregoing findings suggest that methods with different theoretical foundations yield different measurement invariance results. In this regard, when deciding on the method to be used in measurement invariance studies, it is recommended to examine the necessary assumptions and consider the variable structure.

References

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  • Aryadoust, V., & Zhang, L. (2016). Fitting the mixed rasch model to a reading comprehension test: Exploring individual difference profiles in L2 reading. Language Testing, 33(4), 529-553. https://doi.org/10.1177/0265532215594640
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  • Baghaei, P., & Carstensen, C. H. (2013). Fitting the mixed rasch model to a reading comprehension test: Identifying reader types. Practical Assessment, Research & Evaluation, 18. 1-13. https://doi.org/10.7275/n191-pt86
  • Bahadır, E. (2012). Uluslararası Öğrenci Değerlendirme Programı'na (PISA 2009) göre Türkiye'deki öğrencilerin okuma becerilerini etkileyen değişkenlerin bölgelere göre incelenmesi [According Programme for International Student Assessment (PISA 2009), investigation of variables that affect Turkish students' reading skills by regions]. Unpublished master thesis, Hacettepe University, Institutes of Social Sciences, Ankara.
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Examining the Measurement Invariance of TIMSS 2015 Mathematics Liking Scale through Different Methods

Year 2021, Volume: 8 Issue: 1, 67 - 89, 15.03.2021
https://doi.org/10.21449/ijate.705426

Abstract

Studies aiming to make cross-cultural comparisons first should establish measurement invariance in the groups to be compared because results obtained from such comparisons may be artificial in the event that measurement invariance cannot be established. The purpose of this study is to investigate the measurement invariance of the data obtained from the "Mathematics Liking Scale" in TIMSS 2015through Multiple Group CFA, Multiple Group LCA and Mixed Rasch Model, which are based on different theoretical foundations and to compare the obtained results. To this end, TIMSS 2015 data for students in the USA and Canada, who speak the same language and data for students in the USA and Turkey, who speak different languages, are used. The study is conducted through a descriptive study approach. The study revealed that all measurement invariance levels were established in Multiple Group CFA for the USA-Canada comparison. In Multiple Group LCA, on the other hand, measurement invariance was established up to partial homogeneity. However, it was not established in the Mixed Rasch Model. As for the USA-Turkey comparison, metric invariance was established in Multiple Group CFA whereas in Multiple Group LCA it stopped at the heterogeneity level. Measurement invariance for data failed to be established for the relevant sample in the Mixed Rasch Model. The foregoing findings suggest that methods with different theoretical foundations yield different measurement invariance results. In this regard, when deciding on the method to be used in measurement invariance studies, it is recommended to examine the necessary assumptions and consider the variable structure.

References

  • Anderson, J. C., & Gerbing, D.W. (1984). The effect of sampling error on convergence, improper solutions, and goodness-of-fit indices for maximum likelihood confirmatory factor analysis. Psychometrika, 49(2), 155-173. https://doi.org/10.1007/BF02294170
  • Arim, R. G., & Ercikan, K. (2014). Comparability between the American and Turkish versions of the TIMSS mathematics test results. Education & Science, 39(172), 33-48.
  • Aryadoust, V. (2015). Fitting a mixture Rasch model to English as a foreign language listening tests: The role of cognitive and background variables in explaining latent differential item functioning. International Journal of Testing, 15(3), 216 238. https://doi.org/10.1080/15305058.2015.1004409
  • Aryadoust, V., & Zhang, L. (2016). Fitting the mixed rasch model to a reading comprehension test: Exploring individual difference profiles in L2 reading. Language Testing, 33(4), 529-553. https://doi.org/10.1177/0265532215594640
  • Asil, M., & Gelbal, S. (2012). PISA öğrenci anketinin kültürler arası eşdeğerliği [Cross-cultural equivalence of the PISA student questionnaire]. Eğitim ve Bilim, 37(166), 236-249.
  • Baghaei, P., & Carstensen, C. H. (2013). Fitting the mixed rasch model to a reading comprehension test: Identifying reader types. Practical Assessment, Research & Evaluation, 18. 1-13. https://doi.org/10.7275/n191-pt86
  • Bahadır, E. (2012). Uluslararası Öğrenci Değerlendirme Programı'na (PISA 2009) göre Türkiye'deki öğrencilerin okuma becerilerini etkileyen değişkenlerin bölgelere göre incelenmesi [According Programme for International Student Assessment (PISA 2009), investigation of variables that affect Turkish students' reading skills by regions]. Unpublished master thesis, Hacettepe University, Institutes of Social Sciences, Ankara.
  • Başusta, N. B., & Gelbal, S. (2015). Gruplar arası karşılaştırmalarda ölçme değişmezliğinin test edilmesi: PISA öğrenci anketi örneği [Examination of measurement invariance at groups’ comparisons: a study on PISA student questionnaire]. Hacetepe Üniversitesi Eğitim Fakültesi Dergisi, 30(4), 80-90.
  • Bilir, M. K. (2009). Mixture item response theory-mimic model: simultaneous estimation of differential item functioning for manifest groups and latent classes (Unpublished doctoral dissertation). Florida State University.
  • Bowden, S. C., Saklofske, D. H., & Weiss, L. G. (2011). Invariance of the measurement model underlying the Wechsler Adult Intelligence Scale-IV in the United States and Canada. Educational and Psychological Measurement, 71(1), 186-199.
  • Brien, M., Forest, J., Mageau, G. A., Boudrias, J. S., Desrumaux, P., Brunet, L., & Morin, E. M. (2012). The basic psychological needs at work scale: measurement invariance between Canada and France. Applied Psychology: Health and Well‐Being, 4(2), 167-187.
  • Bryne, B. M., & Watkins, D. (2003). The issue of measurement invariance revisited. Journal of Cross Cultural Psychology, 34(2), 155 175. https://doi.org/10.1177/0022022102250225
  • Buchholz, J., & Hartig, J. (2017). Comparing attitudes across groups: An IRT-based item-fit statistic for the analysis of measurement invariance. Applied Psychological Measurement, 43(3), 241-250. https://doi.org/10.1177/0146621617748323
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Details

Primary Language English
Subjects Studies on Education
Journal Section Articles
Authors

Zafer Ertürk 0000-0003-3651-7602

Esra Oyar This is me 0000-0002-4337-7815

Publication Date March 15, 2021
Submission Date March 17, 2020
Published in Issue Year 2021 Volume: 8 Issue: 1

Cite

APA Ertürk, Z., & Oyar, E. (2021). Examining the Measurement Invariance of TIMSS 2015 Mathematics Liking Scale through Different Methods. International Journal of Assessment Tools in Education, 8(1), 67-89. https://doi.org/10.21449/ijate.705426

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