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Factor structure and measurement invariance of the TIMSS 2015 mathematics attitude questionnaire: Exploratory structural equation modelling approach

Year 2021, Volume: 8 Issue: 4, 855 - 871, 04.12.2021
https://doi.org/10.21449/ijate.796862

Abstract

In the current study, the appropriateness of the Mathematics Attitude Questionnaire administered to middle school 8th grade students in the TIMSS 2015 application to the exploratory structural equation and confirmatory factor analysis models was examined. The study was conducted on 6079 students making up the sample of Turkey. In the TIMSS 2015 application, the attitude items are presented under four headings called students’ interest in mathematics, students’ views on engaging teaching in mathematics lessons, students’ self-confidence in mathematics, and students’ value mathematics. As a result of the investigation of the factor structure of these items, the attitude questionnaire with its 5 factors and 35 items was accepted to be suitable for the Exploratory Structural Equation Model (ESEM). Moreover, invariance of the TIMSS 8th grade mathematics attitude questionnaire depending on gender was investigated at six stages as configural, weak (metric), strong (scalar), strict, variance-covariance, and latent mean invariance through ESEM. It was concluded that the questionnaire satisfied all the invariance conditions.

References

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  • Asparouhov, T; Muthén, B. (2010). Computing the strictly positive Satorra-Bentler chi-square test in Mplus. Mplus Web Notes, 12, 1-12.
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  • Chung, H., Kim, J., Park, R., Bamer, A. M., Bocell, F. D., & Amtmann, D. (2016). Testing the measurement invariance of the University of Washington Self-Efficacy Scale short form across four diagnostic subgroups. Quality of Life Research: An International Journal of Quality of Life Aspects of Treatment, Care and Rehabilitation, 25(10), 2559–2564. https://doi.org/10.1007/s11136-016-1300-z
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  • Guay, F., Morin, A., Litalien, D., Valois, P., & Vallerand, R. (2015). Application of Exploratory Structural Equation Modeling to Evaluate the Academic Motivation Scale. The Journal of Experimental Education, 83(1), 51-82. https://doi.org/10.1080/00220973.2013.876231
  • Guo, J. M. (2019). A Systematic evaluation and comparison between exploratory structural equation modeling and bayesian structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 26, 529-556. https://doi.org/10.1080/10705511.2018.1554999
  • Guo, J., Parker, H., Dicke, P., Lüdtke, T., & Diallo, T. (2019). A systematic evaluation and comparison between exploratory structural equation modeling and bayesian structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 26 (4), 529-556. https://doi.org/10.1080/10705511.2018.1554999
  • Güngör, M & Atalay Kabasakal, K. (2020). Investigation of measurement invariance of science motivation and self-efficacy model: PISA 2015 Turkey sample. International Journal of Assessment Tools in Education, 7(2), 207-222. https://doi.org/10.21449/ijate.730481
  • Horn, J. L., & McArdle, J. J. (1992). A practical and theoretical guide to measurement invariance in aging research. Experimental Aging Research, 18(3), 117-144. https://doi.org/10.1080/03610739208253916
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  • Joshanloo, M., & Lamers, S. M. (2016). Reinvestigation of the factor structure of the MHC-SF in the Netherlands: Contributions of exploratory structural equation modeling. Personality and Individual Differences, 97, 8 12. https://doi.org/10.1016/j.paid.2016.02.089
  • Jung, J. Y. (2019): A Comparison of CFA and ESEM approaches using TIMSS science attitudes items: evidence from factor structure and measurement invariance. [Master’s Thesis, Purdue University]. Purdue University Graduate School, Department of Educational Studies, https://doi.org/10.25394/PGS.7995890.v1
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  • Marsh, H. W., Liem, G. A. D., Martin, A. J., Morin, A. J., & Nagengast, B. (2011). Methodological measurement fruitfulness of exploratory structural equation modeling (ESEM): New approaches to key substantive issues in motivation and engagement. Journal of Psychoeducational Assessment, 29(4), 322 346. https://doi.org/10.1177/0734282911406657
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Factor structure and measurement invariance of the TIMSS 2015 mathematics attitude questionnaire: Exploratory structural equation modelling approach

Year 2021, Volume: 8 Issue: 4, 855 - 871, 04.12.2021
https://doi.org/10.21449/ijate.796862

Abstract

In the current study, the appropriateness of the Mathematics Attitude Questionnaire administered to middle school 8th grade students in the TIMSS 2015 application to the exploratory structural equation and confirmatory factor analysis models was examined. The study was conducted on 6079 students making up the sample of Turkey. In the TIMSS 2015 application, the attitude items are presented under four headings called students’ interest in mathematics, students’ views on engaging teaching in mathematics lessons, students’ self-confidence in mathematics, and students’ value mathematics. As a result of the investigation of the factor structure of these items, the attitude questionnaire with its 5 factors and 35 items was accepted to be suitable for the Exploratory Structural Equation Model (ESEM). Moreover, invariance of the TIMSS 8th grade mathematics attitude questionnaire depending on gender was investigated at six stages as configural, weak (metric), strong (scalar), strict, variance-covariance, and latent mean invariance through ESEM. It was concluded that the questionnaire satisfied all the invariance conditions.

References

  • Asparouhov, T., & Muthén, B. (2006). Robust chi square difference testing with mean and variance adjusted test statistics. Mplus Web Notes, 10.
  • Asparouhov, T., & Muthen, B. (2009). Exploratory structural equation modeling. Structural Equation Modeling, 16, 397–438. https://doi.org/10.1080/10705510903008204
  • Allison, P. D. (2003). Missing data techniques for structural equation modeling. Journal of Abnormal Psychology, 112(4), 545. https://doi.org/10.1037/0021-843X.112.4.545
  • Asparouhov, T; Muthén, B. (2010). Computing the strictly positive Satorra-Bentler chi-square test in Mplus. Mplus Web Notes, 12, 1-12.
  • Başusta, N. B., & Gelbal, S. (2015). Gruplararası karşılaştırmalarda ölçme değişmezliğinin test edilmesi: PISA öğrenci anketi örneği [Examination of measurement invariance at groups' comparisons: A study on PISA student questionnaire]. Hacettepe University Journal of Education, 30(4), 80 90. http://www.efdergi.hacettepe.edu.tr/yonetim/icerik/makaleler/1773-published.pdf
  • Bofah, E. A. T., & Hannula, M. S. (2015). TIMSS data in an African comparative perspective: Investigating the factors influencing achievement in mathematics and their psychometric properties. Large Scale Assessments in Education, 3(1), 1 36. http://dx.doi.org/10.1186/s40536-015-0014-y
  • Booth, T., & Hughes, D. J. (2014). Exploratory structural equation modeling of personality data. Assessment, 21(3), 260-271. https://doi.org/10.1177/1073191114528029
  • Bornstein, M. H. (1995). Form and function: Implications for studies of culture and human development. Culture & Psychology, 1(1), 123 137. https://doi.org/10.1177/1354067X9511009
  • Brown, T. (2006). Confirmatory factor analysis for applied research. The Guilford Press.
  • Browne, M. W., & Cudeck, R. (1993). Alternative ways of assessing model fit. In K. A. Bollen and J. S. Long (Eds.), Testing structural equation models (pp. 136-162). Sage.
  • Bryant, F. B., & Satorra, A. (2012). Principles and practice of scaled difference chi-square testing. Structural Equation Modeling: A Multidisciplinary Journal, 19(3), 372-398. https://doi.org/10.1080/10705511.2012.687671
  • Büyüköztürk, Ş. (2002). Faktör analizi: Temel kavramlar ve ölçek geliştirmede kullanımı [Factor analysis: Basic concepts and using to development scale]. Educational Administration in Theory and Practice, 8(4), 470 483. https://dergipark.org.tr/tr/pub/kuey/issue/10365/126871
  • Caro, D. H., Sandoval-Hernández, A., & Lüdtke, O. (2014). Cultural, social, and economic capital constructs in international assessments: An evaluation using exploratory structural equation modeling. School Effectiveness and School Improvement, 25(3), 433-450. https://doi.org/10.1080/09243453.2013.812568
  • Chen, F. F. (2007). Sensitivity of goodness of fit indexes to lack of measurement invariance. Structural Equation Modeling: A Multidisciplinary Journal, 14(3), 464 504. https://doi.org/10.1080/10705510701301834
  • Chung, H., Kim, J., Park, R., Bamer, A. M., Bocell, F. D., & Amtmann, D. (2016). Testing the measurement invariance of the University of Washington Self-Efficacy Scale short form across four diagnostic subgroups. Quality of Life Research: An International Journal of Quality of Life Aspects of Treatment, Care and Rehabilitation, 25(10), 2559–2564. https://doi.org/10.1007/s11136-016-1300-z
  • Cudeck, R., & MacCallum, R. C. (Eds.). (2007). Factor analysis at 100: Historical developments and future directions. Lawrence Erlbaum
  • Çokluk, Ö., Şekercioğlu, G. & Büyüköztürk, Ş. (2010). Sosyal bilimler için çok değişkenli istatistik: SPSS ve LISREL uygulamaları. Pegem Akademi.
  • Ertürk, Z., & Erdinç-Akan, O. (2018). TIMSS 2015 matematik başarısı ile ilgili bazı değişkenlerin cinsiyete göre ölçme değişmezliğinin incelenmesi [The investigation of measurement invariance of the variables related to TIMSS 2015 mathematics achievement in terms of gender]. Journal of Theoretical Educational Science, 204-226. https://dergipark.org.tr/tr/pub/akukeg/issue/40520/412604
  • Gomes, C., Almeida, L., & Nunez, J. (2017). Rationale and Applicability of Exploratory Structural Equation Modeling (ESEM) in psychoeducational contexts. Psicothema, 29(3), 396-401.
  • Graham, J. W. (2012). Missing data: Analysis and design. Springer Science & Business Media.
  • Guay, F., Morin, A., Litalien, D., Valois, P., & Vallerand, R. (2015). Application of Exploratory Structural Equation Modeling to Evaluate the Academic Motivation Scale. The Journal of Experimental Education, 83(1), 51-82. https://doi.org/10.1080/00220973.2013.876231
  • Guo, J. M. (2019). A Systematic evaluation and comparison between exploratory structural equation modeling and bayesian structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 26, 529-556. https://doi.org/10.1080/10705511.2018.1554999
  • Guo, J., Parker, H., Dicke, P., Lüdtke, T., & Diallo, T. (2019). A systematic evaluation and comparison between exploratory structural equation modeling and bayesian structural equation modeling. Structural Equation Modeling: A Multidisciplinary Journal, 26 (4), 529-556. https://doi.org/10.1080/10705511.2018.1554999
  • Güngör, M & Atalay Kabasakal, K. (2020). Investigation of measurement invariance of science motivation and self-efficacy model: PISA 2015 Turkey sample. International Journal of Assessment Tools in Education, 7(2), 207-222. https://doi.org/10.21449/ijate.730481
  • Horn, J. L., & McArdle, J. J. (1992). A practical and theoretical guide to measurement invariance in aging research. Experimental Aging Research, 18(3), 117-144. https://doi.org/10.1080/03610739208253916
  • Hu, L., & Bentler, P. (1995). Evaluating model fit. In R. H. Hoyle (Ed.), Structural equation modeling: Concepts, issues, and applications (pp. 76−99). Sage.
  • Jennrich, R. I. and Sampson, P. F. (1966). Rotation to simple loadings. Psychometrika, 31(3), 313–323. https://link.springer.com/article/10.1007/BF02289465
  • Jöreskog, K.G. (1969). A general approach to confirmatory maximum likelihood factor analysis. Psychometrika, 34, 183–202.
  • Joshanloo, M., & Lamers, S. M. (2016). Reinvestigation of the factor structure of the MHC-SF in the Netherlands: Contributions of exploratory structural equation modeling. Personality and Individual Differences, 97, 8 12. https://doi.org/10.1016/j.paid.2016.02.089
  • Jung, J. Y. (2019): A Comparison of CFA and ESEM approaches using TIMSS science attitudes items: evidence from factor structure and measurement invariance. [Master’s Thesis, Purdue University]. Purdue University Graduate School, Department of Educational Studies, https://doi.org/10.25394/PGS.7995890.v1
  • Kıbrıslıoğlu, N. (2015). The investigation of measurement invariance PISA 2012 mathematics learning model according to culture and gender: Turkey-China (Shangai)-Indonesia [Master's Thesis]. Hacettepe University.
  • Kline, R. B. (2005). Methodology in the social sciences. Principles and practice of structural equation modeling (2nd ed.). Guilford Press.
  • Kristjansson, S. D., Pergadia, M. L., Agrawal, A., Lessov- Schlaggar, C. N., McCarthy, D. M., Piasecki, T. M. & Heath, A. C. (2011). Smoking outcome expectancies in young adult female smokers: Individual differences and associations with nicotine dependence in a genetically informative sample. Drug and Alcohol Dependence, 116, 37 44. https://doi.org/10.1016/j.drugalcdep.2010.11.017
  • Krueger, R. F., Markon, K. E., Patrick, C. J., Benning, S. D., & Kramer, M. D. (2007). Linking antisocial behavior, substance use, and personality: an integrative quantitative model of the adult externalizing spectrum. Journal of Abnormal Psychology, 116(4), 645. https://doi.org/10.1037/0021-843X.116.4.645
  • Little, T. D. (2013). Longitudinal structural equation modeling. Guilford press.
  • Little, R. J., & Rubin, D. B. (1987). Statistical analysis with missing data. John Wiley & Sons.
  • Marsh, H. W., Abduljabbar, A. S., Abu-Hilal, M. M., Morin, A. J. S., Abdelfattah, F., Leung, K. C., Xu, M. K., Nagengast, B., & Parker, P. (2013). Factorial, convergent, and discriminant validity of timss math and science motivation measures: A comparison of Arab and Anglo-Saxon countries. Journal of Educational Psychology, 105(1), 108–128. https://doi.org/10.1037/a0029907
  • Marsh, H. W., Hau, K.-T., & Grayson, D. (2005). Goodness of Fit in Structural Equation Models. In A. Maydeu-Olivares & J. J. McArdle (Eds.), Multivariate applications book series. Contemporary psychometrics: A festschrift for Roderick P. McDonald (p. 275–340). Lawrence Erlbaum Associates Publishers.
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There are 68 citations in total.

Details

Primary Language English
Subjects Studies on Education
Journal Section Articles
Authors

Şeyma Uyar 0000-0002-8315-2637

Publication Date December 4, 2021
Submission Date September 18, 2020
Published in Issue Year 2021 Volume: 8 Issue: 4

Cite

APA Uyar, Ş. (2021). Factor structure and measurement invariance of the TIMSS 2015 mathematics attitude questionnaire: Exploratory structural equation modelling approach. International Journal of Assessment Tools in Education, 8(4), 855-871. https://doi.org/10.21449/ijate.796862

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