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Title: The Effects of Collapsing Ordered Categorical Variables on Tests of Measurement Invariance Open Access Deposited

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Abstract
  • Cross-cultural comparisons of latent variable means demands equivalent loadings and intercepts or thresholds. Although equivalence generally emphasizes items as originally designed, researchers sometimes modify response options in categorical items. For example, substantive research interests drive decisions to reduce the number of item categories. Further, categorical multiple-group confirmatory factor analysis (MG-CFA) methods generally require that the number of indicator categories is equal across groups; however, categories with few observations in at least one group can cause challenges. In the current paper, we examine the impact of collapsing ordinal response categories in MG-CFA. An empirical analysis and a complementary simulation study suggests meaningful impacts on model fit due to collapsing categories. We also found reduced scale reliability, measured as a function of Fisher’s information. Our findings further illustrate artifactual fit improvement, pointing to the possibility of data dredging for improved model-data consistency in challenging invariance contexts with large numbers of groups.
Methodology
  • n/a
Description
  • This is supplementary material, including appendices, data, and syntax to reproduce all empirical and simulation results.
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  • Other Funding Agency
Other Funding agency
  • Norwegian Research Council, FINNUT program
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Date coverage
  • 2018-10-26
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Last modified
  • 10/05/2020
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  • Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
To Cite this Work:
Rutkowski, L., Svetina, D., Liaw, Y. The Effects of Collapsing Ordered Categorical Variables on Tests of Measurement Invariance [Data set]. Indiana University - DataCORE.

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Files (Count: 2; Size: 11.1 MB)

Thumbnail Title Original Upload Last Modified File Size Access Actions
Appendices.pdf Appendices.pdf 2020-10-05 2020-10-05 1.03 MB Open Access
All_Supplementary_Materials.zip All_Supplementary_Materials.zip 2020-10-05 2020-10-05 10.1 MB Open Access