Arbeitspapier
Testing for Measurement Invariance with Respect to an Ordinal Variable
Researchers are often interested in testing for measurement invariance with respect to an ordinal auxiliary variable such as age group, income class, or school grade. In a factor-analytic context, these tests are traditionally carried out via a likelihood ratio test statistic comparing a model where parameters differ across groups to a model where parameters are equal across groups. This test neglects the fact that the auxiliary variable is ordinal, and it is also known to be overly sensitive at large sample sizes. In this paper, we propose test statistics that explicitly account for the ordinality of the auxiliary variable, resulting in higher power against monotonic violations of measurement invariance and lower power against non-monotonic ones. The statistics are derived from a family of tests based on stochastic processes that have recently received attention in the psychometric literature. The statistics are illustrated via an application involving real data, and their performance is studied via simulation.
- Language
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Englisch
- Bibliographic citation
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Series: Working Papers in Economics and Statistics ; No. 2012-24
- Classification
-
Wirtschaft
Multiple or Simultaneous Equation Models; Multiple Variables: General
Multiple or Simultaneous Equation Models: Classification Methods; Cluster Analysis; Principal Components; Factor Models
Model Evaluation, Validation, and Selection
- Subject
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measurement invariance
ordinal variable
parameter stability
factor analysis
structural equation models
- Event
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Geistige Schöpfung
- (who)
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Merkle, Edgar C.
Fan, Jinyan
Zeileis, Achim
- Event
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Veröffentlichung
- (who)
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University of Innsbruck, Research Platform Empirical and Experimental Economics (eeecon)
- (where)
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Innsbruck
- (when)
-
2012
- Handle
- Last update
-
10.03.2025, 11:45 AM CET
Data provider
ZBW - Deutsche Zentralbibliothek für Wirtschaftswissenschaften - Leibniz-Informationszentrum Wirtschaft. If you have any questions about the object, please contact the data provider.
Object type
- Arbeitspapier
Associated
- Merkle, Edgar C.
- Fan, Jinyan
- Zeileis, Achim
- University of Innsbruck, Research Platform Empirical and Experimental Economics (eeecon)
Time of origin
- 2012
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