Quotation Koller, Ingrid, Maier, Marco, Hatzinger, Reinhold. 2015. An Empirical Power Analysis of Quasi-Exact Tests for the Rasch Model: Measurement Invariance in Small Samples. Methodology: European Journal of Research Methods for the Behavioral and Social Sciences 11 (2): S. 45-54.


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Abstract

Measurement invariance is not only an important requirement of tests but also a central point in the examination of the Rasch model. Ponocny (2001) suggested quasi-exact tests for small samples which allow for formulating test-statistics based on matrices obtained using Monte Carlo methods. The purpose of the present study was to analyze the type-I error rates and the empirical power of two test-statistics for the assumption of measurement invariance in comparison with Andersen's likelihood ratio test (1973). Each simulation was based on 10,000 replications and was a function of sample size (n = 30, 50, 100, 200), test length (k = 5, 9, 17), varying number of items exhibiting model violation, magnitude of violation, and different ability distributions. The results indicate that it is possible to detect large model violations on item level with samples of n = 50 or n = 100, and even weak violations with n = 200. Additionally, the results showed that it is possible to investigate very small samples where a parametric approach is not possible, which is one of the most important advantages of quasi-exact tests.

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Publication's profile

Status of publication Published
Affiliation WU
Type of publication Journal article
Journal Methodology: European Journal of Research Methods for the Behavioral and Social Sciences
Citation Index SSCI
Language English
Title An Empirical Power Analysis of Quasi-Exact Tests for the Rasch Model: Measurement Invariance in Small Samples
Volume 11
Number 2
Year 2015
Page from 45
Page to 54
Reviewed? Y
DOI http://dx.doi.org/10.1027/1614-2241/a000090

Associations

People
Maier, Marco (Former researcher)
Hatzinger, Reinhold (Former researcher)
External
Koller, Ingrid
Organization
Institute for Statistics and Mathematics IN (Details)
Research areas (Ă–STAT Classification 'Statistik Austria')
1105 Computer software (Details)
1162 Statistics (Details)
5509 Psychological methodology (Details)
5700 Applied statistics, social statistics (Details)
5701 Applied statistics (Details)
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