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Model Selection of Nested and Non-Nested Item Response Models Using Vuong Tests


Schneider, Lennart; Chalmers, R Philip; Debelak, Rudolf; Merkle, Edgar C (2020). Model Selection of Nested and Non-Nested Item Response Models Using Vuong Tests. Multivariate Behavioral Research, 55(5):664-684.

Abstract

In this paper, we apply Vuong's general approach of model selection to the comparison of nested and non-nested unidimensional and multidimensional item response theory (IRT) models. Vuong's approach of model selection is useful because it allows for formal statistical tests of both nested and non-nested models. However, only the test of non-nested models has been applied in the context of IRT models to date. After summarizing the statistical theory underlying the tests, we investigate the performance of all three distinct Vuong tests in the context of IRT models using simulation studies and real data. In the non-nested case we observed that the tests can reliably distinguish between the graded response model and the generalized partial credit model. In the nested case, we observed that the tests typically perform as well as or sometimes better than the traditional likelihood ratio test. Based on these results, we argue that Vuong's approach provides a useful set of tools for researchers and practitioners to effectively compare competing nested and non-nested IRT models.

Abstract

In this paper, we apply Vuong's general approach of model selection to the comparison of nested and non-nested unidimensional and multidimensional item response theory (IRT) models. Vuong's approach of model selection is useful because it allows for formal statistical tests of both nested and non-nested models. However, only the test of non-nested models has been applied in the context of IRT models to date. After summarizing the statistical theory underlying the tests, we investigate the performance of all three distinct Vuong tests in the context of IRT models using simulation studies and real data. In the non-nested case we observed that the tests can reliably distinguish between the graded response model and the generalized partial credit model. In the nested case, we observed that the tests typically perform as well as or sometimes better than the traditional likelihood ratio test. Based on these results, we argue that Vuong's approach provides a useful set of tools for researchers and practitioners to effectively compare competing nested and non-nested IRT models.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:06 Faculty of Arts > Institute of Psychology
Dewey Decimal Classification:150 Psychology
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Social Sciences & Humanities > Experimental and Cognitive Psychology
Social Sciences & Humanities > Arts and Humanities (miscellaneous)
Language:English
Date:2 September 2020
Deposited On:12 Nov 2019 14:12
Last Modified:21 Jun 2024 02:16
Publisher:Taylor & Francis
ISSN:0027-3171
OA Status:Closed
Publisher DOI:https://doi.org/10.1080/00273171.2019.1664280
PubMed ID:31530187
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