Universität zu Köln

Pokropek, Artur ORCID: 0000-0002-5899-2917, Davidov, Eldad ORCID: 0000-0002-3396-969X and Schmidt, Peter (2019). A Monte Carlo Simulation Study to Assess The Appropriateness of Traditional and Newer Approaches to Test for Measurement Invariance. Struct. Equ. Modeling, 26 (5). S. 724 - 745. ABINGDON: ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD. ISSN 1532-8007

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Abstract

Several structural equation modeling (SEM) strategies were developed for assessing measurement invariance (MI) across groups relaxing the assumptions of strict MI to partial, approximate, and partial approximate MI. Nonetheless, applied researchers still do not know if and under what conditions these strategies might provide results that allow for valid comparisons across groups in large-scale comparative surveys. We perform a comprehensive Monte Carlo simulation study to assess the conditions under which various SEM methods are appropriate to estimate latent means and path coefficients and their differences across groups. We find that while SEM path coefficients are relatively robust to violations of full MI and can be rather effectively recovered, recovering latent means and their group rankings might be difficult. Our results suggest that, contrary to some previous recommendations, partial invariance may rather effectively recover both path coefficients and latent means even when the majority of items are noninvariant. Although it is more difficult to recover latent means using approximate and partial approximate MI methods, it is possible under specific conditions and using appropriate models. These models also have the advantage of providing accurate standard errors. Alignment is recommended for recovering latent means in cases where there are only a few noninvariant parameters across groups.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Pokropek, Artur UNSPECIFIED orcid.org/0000-0002-5899-2917 UNSPECIFIED Davidov, Eldad UNSPECIFIED orcid.org/0000-0002-3396-969X UNSPECIFIED Schmidt, Peter UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-141778
DOI:	10.1080/10705511.2018.1561293
Journal or Publication Title:	Struct. Equ. Modeling
Volume:	26
Number:	5
Page Range:	S. 724 - 745
Date:	2019
Publisher:	ROUTLEDGE JOURNALS, TAYLOR & FRANCIS LTD
Place of Publication:	ABINGDON
ISSN:	1532-8007
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CATEGORIZATION; EQUIVALENCE; COVARIANCE; VARIABLES; MODELS; IMPACT Multiple languages Mathematics, Interdisciplinary Applications; Social Sciences, Mathematical Methods Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/14177