Comparing Results of an Exact Versus an Approximate (Bayesian) Measurement Invariance Test: A Cross-Country Illustration with a New Scale to Measure 19 Human Values

Cieciuch, J., Davidov, E., Schmidt, P., Algesheimer, R. & Schwartz, S. H. (2014): Comparing results of an exact versus an approximate (Bayesian) measurement invariance test: A cross-country illustration with a scale to measure 19 human values, Frontiers in Psychology, 5 (982), 1-10. DOI: 10.3389/fps

31 Pages Posted: 21 Jul 2015 Last revised: 20 Apr 2018

See all articles by Jan Cieciuch

Jan Cieciuch

University of Zurich; University of Finance and Management

Eldad Davidov

University of Zurich

Peter Schmidt

University of Giessen; National Research University Higher School of Economics

René Algesheimer

University of Zurich

Shalom H. Schwartz

Hebrew University of Jerusalem - Department of Psychology; National Research University Higher School of Economics

Date Written: September 8, 2014

Abstract

One of the most frequently used procedures for measurement invariance testing is the multigroup confirmatory factor analysis (MGCFA). Muthén and Asparouhov (2013) recently proposed a new approach to test for approximate rather than exact measurement invariance using Bayesian MGCFA. Approximate measurement invariance permits small differences between parameters, otherwise constrained to be equal in the classical exact approach. However, extant knowledge about how results of approximate measurement invariance tests compare to the results of the exact measurement invariance test is missing. We address this gap by comparing results of exact versus approximate (Bayesian) cross-country measurement invariance tests of the revised scale to measure human values.

Several studies that measured basic human values with the Portrait Values Questionnaire (PVQ) reported problems of measurement noninvariance (especially scalar noninvariance) across countries (e.g., Davidov, Schmidt, Schwartz, 2008). Schwartz et al. (2012) proposed a refined value theory and an instrument (PVQ-5X) to measure 19 more narrowly defined values. Cieciuch, Davidov, Vecchione, Beierlein and Schwartz (2014) tested its measurement invariance properties across eight countries and showed that the PVQ-5X is substantially more cross-country invariant than the old PVQ version to measure 10 values. They established exact scalar measurement invariance for 10 values. The current study applied the approximate measurement invariance and established approximate scalar measurement invariance even for all 19 values.

Keywords: multigroup confirmatory factor analysis, exact measurement invariance, approximate measurement invariance, configural metric scalar measurement invariance, Revised Portrait Values Questionnaire, Bayesian analysis

Suggested Citation

Cieciuch, Jan and Davidov, Eldad and Schmidt, Peter and Algesheimer, René and Schwartz, Shalom H., Comparing Results of an Exact Versus an Approximate (Bayesian) Measurement Invariance Test: A Cross-Country Illustration with a New Scale to Measure 19 Human Values (September 8, 2014). Cieciuch, J., Davidov, E., Schmidt, P., Algesheimer, R. & Schwartz, S. H. (2014): Comparing results of an exact versus an approximate (Bayesian) measurement invariance test: A cross-country illustration with a scale to measure 19 human values, Frontiers in Psychology, 5 (982), 1-10. DOI: 10.3389/fps. Available at SSRN: https://ssrn.com/abstract=2633887

Jan Cieciuch (Contact Author)

University of Zurich ( email )

Rämistrasse 71
Zürich, CH-8006
Switzerland

University of Finance and Management ( email )

Pawia 55
Warsaw, 01-030
Poland

Eldad Davidov

University of Zurich ( email )

Rämistrasse 71
Zürich, CH-8006
Switzerland

Peter Schmidt

University of Giessen ( email )

Betriebswirtschaftslehre VII
Giessen, WY 35394
Germany

National Research University Higher School of Economics

Myasnitskaya street, 20
Moscow, Moscow 119017
Russia

René Algesheimer

University of Zurich ( email )

Department of Business Administration
Andreasstrasse 15
Zurich, 8050
Switzerland

HOME PAGE: http://www.market-research.uzh.ch

Shalom H. Schwartz

Hebrew University of Jerusalem - Department of Psychology ( email )

National Research University Higher School of Economics ( email )

Myasnitskaya street, 20
Moscow, Moscow 119017
Russia

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