Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel data

This article addresses the approximate approach to assess measurement invariance with (longitudinal) confirmatory factor analysis. Approximate measurement invariance uses zero-mean, small-variance Bayesian priors to allow minor differences in estimated parameters across time, while still maintain...

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Main Authors: Daniel Seddig, Heinz Leitgöb
Format: Article
Language:English
Published: European Survey Research Association 2018-04-01
Series:Survey Research Methods
Subjects:
Online Access:https://ojs.ub.uni-konstanz.de/srm/article/view/7210
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author Daniel Seddig
Heinz Leitgöb
author_facet Daniel Seddig
Heinz Leitgöb
author_sort Daniel Seddig
collection DOAJ
description This article addresses the approximate approach to assess measurement invariance with (longitudinal) confirmatory factor analysis. Approximate measurement invariance uses zero-mean, small-variance Bayesian priors to allow minor differences in estimated parameters across time, while still maintaining comparability of the underlying constructs. The procedure is illustrated for the first time with panel data on young peoples’ preferences to maximize pleasure and enjoy life. Results indicate whereas the traditional approach of exact measurement invariance failed to establish scalar invariance across time and precluded comparisons of latent means, it was possible to establish approximate scalar invariance. Based on a monitoring procedure for model fit and convergence, a rather small prior variance was deemed sufficient to account for minor deviations of cross-time intercept differences from zero.
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spelling doaj.art-80d5777f4f5c45c689363de4590038d52022-12-21T18:58:11ZengEuropean Survey Research AssociationSurvey Research Methods1864-33612018-04-0112110.18148/srm/2018.v12i1.7210Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel dataDaniel SeddigHeinz LeitgöbThis article addresses the approximate approach to assess measurement invariance with (longitudinal) confirmatory factor analysis. Approximate measurement invariance uses zero-mean, small-variance Bayesian priors to allow minor differences in estimated parameters across time, while still maintaining comparability of the underlying constructs. The procedure is illustrated for the first time with panel data on young peoples’ preferences to maximize pleasure and enjoy life. Results indicate whereas the traditional approach of exact measurement invariance failed to establish scalar invariance across time and precluded comparisons of latent means, it was possible to establish approximate scalar invariance. Based on a monitoring procedure for model fit and convergence, a rather small prior variance was deemed sufficient to account for minor deviations of cross-time intercept differences from zero.https://ojs.ub.uni-konstanz.de/srm/article/view/7210confirmatory factor analysisBayesian structural equation modelingapproximate measurement invariancepanel data
spellingShingle Daniel Seddig
Heinz Leitgöb
Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel data
Survey Research Methods
confirmatory factor analysis
Bayesian structural equation modeling
approximate measurement invariance
panel data
title Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel data
title_full Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel data
title_fullStr Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel data
title_full_unstemmed Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel data
title_short Approximate measurement invariance and longitudinal confirmatory factor analysis: concept and application with panel data
title_sort approximate measurement invariance and longitudinal confirmatory factor analysis concept and application with panel data
topic confirmatory factor analysis
Bayesian structural equation modeling
approximate measurement invariance
panel data
url https://ojs.ub.uni-konstanz.de/srm/article/view/7210
work_keys_str_mv AT danielseddig approximatemeasurementinvarianceandlongitudinalconfirmatoryfactoranalysisconceptandapplicationwithpaneldata
AT heinzleitgob approximatemeasurementinvarianceandlongitudinalconfirmatoryfactoranalysisconceptandapplicationwithpaneldata