Hildebrandt, Andrea; Wilhelm, Oliver; Robitzsch, Alexander:

Complementary and competing factor analytic approaches for the investigation of measurement invariance

In: Review of psychology : international journal of Croatian Psychological Association., Jg. 16 (2009) ; Nr. 2, S. 87-102
ISSN: 1330-6812
Zeitschriftenaufsatz / Fach: Psychologie
Fakultät für Bildungswissenschaften » Institut für Psychologie
Sample-related invariance is an important topic in psychometric research. The generalizability of findings in
a broad range of application samples requires equivalence of interpretations based on the measurement outcomes
across respective samples. Contextual factors like gender, age, culture, ethnicity, socio-economical status etc. may
affect the meaning and interpretation of psychological measures. Sample-related invariance is frequently investigated
using Multiple-Group Mean and Covariance Structure (MGMCS) analyses. This method builds upon natural
or artifical categories of contextual variables. Many contextual variables are continuous variables and their categorization
is associated with an information loss and potentially overly simplistic data analyses. We present and discuss
two complementary analytical approaches – Latent Moderated Structural (LMS) Equations and Local Structural
Equation Models (LSEM). Both approaches allow treating contextual factors as continuous variables and are appropriate
to detect non-linear relations. The use of these methods is exemplified based on real data. We investigated
measurement equivalence of a battery of cognitive tests across age (N = 448; age range 18-82 years). Based on a
higher-order factor model of cognitive abilities factorial equivalence could be established – contradicting the agededifferentiation
hypothesis. Advantages and disadvantages of MGMCS, LMS, and LSEM and further implementations
beyond aging-research are discussed.

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