Testing for the Equivalence of Factor Covariance and Mean Structures: The Issue of Partial Measurement Invariance

Addresses issues related to partial measurement invariance using a tutorial approach based on the LISREL confirmatory factor analytic model. Specifically, we demonstrate procedures for (a) using "sensitivity analyses" to establish stable and substantively well-fitting baseline models, (b)...

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Bibliographic Details
Published in:Psychological bulletin 1989-05, Vol.105 (3), p.456-466
Main Authors: Byrne, Barbara M, Shavelson, Richard J, Muthén, Bengt
Format: Article
Language:English
Subjects:
Biological and medical sciences
Factor Analysis
Fundamental and applied biological sciences. Psychology
Human
Interaction Variance
Mathematical Modeling
Measurement Invariance
Psychology
Psychology. Psychoanalysis. Psychiatry
Psychology. Psychophysiology
Psychometrics. Statistics. Methodology
Statistics. Mathematics
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Summary:Addresses issues related to partial measurement invariance using a tutorial approach based on the LISREL confirmatory factor analytic model. Specifically, we demonstrate procedures for (a) using "sensitivity analyses" to establish stable and substantively well-fitting baseline models, (b) determining partially invariant measurement parameters, and (c) testing for the invariance of factor covariance and mean structures, given partial measurement invariance. We also show, explicitly, the transformation of parameters from an all- X to an all- Y model specification, for purposes of testing mean structures. These procedures are illustrated with multidimensional self-concept data from low ( n = 248) and high ( n = 582) academically tracked high school adolescents.
ISSN:0033-2909
1939-1455
DOI:10.1037/0033-2909.105.3.456