Testing for the equivalence of factor covariance and mean structures: The issue of partial measurement invariance.

Abstract

Addresses issues related to partial measurement in variance 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-^fto an all-y model specification, for purposes of testing mean structures. These procedures are illustrated with multidimensional self-concept data from low ( « = 248) and high (n = 582) academically tracked high school adolescents. An important assumption in testing for mean differences is that the measurement (Drasgow & Kanfer, 1985; Labouvie,

Cites (6)

1. Structural equation modeling in practice: A review and recommended two-step approach
   Anderson, James C., Gerbing, David W. · 1988 · Psychological Bulletin
2. Society and the Adolescent Self-Image
   Rosenberg, Morris · 1965
3. Significance tests and goodness of fit in the analysis of covariance structures.
   P. M. Bentler, Douglas G. Bonett · 1980 · Psychological Bulletin
4. Simultaneous Factor Analysis in Several Populations
   Jöreskog, K. G. · 1971 · Psychometrika
5. A comparison of some methodologies for the factor analysis of non‐normal Likert variables
   Muthén, Bengt, Kaplan, David · 1985 · British Journal of Mathematical and Statistical Psychology
6. On the Meaning of within-Factor Correlated Measurement Errors
   Gerbing, David W., Anderson, James C. · 1984 · Journal of Consumer Research

Show all 6 references

Cited by (119)

1. Evaluating Goodness-of-Fit Indexes for Testing Measurement Invariance
   Cheung, Gordon W., Rensvold, Roger B. · 2002 · Structural Equation Modeling: A Multidisciplinary Journal
2. A Review and Synthesis of the Measurement Invariance Literature: Suggestions, Practices, and Recommendations for Organizational Research
   Vandenberg, Robert J., Lance, Charles E. · 2000 · Organizational Research Methods
3. Development and validation of a brief screening version of the Childhood Trauma Questionnaire
   Bernstein, David P, Stein, Judith A, Newcomb, Michael D, Walker, Edward, Pogge, David, Ahluvalia, Taruna, Stokes, John, Handelsman, Leonard, Medrano, Martha, Desmond, David et al. · 2003 · Child Abuse & Neglect
4. Measurement invariance conventions and reporting: The state of the art and future directions for psychological research
   Putnick, Diane L., Bornstein, Marc H. · 2016 · Developmental Review
5. Preliminary Psychometric Properties of the Acceptance and Action Questionnaire–II: A Revised Measure of Psychological Inflexibility and Experiential Avoidance
   Bond, Frank W., Hayes, Steven C., Baer, Ruth A., Carpenter, Kenneth M., Guenole, Nigel, Orcutt, Holly K., Waltz, Tom, Zettle, Robert D. · 2011 · Behavior Therapy

See all 3,890