Power and Precision in Confirmatory Factor Analytic Tests of Measurement Invariance
Authors:
- 23 October 2007
- journal article
- research article
- Published by Taylor & Francis in Structural Equation Modeling: A Multidisciplinary Journal
- Vol. 14 (4) , 611-635
Abstract
This study investigates the effects of sample size, factor overdetermination, and communality on the precision of factor loading estimates and the power of the likelihood ratio test of factorial invariance in multigroup confirmatory factor analysis. Although sample sizes are typically thought to be the primary determinant of precision and power, the degree of factor overdetermination and the level of indicator communalities also play important roles. Based on these findings, no single rule of thumb regarding the ratio of sample size to number of indicators can ensure adequate power to detect a lack of measurement invariance.Keywords
This publication has 31 references indexed in Scilit:
- Problems With Item Parceling for Confirmatory Factor Analytic Tests of Measurement InvarianceOrganizational Research Methods, 2006
- Applications of Mean and Covariance Structure Analysis: Integrating Correlational and Experimental ApproachesOrganizational Research Methods, 2004
- Evaluating Goodness-of-Fit Indexes for Testing Measurement InvarianceStructural Equation Modeling: A Multidisciplinary Journal, 2002
- The Conceptualization and Analysis of Change Over Time: An Integrative Approach Incorporating Longitudinal Mean and Covariance Structures Analysis (LMACS) and Multiple Indicator Latent Growth Modeling (MLGM)Organizational Research Methods, 1998
- Structural equation modelling in perspectiveJournal of Organizational Behavior, 1995
- Critical comments on applying covariance structure modelingJournal of Organizational Behavior, 1995
- A Central Question in Cross-Cultural Research: Do Employees of Different Cultures Interpret Work-related Measures in an Equivalent Manner?Journal of Management, 1994
- Power of the Likelihood Ratio Test in Multiple Group Confirmatory Factor Analysis under Partial Measurement InvarianceEducational and Psychological Measurement, 1989
- Study of the measurement bias of two standardized psychological tests.Journal of Applied Psychology, 1987
- Scrutinizing psychological tests: Measurement equivalence and equivalent relations with external variables are the central issues.Psychological Bulletin, 1984