Abstract
Heywood cases represent the most common form of a series of related problems in confirmatory factor analysis and structural equation modeling. Other problems include factor loadings and factor correlations outside the usual range, large variances of parameter estimates, and high correlations between parameter estimates. The concept of empirical underidentification is used here to show how these problems can arise, and under what conditions they can be controlled. The discussion is centered around examples showing how small factor loadings, factor correlations near zero, and factor correlations near one can lead to empirical underidentification.
Keywords
Affiliated Institutions
Related Publications
Teacher's Corner: Testing Measurement Invariance of Second-Order Factor Models
We illustrate testing measurement invariance in a second-order factor model using a quality of life dataset (n = 924). Measurement invariance was tested across 2 groups at a set...
Sensitivity of Goodness of Fit Indexes to Lack of Measurement Invariance
Two Monte Carlo studies were conducted to examine the sensitivity of goodness of fit indexes to lack of measurement invariance at 3 commonly tested levels: factor loadings, inte...
A Monte-Carlo Study of Confirmatory Factor Analytic Tests of Measurement Equivalence/Invariance
In recent years, confirmatory factor analytic (CFA) techniques have become the most common method of testing for measurement equivalence/invariance (ME/I). However, no study has...
A Review and Synthesis of the Measurement Invariance Literature: Suggestions, Practices, and Recommendations for Organizational Research
The establishment of measurement invariance across groups is a logical prerequisite to conducting substantive cross-group comparisons (e.g., tests of group mean differences, inv...
Consistent Partial Least Squares for Nonlinear Structural Equation Models
Partial Least Squares as applied to models with latent variables, measured indirectly by indicators, is well-known to be inconsistent. The linear compounds of indicators that PL...
Publication Info
- Year
- 1984
- Type
- article
- Volume
- 13
- Issue
- 1
- Pages
- 109-119
- Citations
- 450
- Access
- Closed
External Links
Social Impact
Social media, news, blog, policy document mentions
Citation Metrics
Cite This
Identifiers
- DOI
- 10.1177/0049124184013001004