Teacher's Corner
The Macs Approach to Testing for Multigroup Invariance of a Second-Order Structure: A Walk Through the Process
Bibliographic Data
| ID | 23374080 |
|---|---|
| Authors | Barbara M Byrne, Sunita Mahtani Stewart (0000-0002-0642-781X) |
| Year | 2006 |
| Volume | 13 |
| Issue | 2 |
| Pages | 287-321 |
| Publication date | 2006-04-28 |
| Peer Reviewed | Yes |
| Open Access | No |
| Type | ARTICLE |
| Venue | Structural Equation Modeling: A Multidisciplinary Journal (JOURNAL) |
| Journal identifiers | ISSN: 1070-5511 • E-ISSN: 1532-8007 |
| Publisher | Informa UK Limited (PUBLISHER • GB) |
| DOI | 10.1207/s15328007sem1302_7 |
| OpenAlex | W2240216748 |
| Language | EN |
| Citations received | 106 |
| References cited | 63 |
The overarching intent of this article is to exemplify strategies associated with tests for measurement invariance that are uncommonly applied and reported in the extant literature. Designed within a pedagogical framework, the primary purposes are 3-fold and illustrate (a) tests for measurement invariance based on the analysis of means and covariance structures (MACS), (b) use of the MACS approach in testing for an invariant higher order factor structure, and (c) tests for latent mean differences relative to both levels of a higher order factor structure. Addressing additional application limitations, the secondary purposes are 2-fold and illustrate (a) determination of invariance based on two substantially different sets of criteria and (b) interpretation of noninvariant measurement items within the context of an item response theory perspective. We are hopeful that readers will find the didactic approach to be helpful in gaining a better understanding of the invariance-testing process.
Confirmatory factor analysis · Context (archaeology) · Covariance · Econometrics · Extant taxon · Invariant (physics) · Machine learning · Measurement invariance · Order (exchange) · Perspective (graphical) · Process (computing) · Statistics · Structural equation modeling · Advanced Statistical Modeling Techniques · Artificial Intelligence · Behavioral and Psychological Studies · Computer Science · Mathematics · Psychology · Psychometric Methodologies and Testing
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| Unique citing works | 106 |
|---|---|
| Citations per year | 5,58 |
| Citation span | 2007 - 2026 (20) |
| Citation velocity | current |
| Highly cited | Yes |
| Citation types | Neutral: 97 |