The Invariance Problem in Factor Analysis
Bibliographic Data
| ID | 20282003 |
|---|---|
| Authors | J P Guilford (University of Southern California, corresponding author) |
| Year | 1977 |
| Volume | 37 |
| Issue | 1 |
| Pages | 11-19 |
| Publication date | 1977-04-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Educational and Psychological Measurement (JOURNAL) |
| Journal identifiers | ISSN: 0013-1644 • E-ISSN: 1552-3888 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/001316447703700102 |
| OpenAlex | W2089386776 |
| Language | EN |
| Citations received | 4 |
| References cited | 6 |
The aim was to determine how accurately the varimax and promax methods of rotation of axes would reproduce known factor matrices. Thirteen factor matrices were contrived, varying widely in percentage of univocal tests. It was found that only when all tests are univocal, or nearly so, could one be reasonably confident that an obtained factor matrix faithfully reproduces a contrived matrix. In some analyses, the pictures of factor structures were distorted and a few factors were entirely lost. Implications for empirical factor analyses are pointed out, with some suggested remedies
Cronbach's alpha · Econometrics · Factor (programming language) · Factor analysis · Geometry · Matrix (chemical analysis) · Psychometrics · Rotation (mathematics) · Statistics · Varimax rotation · Computer Science · Mathematics · Multi-Criteria Decision Making · Optimal Experimental Design Methods · Psychology · Statistical and numerical algorithms
| Unique citing works | 4 |
|---|---|
| Citations per year | 0,08 |
| Citation span | 1978 - 2016 (39) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 4 |