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Measurement exchangeability and normal one-factor models
- Source :
- Kelderman, H 2004, ' Measurement exchangeability and normal one-factor models ', Biometrika, vol. 91, no. 3, pp. 738-742 . https://doi.org/10.1093/biomet/91.3.738, Biometrika, 91(3), 738-742. Oxford University Press
- Publication Year :
- 2004
-
Abstract
- The one-factor model restricts the covariance structure of the observed variables on the basis of assumptions about their relationship with an unobserved variable. It is hard to justify these assumptions on substantive or empirical grounds. In this paper, alternative measurement models are proposed that are based on exchangeability of variables after admissible scale transformations. They provide an alternative interpretation of the model and do not involve unobserved variables. They also yield a new one-factor model for sum scales. © 2004 Biometrika Trust.
- Subjects :
- Statistics and Probability
Basis (linear algebra)
Scale (ratio)
Applied Mathematics
General Mathematics
Structure (category theory)
Covariance
Agricultural and Biological Sciences (miscellaneous)
Interpretation (model theory)
Variable (computer science)
Econometrics
Statistics::Methodology
Statistics, Probability and Uncertainty
General Agricultural and Biological Sciences
Mathematics
Factor analysis
Subjects
Details
- Language :
- English
- ISSN :
- 00063444
- Volume :
- 91
- Issue :
- 3
- Database :
- OpenAIRE
- Journal :
- Biometrika
- Accession number :
- edsair.doi.dedup.....9f8720e67d16d09bed68b3fea3009f7c