Journal article
A proportional odds model with subject-specific effects for repeated ordered categorical responses
Biometrika, Vol.80(3), pp.527-534
09/1993
DOI: 10.1093/biomet/80.3.527
Abstract
SUMMARY Suppose subjects make repeated responses on the same ordered categorical scale. We propose a generalization of the Rasch model that expresses the cumulative logit of the response distribution using subject parameters and a proportional odds structure for item effects. Parameters in the model describe subject-specific, rather than population averaged, effects. Consistent estimation of the effects requires eliminating the subject parameters. We accomplish this by simultaneous fitting of Rasch models, conditional on sufficient statistics for those parameters, for the possible binary collapsings of the response. The fitting process uses an improved Newton-Raphson algorithm for fitting generalized loglinear models by maximum likelihood estimation subject to constraints. For the case of two items, we give simple expressions for an effect estimate and its standard error, and suggest a test of marginal homogeneity for ordinal matched paris.
Details
- Title: Subtitle
- A proportional odds model with subject-specific effects for repeated ordered categorical responses
- Creators
- ALAN Agresti - University of FloridaJOSEPH B Lang - Department of Statistics, University of lowa, Iowa Citylowa 52242, U.S.A.
- Resource Type
- Journal article
- Publication Details
- Biometrika, Vol.80(3), pp.527-534
- Publisher
- Oxford University Press
- DOI
- 10.1093/biomet/80.3.527
- ISSN
- 0006-3444
- eISSN
- 1464-3510
- Language
- English
- Date published
- 09/1993
- Academic Unit
- Statistics and Actuarial Science; Biostatistics
- Record Identifier
- 9984257614402771
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