We compare mixed effects logistic regression models for binary response data with two nested levels of clustering. The comparison of these models occurs in the context of developmental toxicity data sets, for which multiple types of outcomes (first level) are measured on each rat pup (second level)
A model for a multivariate binary response with covariates based on compatible conditionally specified logistic regressions
โ Scribed by Harry Joe; Ying Liu
- Book ID
- 104302406
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 438 KB
- Volume
- 31
- Category
- Article
- ISSN
- 0167-7152
No coin nor oath required. For personal study only.
โฆ Synopsis
A model for a multivariate binary response vector with covariates is obtained. The conditional distribution of each binary response given the other binary responses and the covariates is equivalent to a logistic regression. A simple condition on the regression parameters is necessary and sufficient for the conditional distributions to be compatible, that is, yield a multivariate distribution for the binary response vector. The multivariate model has a wide range of dependence structure for the binary response variables, so it is more generally applicable compared with previous conditional models. The model is applied to a data set from cardiac surgery.
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