We consider modeling the familial correlation between 2 related individuals using a multiple logistic regressive model. It is shown that there is a discrepancy in the marginal probability of the second individual. We investigate the conditions under which this discrepancy can be minimized and show h
An exponential family model for clustered multivariate binary data
β Scribed by Geert Molenberghs; Louise M. Ryan
- Publisher
- John Wiley and Sons
- Year
- 1999
- Tongue
- English
- Weight
- 217 KB
- Volume
- 10
- Category
- Article
- ISSN
- 1180-4009
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β¦ Synopsis
This paper focuses on the analysis of clustered multivariate binary data that arise from developmental toxicity studies. In these studies, pregnant mice are exposed to chemicals to assess possible adverse eects on developing fetuses. Multivariate binary outcomes arise when each fetus in a litter is assessed for the presence of malformations and/or low birth weight. We analyse the data using a multivariate exponential family model which is Β―exible in terms of allowing response rates to depend on cluster size. Maximum likelihood estimation of model parameters and the construction of score tests for dose eect are discussed.
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