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Statistica Sinica 4(1994), 265-274


DOSE-RESPONSE MODELING OF TRINOMIAL RESPONSES

FROM DEVELOPMENTAL EXPERIMENTS


James J. Chen and Lung-An Li


National Center for Toxicological Research and Academia Sinica


Abstract: Two frequently used toxicity endpoints for evaluation of developmental effects are the proportion of deaths/resorptions and the proportion of malformations. Either a double beta-binomial model or a Dirichlet-trinomial model can be used to model the two developmental endpoints in the presence of intralitter correlation. Both models assume that the proportion of death/resorption and the proportion of malformation are two independent developmental effects. A quasi-likelihood model is proposed under both double beta-binomial and Dirichlet-trinomial variations. This approach allows for modeling a dependency between the two proportions. Two examples are given for illustration.



Key words and phrases: Beta-binomial, Dirichlet-trinomial, intralitter orrelation, quasi-likelihood.



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