Dose‐Response Models for Correlated Multinomial Data from Developmental Toxicity Studies
Y. Zhu,
D. Krewski and
W. H. Ross
Journal of the Royal Statistical Society Series C, 1994, vol. 43, issue 4, 583-598
Abstract:
Developmental anomalies induced by toxic chemicals may be identified by using laboratory experiments with rats and mice. This paper examines dose‐response models for correlated multinomial data arising in studies of developmental toxicity. A hierarchical probability structure is used to unify and extend previous methods of modelling correlated binary data arising in such studies. Generalized estimating equations in conjunction with an extended Dirichlet‐multinomial covariance function are used to estimate jointly the regression parameters in Weibull dose‐response models for both embryolethality and fetal malformations. Quadratic estimating equations are used to estimate the overdispersion (correlation) parameters. Maximum likelihood estimates based on a Dirichlet‐multinomial distribution are also computed for comparison. The modelling procedures proposed are illustrated through the analysis of data from a recent large scale study of the developmental toxicity of the herbicide 2,4,5‐trichlorophenoxyacetic acid.
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:bla:jorssc:v:43:y:1994:i:4:p:583-598
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