Key points are not available for this paper at this time.
This paper describes a parametric method for analyzing binary response data from completely randomized experiments in which the experimental units are animal litters. Responses within a litter are assumed to form a set of Bernoulli trials whose success probability varies between litters in the same treatment group according to a two parameter beta distribution. The parameters of the beta distribution for each treatment are estimated by maximum likelihood and treatment differences are tested by asymptotic likelihood ratio tests.
David A. Williams (1975) studied this question.