Brooks, S.P. and Morgan, B.J.T. and Ridout, M.S. and Pack, S.E. (1997) Finite mixture models for proportions. Biometrics, 53 (3). pp. 1097-1115. ISSN 0006-341X.
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Abstract
Six data sets recording fetal control mortality in mouse litters are presented. The data are clearly overdispersed, and a standard approach would be to describe the data by means of a beta-binomial model or to use quasi-likelihood methods. For five of the examples, we show that the beta-binomial model provides a reasonable description but that the fit can be significantly improved by using a mixture of a beta-binomial model with a binomial distribution. This mixture provides two alternative solutions, in one of which the binomial component indicates a high probability of death but is selected infrequently; this accounts for outlying litters with high mortality. The influence of the outliers on the beta-binomial fits is also demonstrated. The location and nature of the two main maxima to the likelihood are investigated through profile log-likelihoods. Comparisons are made with the performance of finite mixtures of binomial distributions.
| Item Type: | Article |
|---|---|
| Depositing User: | T. Nasir |
| Date Deposited: | 28 Oct 2009 18:19 |
| Last Modified: | 28 Oct 2009 18:19 |
| Resource URI: | http://kar.kent.ac.uk/id/eprint/18310 (The current URI for this page, for reference purposes) |
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