Probits of Mixtures
Copyright policy )Probits of Mixtures
The tolerances of individuals (insects, parasites) in a population have a frequency or probability distribution called a tolerance distribution. Many tolerance distributions in bioassay studies can be the result of a rather heterogeneous population of individuals and can often be modelled as a mixture of a number of standard unimodal distributions. A probit analysis can be generalized to the case where the tolerance distribution is a mixture of location and scale parameter distributions. In this article, the existence and determination of the maximum likelihood estimates are investigated. An expectation-maximization (EM) algorithm for probits of mixtures is developed and it is shown that by application of the EM algorithm, the problem of probits of mixtures can be separated into a series of probits of individual component tolerance distributions.
logits, tolerance distribution, probit analysis, Sheep Diseases, Models, Biological, Trichostrongyloidiasis, Applications of statistics to biology and medical sciences; meta analysis, Ostertagiasis, maximum likelihood estimates, Thiabendazole, Animals, EM algorithm, Models, Statistical, Sheep, Point estimation, Ostertagia, mixture, Oocytes, Female, Algorithms
logits, tolerance distribution, probit analysis, Sheep Diseases, Models, Biological, Trichostrongyloidiasis, Applications of statistics to biology and medical sciences; meta analysis, Ostertagiasis, maximum likelihood estimates, Thiabendazole, Animals, EM algorithm, Models, Statistical, Sheep, Point estimation, Ostertagia, mixture, Oocytes, Female, Algorithms
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