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Biometrika 1975 62(2):321-328; doi:10.1093/biomet/62.2.321
© 1975 by Biometrika Trust
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Design of carcinogenesis experiments using the Weibull distribution

G. BERRY

Medical Research Council Pneumoconiosis Unit, Llandough Hospital Penarth, South Glamorgan

Pike (1966) advocated the use of the Weibull distribution for the analysis of carcinogensis experiments. In this paper the implications of accepting Pike's model are considered from the viewpoint of experimental design. Two design problems am discussed as illnstrations of the methodology. The first concerns whether a time has been reached when it is optimum to terminate an experiment by sacrificing all surviving animals. This question is considered in terms of return per unit cost, and it is shown that the optimum strategy is to allow all animals to live out their lives. The second example is the design of an experiment to test if the carcinogenic effect of asbestos is related to the age at injection, by allocating animals to two groups, one to be injected immediately and the other when older. Under certain assumptions it is possible to compute the optimum delay period before the second group is injected and the optimum distribution of animals between the two groups.

Key Words: Careinogenesis • Experimental design • Likelihood ratio test • Weibull distribution


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