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In 1966, Pike suggested that continuous carcinogenesis experiments be analyzed by fitting appropriate Weibull distributions. Unfortunately, the Weibull distribution seems nearly degenerate with respect to the two of its three parameters which do not depend on treatment, and one of these may therefore have to be fixed arbitrarily. Since both degenerate parameters have definite physical meaning, the choice of a sensible pair of values is possible. When this is done, Pike's method is excellent for separating quantitative carcinogenic response from intercurrent mortality. In this paper details are given of how regression type arguments can be used in a multi group experiment to find simple relationships between the treatment applied to each group and the value of the third (treatment dependent) Weibull coefficient for that group.
Pető et al. (Sat,) studied this question.