We consider the problem of dose-finding where subjects can be stratified into two populations with possibly different susceptibility to toxicity. The goal is to find the maximally tolerated dose for each population. We propose a non-parametric design for this problem. Toxicity is estimated using the bivariate isotonic regression estimator. The new design is compared with the two-sample continual reassessment method.
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Ivanova et al. (2005) studied this question.
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