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Bivariate isotonic design for dose‐finding with ordered groups

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. Copyright © 2005 John Wiley & Sons, Ltd.