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Bivariate isotonic design for dose‐finding with ordered groups
Author(s) -
Ivanova Anastasia,
Wang Kai
Publication year - 2005
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/sim.2312
Subject(s) - isotonic regression , bivariate analysis , estimator , isotonic , statistics , mathematics , parametric statistics , population , univariate , econometrics , regression , multivariate statistics , medicine , environmental health
Abstract 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.