JSM 2004 - Toronto

Abstract #301930

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Activity Number: 219
Type: Contributed
Date/Time: Tuesday, August 10, 2004 : 10:30 AM to 12:20 PM
Sponsor: WNAR
Abstract - #301930
Title: Optimal Designs for Contingent Response Models
Author(s): Huwaida S. Rabie*+ and Nancy Flournoy
Companies: University of Missouri and University of Missouri
Address: Dept. of Statistics, Columbia, MO, 65211,
Keywords: dose-response ; continuation-ratio model ; extreme value distribution ; phase I/II clinical trails ; canonical designs
Abstract:

We study D- and C-optimal designs for the contingent response models of Li, Durham, and Flournoy. In the contingent response model, there are two types of failure. We call one failure type toxicity and the other disease failure. No toxicity and no disease failure is a success or cure. We assume disease failures are contingent on toxicity in that they are only observed in the absence of toxicity. We also assume the probability of toxicity increases with the dose, and the probability of disease failure given no toxicity decreases with dose. Interest is in finding C-optimal designs for estimating the dose that maximizes the cure probability. We find canonical optimal designs and show that other designs in the location/scale family can be obtained from a canonical design. We use the positive/negative extreme value contingent response model to provide a specific illustration of the D- and C-optimal designs.

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