Abstract #300667

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JSM 2003 Abstract #300667
Activity Number: 423
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #300667
Title: Test of Homogeneity for Umbrella Alternatives in Dose-Response Relationship
Author(s): Chengjie Xiong*+
Companies: Washington University, St Louis
Address: 660 S Euclid Ave. # 8067, Saint Louis, MO, 63110-1010,
Keywords: C(alpha) statistic ; maximum likelihood estimate ; monotone trend test ; Poisson distribution ; vertex point
Abstract:

This article studies the statistical test of homogeneity against umbrella alternatives in a sequence of Poisson distributions associated with an ordered dose variable. We propose a test similar to the trend test of Cochran-Armitage type and study the asymptotic null distribution and the power and of such test. We also propose an estimator of the vertex point when the umbrella pattern is confirmed and study the performance of the estimator. A real dataset pertaining to the number of visible revertant colonies associated with different doses of test agents in an in vitro mutagenicity assay is used to demonstrate the test and estimation process.

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