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Activity Number: 29
Type: Contributed
Date/Time: Sunday, August 6, 2006 : 2:00 PM to 3:50 PM
Sponsor: IMS
Abstract - #305963
Title: Testing of Rate Ratio under Inverse Sampling
Author(s): Hon Keung T. Ng*+ and Man Lai Tang and Yijie Liao and Ping Shing Chan
Companies: Southern Methodist University and Hong Kong Baptist University and Hong Kong Baptist University and The Chinese University of Hong Kong
Address: Department of Statistical Science, Dallas, TX, 75275,
Keywords: negative binomial ; score test ; Wald test ; likelihood ratio test ; Monte Carlo simulation
Abstract:

Inverse sampling is considered to be a more appropriate sampling scheme than the usual binomial sampling scheme when the subjects arrive sequentially and when the underlying response of interest is acute. In this talk, we present various test statistics for testing rate ratio in case-control studies under inverse sampling. They include the Wald, unconditional score, Wald-score, likelihood ratio and conditional score test statistics. Three methods, namely the asymptotic, conditional exact and mid-P exact methods, are adopted for P-value computations. We evaluate the performance of different test procedures in terms of their actual type I error rates and powers via an empirical study. Some recommendations under different settings are provided. The methodologies are illustrated by a real example from a heart disease study.


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