JSM 2004 - Toronto

Abstract #300719

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Activity Number: 330
Type: Topic Contributed
Date/Time: Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor: SSC
Abstract - #300719
Title: Test of Treatment Effect in Pre-drug and Post-drug Count Data with Zero Inflation
Author(s): Xing Jiang*+
Companies: University of Windsor
Address: Dept. of Mathematics and Statistics, Windsor, ON, N9B 3P4, Canada
Keywords: likelihood ratio test ; PVC data ; score test ; treatment effect
Abstract:

A procedure for testing for treatment effect in data similar to the data on premature ventricular contractions (PVC) (Berry) is presented. We consider a Zero-inflated Beta-binomial Model. Based on this model we develop score tests to test for treatment effect in the data in which observations in the form of counts are recorded before and after applying a therapy. Results of a small simulation experiment, to study small sample behavior of a score test and a likelihood ratio test, are reported and the PVC data are analyzed. Both the score and the likelihood ratio tests show good level properties. Either the score tests or the likelihood ratio tests can be used for testing the presence of treatment effect. The score tests, however, may be preferable because they use estimates of the parameters only under the null hypothesis.

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