This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 127
Type: Contributed
Date/Time: Monday, August 2, 2010 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #308925
Title: Generalized Score Test for Zero Mixture in Count Data
Author(s): Wei-Wen Hsu*+ and David Todem
Companies: Michigan State University and Michigan State University
Address: 2092 Lac Du Mont, Apt B2, Haslett, MI, 48840,
Keywords: Mixture models ; Score test ; Zero inflation/deflation ; Poisson model ; exponential family ; Binary regression

In a 1995 Biometrics paper, Van Den Broek(1995,738-748) developed a score test for zero inflation in a Poisson distribution. Others have extended this test to independent and correlated discrete data with density function from the exponential family. But the existing testing procedures rely on restrictive assumptions. One such restriction is that the mixing weights are unrelated to covariates under alternative. Another limitation is that it is often unclear whether these tests are conducted under the hierarchical or the marginal representation of the mixture distribution. In this paper, we propose a generalized score test for homogeneity of zeros against alternatives from the marginal mixture model. The technique is based on a decomposition of the mixing weights into terms that have an obvious statistical interpretation. We exploit this decomposition to lay the foundation of the test.

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