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Testing for overdispersion in a censored Poisson regression model 

Authors: Byoung Cheol Jung a;  Myoungshic Jhun b; Seuck Heun Song b
Affiliations:   a Department of Statistics, University of Seoul, Seoul, Korea
b Department of Statistics, Korea University, Seoul, Korea
DOI: 10.1080/02331880601012884
Publication Frequency: 6 issues per year
Published in: journal Statistics, Volume 40, Issue 6 December 2006 , pages 533 - 543
Formats available: HTML (English) : PDF (English)
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Abstract

In this article, we investigate the efficiency of score tests for testing a censored Poisson regression model against censored negative binomial regression alternatives. Based on the results of a simulation study, score tests using the normal approximation, underestimate the nominal significance level. To remedy this problem, bootstrap methods are proposed. We find that bootstrap methods keep the significance level close to the nominal one and have greater power uniformly than does the normal approximation for testing the hypothesis.
Keywords: Bootstrap; Censored count data; Negative binomial; Poisson regression model; Score test
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