A test of inflated zeros for Poisson regression models.

Abstract:

:Excessive zeros are common in practice and may cause overdispersion and invalidate inference when fitting Poisson regression models. There is a large body of literature on zero-inflated Poisson models. However, methods for testing whether there are excessive zeros are less well developed. The Vuong test comparing a Poisson and a zero-inflated Poisson model is commonly applied in practice. However, the type I error of the test often deviates seriously from the nominal level, rendering serious doubts on the validity of the test in such applications. In this paper, we develop a new approach for testing inflated zeros under the Poisson model. Unlike the Vuong test for inflated zeros, our method does not require a zero-inflated Poisson model to perform the test. Simulation studies show that when compared with the Vuong test our approach not only better at controlling type I error rate, but also yield more power.

journal_name

Stat Methods Med Res

authors

He H,Zhang H,Ye P,Tang W

doi

10.1177/0962280217749991

subject

Has Abstract

pub_date

2019-04-01 00:00:00

pages

1157-1169

issue

4

eissn

0962-2802

issn

1477-0334

journal_volume

28

pub_type

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