A lack-of-fit test for parametric zero-inflated poisson models

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9 Scopus citations

Abstract

Count data often contain many zeros. In parametric regression analysis of zero-inflated count data, the effect of a covariate of interest is typically modeled via a linear predictor. This approach imposes a restrictive, and potentially questionable, functional form on the relation between the independent and dependent variables. To address the noted restrictions, a flexible parametric procedure is employed to model the covariate effect as a linear combination of fixed-knot cubic basis splines or B-splines. The semiparametric zero-inflated Poisson regression model is fitted by maximizing the likelihood function through an expectation-maximization algorithm. The smooth estimate of the functional form of the covariate effect can enhance modeling flexibility. Within this modeling framework, a log-likelihood ratio test is used to assess the adequacy of the covariate function. Simulation results show that the proposed test has excellent power in detecting the lack of fit of a linear predictor. A real-life data set is used to illustrate the practicality of the methodology.

Original languageEnglish (US)
Pages (from-to)1081-1098
Number of pages18
JournalJournal of Statistical Computation and Simulation
Volume81
Issue number9
DOIs
StatePublished - Sep 2011

Keywords

  • B-spline
  • Expectation-maximization (EM) algorithm
  • Semiparametric zero-inflated poisson regression model

ASJC Scopus subject areas

  • Applied Mathematics
  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty

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