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March 2015 Mixed model and estimating equation approaches for zero inflation in clustered binary response data with application to a dating violence study
Kara A. Fulton, Danping Liu, Denise L. Haynie, Paul S. Albert
Ann. Appl. Stat. 9(1): 275-299 (March 2015). DOI: 10.1214/14-AOAS791

Abstract

The NEXT Generation Health study investigates the dating violence of adolescents using a survey questionnaire. Each student is asked to affirm or deny multiple instances of violence in his/her dating relationship. There is, however, evidence suggesting that students not in a relationship responded to the survey, resulting in excessive zeros in the responses. This paper proposes likelihood-based and estimating equation approaches to analyze the zero-inflated clustered binary response data. We adopt a mixed model method to account for the cluster effect, and the model parameters are estimated using a maximum-likelihood (ML) approach that requires a Gaussian–Hermite quadrature (GHQ) approximation for implementation. Since an incorrect assumption on the random effects distribution may bias the results, we construct generalized estimating equations (GEE) that do not require the correct specification of within-cluster correlation. In a series of simulation studies, we examine the performance of ML and GEE methods in terms of their bias, efficiency and robustness. We illustrate the importance of properly accounting for this zero inflation by reanalyzing the NEXT data where this issue has previously been ignored.

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Kara A. Fulton. Danping Liu. Denise L. Haynie. Paul S. Albert. "Mixed model and estimating equation approaches for zero inflation in clustered binary response data with application to a dating violence study." Ann. Appl. Stat. 9 (1) 275 - 299, March 2015. https://doi.org/10.1214/14-AOAS791

Information

Published: March 2015
First available in Project Euclid: 28 April 2015

zbMATH: 06446569
MathSciNet: MR3341116
Digital Object Identifier: 10.1214/14-AOAS791

Keywords: adolescent dating violence , clustered binary data , generalized estimating equations , maximum likelihood , Zero inflation

Rights: Copyright © 2015 Institute of Mathematical Statistics

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Vol.9 • No. 1 • March 2015
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