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A new and intuitive test for zero modification

Wilson, Paul; Einbeck, Jochen

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Authors

Paul Wilson



Abstract

While there do exist several statistical tests for detecting zero modification in count data regression models, these rely on asymptotical results and do not transparently distinguish between zero inflation and zero deflation. In this manuscript, a novel non-asymptotic test is introduced which makes direct use of the fact that the distribution of the number of zeros under the null hypothesis of no zero modification can be described by a Poisson-binomial distribution. The computation of critical values from this distribution requires estimation of the mean parameter under the null hypothesis, for which a hybrid estimator involving a zero-truncated mean estimator is proposed. Power and nominal level attainment rates of the new test are studied, which turn out to be very competitive to those of the likelihood ratio test. Illustrative data examples are provided.

Citation

Wilson, P., & Einbeck, J. (2019). A new and intuitive test for zero modification. Statistical Modelling, 19(4), 341--361. https://doi.org/10.1177/1471082x18762277

Journal Article Type Article
Acceptance Date Feb 7, 2018
Online Publication Date Apr 5, 2018
Publication Date Aug 31, 2019
Deposit Date Apr 26, 2018
Publicly Available Date Mar 29, 2024
Journal Statistical Modelling
Print ISSN 1471-082X
Electronic ISSN 1477-0342
Publisher SAGE Publications
Peer Reviewed Peer Reviewed
Volume 19
Issue 4
Pages 341--361
DOI https://doi.org/10.1177/1471082x18762277

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Accepted Journal Article (485 Kb)
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Copyright Statement
Wilson, Paul & Einbeck, Jochen (2019). A new and intuitive test for zero modification. Statistical Modelling 19(4): 341-361 (First Published April 5, 2018) Copyright © 2018 SAGE Publications. Reprinted by permission of SAGE Publications.





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