Analysis of Zero-Inflated Poisson Data Incorporating Extent of Exposure
When analyzing Poisson count data sometimes a high frequency of extra zeros is observed. The Zero‐Inflated Poisson (ZIP) model is a popular approach to handle zero‐inflation. In this paper we generalize the ZIP model and its regression counterpart to accommodate the extent of individual exposure. Em...
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Veröffentlicht in: | Biometrical journal 2001-12, Vol.43 (8), p.963-975 |
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description | When analyzing Poisson count data sometimes a high frequency of extra zeros is observed. The Zero‐Inflated Poisson (ZIP) model is a popular approach to handle zero‐inflation. In this paper we generalize the ZIP model and its regression counterpart to accommodate the extent of individual exposure. Empirical evidence drawn from an occupational injury data set confirms that the incorporation of exposure information can exert a substantial impact on the model fit. Tests for zero‐inflation are also considered. Their finite sample properties are examined in a Monte Carlo study. |
doi_str_mv | 10.1002/1521-4036(200112)43:8<963::AID-BIMJ963>3.0.CO;2-K |
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Health state</subject><subject>Biological and medical sciences</subject><subject>Count data</subject><subject>EM algorithm</subject><subject>Epidemiology</subject><subject>Exact sciences and technology</subject><subject>Exposure</subject><subject>General aspects</subject><subject>Inference from stochastic processes; time series analysis</subject><subject>Mathematics</subject><subject>Medical sciences</subject><subject>Poisson regression</subject><subject>Probability and statistics</subject><subject>Public health. Hygiene</subject><subject>Public health. 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Health state</topic><topic>Biological and medical sciences</topic><topic>Count data</topic><topic>EM algorithm</topic><topic>Epidemiology</topic><topic>Exact sciences and technology</topic><topic>Exposure</topic><topic>General aspects</topic><topic>Inference from stochastic processes; time series analysis</topic><topic>Mathematics</topic><topic>Medical sciences</topic><topic>Poisson regression</topic><topic>Probability and statistics</topic><topic>Public health. Hygiene</topic><topic>Public health. Hygiene-occupational medicine</topic><topic>Sciences and techniques of general use</topic><topic>Statistics</topic><topic>Zero-inflation</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Lee, Andy H.</creatorcontrib><creatorcontrib>Wang, Kui</creatorcontrib><creatorcontrib>Yau, Kelvin K.W.</creatorcontrib><collection>Istex</collection><collection>Pascal-Francis</collection><collection>CrossRef</collection><collection>Biotechnology Research Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Biotechnology and BioEngineering Abstracts</collection><jtitle>Biometrical journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Lee, Andy H.</au><au>Wang, Kui</au><au>Yau, Kelvin K.W.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Analysis of Zero-Inflated Poisson Data Incorporating Extent of Exposure</atitle><jtitle>Biometrical journal</jtitle><addtitle>Biom. 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subjects | Analysis. Health state Biological and medical sciences Count data EM algorithm Epidemiology Exact sciences and technology Exposure General aspects Inference from stochastic processes time series analysis Mathematics Medical sciences Poisson regression Probability and statistics Public health. Hygiene Public health. Hygiene-occupational medicine Sciences and techniques of general use Statistics Zero-inflation |
title | Analysis of Zero-Inflated Poisson Data Incorporating Extent of Exposure |
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