A Bayesian Approach to Account for Misclassification and Overdispersion in Count Data

Count data are subject to considerable sources of what is often referred to as non-sampling error. Errors such as misclassification, measurement error and unmeasured confounding can lead to substantially biased estimators. It is strongly recommended that epidemiologists not only acknowledge these so...

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Published inInternational journal of environmental research and public health Vol. 12; no. 9; pp. 10648 - 10661
Main Authors Wu, Wenqi, Stamey, James, Kahle, David
Format Journal Article
LanguageEnglish
Published Switzerland MDPI AG 28.08.2015
MDPI
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ISSN1660-4601
1661-7827
1660-4601
DOI10.3390/ijerph120910648

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Abstract Count data are subject to considerable sources of what is often referred to as non-sampling error. Errors such as misclassification, measurement error and unmeasured confounding can lead to substantially biased estimators. It is strongly recommended that epidemiologists not only acknowledge these sorts of errors in data, but incorporate sensitivity analyses into part of the total data analysis. We extend previous work on Poisson regression models that allow for misclassification by thoroughly discussing the basis for the models and allowing for extra-Poisson variability in the form of random effects. Via simulation we show the improvements in inference that are brought about by accounting for both the misclassification and the overdispersion.
AbstractList Count data are subject to considerable sources of what is often referred to as non-sampling error. Errors such as misclassification, measurement error and unmeasured confounding can lead to substantially biased estimators. It is strongly recommended that epidemiologists not only acknowledge these sorts of errors in data, but incorporate sensitivity analyses into part of the total data analysis. We extend previous work on Poisson regression models that allow for misclassification by thoroughly discussing the basis for the models and allowing for extra-Poisson variability in the form of random effects. Via simulation we show the improvements in inference that are brought about by accounting for both the misclassification and the overdispersion.
Author Wu, Wenqi
Stamey, James
Kahle, David
AuthorAffiliation Department of Statistical Science, Baylor University, One Bear Place #97140, Waco, TX, 76706, USA; E-Mails: wenqi_wu@baylor.edu (W.W.); james_stamey@baylor.edu (J.S.)
AuthorAffiliation_xml – name: Department of Statistical Science, Baylor University, One Bear Place #97140, Waco, TX, 76706, USA; E-Mails: wenqi_wu@baylor.edu (W.W.); james_stamey@baylor.edu (J.S.)
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Copyright Copyright Molecular Diversity Preservation International Sep 2015
2015 by the authors; licensee MDPI, Basel, Switzerland. 2015
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Keywords overdispersion
count data
misclassification
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StartPage 10648
SubjectTerms Bayes Theorem
Bayesian analysis
Data analysis
Epidemiologic Methods
Errors
Models, Theoretical
Poisson Distribution
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