The zero-inflated negative binomial regression model with correction for misclassification: an example in caries research
- 14 August 2007
- journal article
- research article
- Published by SAGE Publications in Statistical Methods in Medical Research
- Vol. 17 (2), 123-139
- https://doi.org/10.1177/0962280206071840
Abstract
Zero-inflated models for count data are becoming quite popular nowadays and are found in many application areas, such as medicine, economics, biology, sociology and so on. However, in practice these counts are often prone to measurement error which in this case boils down to misclassification. Methods to deal with misclassification of counts have been suggested recently, but only for the binomial model and the Poisson model. Here we look at a more complex model, that is, the zero-inflated negative binomial, and illustrate how correction for misclassification can be achieved. Our approach is illustrated on the dmft-index which is a popular measure for caries experience in caries research. An extra problem was the fact that several dental examiners were involved in scoring caries experience. Using our example, we illustrate how a non-differential misclassification process for each examiner can lead to differential misclassification overall.Keywords
This publication has 15 references indexed in Scilit:
- A Bayesian Ordinal Logistic Regression Model to Correct for Interobserver Measurement Error in a Geographical Oral Health StudyJournal of the Royal Statistical Society Series C: Applied Statistics, 2004
- Within- and Between-Cohort Variation in Measured Macronutrient Intakes, Taking Account of Measurement Errors, in the European Prospective Investigation into Cancer and Nutrition StudyAmerican Journal of Epidemiology, 2004
- Bayesian Predictive Probability Functions for Count Data that are Subject to MisclassificationBiometrical Journal, 2004
- Estimation of Poisson Rates with Misclassified CountsBiometrical Journal, 2002
- Score tests for heterogeneity and overdispersion in zero‐inflated Poisson and binomial regression modelsThe Canadian Journal of Statistics / La Revue Canadienne de Statistique, 2002
- Finite Mixture ModelsWiley Series in Probability and Statistics, 2000
- The Zero-Inflated Poisson Model and the Decayed, Missing and Filled Teeth Index in Dental EpidemiologyJournal of the Royal Statistical Society Series A: Statistics in Society, 1999
- Numerical OptimizationPublished by Springer Science and Business Media LLC ,1999
- Modeling Repeated Measures with Monotonic Ordinal Responses and Misclassification, with Applications to Studying MaturationJournal of the American Statistical Association, 1997
- Zero-Inflated Poisson Regression, with an Application to Defects in ManufacturingTechnometrics, 1992