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The analysis of incontinence episodes and other count data in patients with overactive bladder by Poisson and negative binomial regression
Authors:R Martina  R Kay  R van?Maanen  A Ridder
Institution:1. Department of Health Sciences, University of Leicester, Leicester, UK;2. RK Statistics Ltd, Bakewell, UK;3. Astellas Pharma Europe BV, Leiden, The Netherlands
Abstract:Clinical studies in overactive bladder have traditionally used analysis of covariance or nonparametric methods to analyse the number of incontinence episodes and other count data. It is known that if the underlying distributional assumptions of a particular parametric method do not hold, an alternative parametric method may be more efficient than a nonparametric one, which makes no assumptions regarding the underlying distribution of the data. Therefore, there are advantages in using methods based on the Poisson distribution or extensions of that method, which incorporate specific features that provide a modelling framework for count data. One challenge with count data is overdispersion, but methods are available that can account for this through the introduction of random effect terms in the modelling, and it is this modelling framework that leads to the negative binomial distribution. These models can also provide clinicians with a clearer and more appropriate interpretation of treatment effects in terms of rate ratios. In this paper, the previously used parametric and non‐parametric approaches are contrasted with those based on Poisson regression and various extensions in trials evaluating solifenacin and mirabegron in patients with overactive bladder. In these applications, negative binomial models are seen to fit the data well. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:Poisson regression  negative binomial regression  overdispersion  zero‐inflation models  count data
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