دورية أكاديمية

A flexible regression model for count data

التفاصيل البيبلوغرافية
العنوان: A flexible regression model for count data
المؤلفون: Sellers, Kimberly F., Shmueli, Galit
بيانات النشر: The Institute of Mathematical Statistics
سنة النشر: 2010
مصطلحات موضوعية: Conway–Maxwell-Poisson (COM-Poisson) distribution, dispersion, generalized linear models (GLM), generalized Poisson, stat
الوصف: Poisson regression is a popular tool for modeling count data and is applied in a vast array of applications from the social to the physical sciences and beyond. Real data, however, are often over- or under-dispersed and, thus, not conducive to Poisson regression. We propose a regression model based on the Conway–Maxwell-Poisson (COM-Poisson) distribution to address this problem. The COM-Poisson regression generalizes the well-known Poisson and logistic regression models, and is suitable for fitting count data with a wide range of dispersion levels. With a GLM approach that takes advantage of exponential family properties, we discuss model estimation, inference, diagnostics, and interpretation, and present a test for determining the need for a COM-Poisson regression over a standard Poisson regression. We compare the COM-Poisson to several alternatives and illustrate its advantages and usefulness using three data sets with varying dispersion.
نوع الوثيقة: text
اللغة: English
العلاقة: http://projecteuclid.org/euclid.aoas/1280842147Test
الإتاحة: http://projecteuclid.org/euclid.aoas/1280842147Test
حقوق: undefined
رقم الانضمام: edsbas.89DD38A2
قاعدة البيانات: BASE