Title
Regression trees for analysis of count data with extra Poisson variation
Abstract
This article proposes methods for fitting piecewise loglinear models to count data with an extra-Poisson variation. Both SUPPORT (Statistica Sinica, 4 (1994) 143) and GUIDE (Statistica Sinica, 12 (2002) 361) are used for splitting methods. We developed a new bootstrap resampling method performed at each node of the tree to determine the proper size of a tree. The quasi-likelihood approach is used for fitting an extra-Poisson model at each stratum to take into account the extra variability. An adjusted Anscombe residual for the extra-Poisson model is used in this procedure. Performance of the proposed method is evaluated by a Monte Carlo simulation study. The proposed method is used to investigate geographic variability in mortality rates on lung cancer as well as effects of various demographic variability.
Year
DOI
Venue
2005
10.1016/j.csda.2004.06.011
Computational Statistics & Data Analysis
Keywords
Field
DocType
monte carlo simulation study,extra-poisson variation,extra variability,quasi-likelihood,fitting piecewise loglinear model,splitting method,generalized linear model,statistica sinica,regression tree,various demographic variability,geographic variability,count data,carcinogenicity,recursive partitioning,extra poisson variation,extra-poisson model,quasi likelihood,poisson model,general linear model,monte carlo simulation,mortality rate
Econometrics,Quasi-likelihood,Regression analysis,Algorithm,Bootstrapping (statistics),Generalized linear model,Count data,Log-linear model,Poisson distribution,Statistics,Bootstrapping (electronics),Mathematics
Journal
Volume
Issue
ISSN
49
3
Computational Statistics and Data Analysis
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Yun-Hee Choi192.58
Hongshik Ahn2734.45
James J Chen343031.26