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A Procedure for Estimating the Number of Clusters in Logistic Regression Clustering
Authors:Guoqi Qian  Yuehua Wu  Qing Shao
Institution:(1) Department of Mathematics and Statistics, The University of Melbourne, Melbourne, VIC, 3010, Australia;(2) Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3, Canada;(3) Biostatistics and Statistical Reporting, One Health Plaza, Bldg. 435–4173, Novartis Pharmaceuticals Corporation, East Hanover, NJ 07936, USA
Abstract:This paper studies the problem of estimating the number of clusters in the context of logistic regression clustering. The classification likelihood approach is employed to tackle this problem. A model-selection based criterion for selecting the number of logistic curves is proposed and its asymptotic property is also considered. The small sample performance of the proposed criterion is studied by Monto Carlo simulation. In addition, a real data example is presented. The authors would like to thank the editor, Prof. Willem J. Heiser, and the anonymous referees for the valuable comments and suggestions, which have led to the improvement of this paper.
Keywords:Asymptotics  Logistic regression clustering  Model selection  Penalty
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