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Activity Details


CE_03C Sat, 8/3/2013, 8:30 AM - 5:00 PM W-Palais
Classification and Regression Trees — Continuing Education Course
ASA
Instructor(s): Wei-Yin Loh, University of Wisconsin
In a classification or regression tree model, the data and sample space are split into two or more partitions and a simple statistical model is fitted to each of them. The resulting model is intuitive to interpret because the partitions can be displayed as a decision tree. The best algorithms can produce models with prediction accuracy at least as good as that of linear discriminant analysis and linear regression. This course reviews the major algorithms, including C4.5, CART, CHAID, GUIDE, M5, and QUEST. Also covered are ensemble procedures, such as bagging and Random forest. Besides least-squares, regression tree algorithms for quantile, Poisson, logistic, proportional hazards, multi-response, and longitudinal data are presented. Attention is paid to the strengths, weaknesses, capabilities, and limitations of each method. The methods are compared in terms of prediction accuracy, model size and interpretability, and computational requirements. Examples are drawn from business, economics, social science, biology, medicine, engineering, and sports. Relevant software is discussed where appropriate. Attendees should be familiar with linear regression at the level of Weisberg's "Applied Linear Regression" and discriminant analysis at the level of Johnson and Wichern's "Applied Multivariate Statistical Analysis."



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