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Abstract Details

Activity Number: 76
Type: Contributed
Date/Time: Sunday, August 1, 2010 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #307884
Title: Dimension Reduction with Categorical Predictors via Likelihood Approach
Author(s): Xuerong Wen*+
Companies: Missouri University of Science and Technology
Address: 400 W. 12th St. , Rolla, MO, 65401, USA
Keywords: sufficient dimension reduction ; categorical predictors ; likelihood approach
Abstract:

Within the context of sufficient dimension reduction (Cook, 1994), Cook and Forzani (2008) recently proposed a method called LAD (likelihood acquired directions) assuming that given a scalar response, the p-dimensional predictor X follows a normal distribution. We extend LAD to incorporate categorical predictor W. The likelihood approach also enables us to test group effects (whether same directions are required across W) via a likelihood ratio test.


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