JSM 2005 - Toronto

Abstract #303553

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 268
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 10:30 AM to 12:20 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #303553
Title: A New Method for Partial Sufficient Dimension Reduction by Using Intraslice Information
Author(s): Xuerong Wen*+
Companies: University of Minnesota
Address: 313 Ford Hall, Minneapolis, MN, 55108, United States
Keywords: partial dimension reduction ; categorical predictor ; regression ; slicing information
Abstract:

For a continuous Y, a standard treatment in sufficient dimension reduction is to partition the range of Y into a number of fixed slices (Li 1991) and work on the discrete version of Y, assuming the new regression retains all the information. However, this assumption is not always true, and the differences between the working and target regression can be significant. We use intraslice covariances to construct improved inference methods for the partial central subspace. In the context of partial dimension reduction, this new method may provide a solution for categories having a factorial structure.

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