JSM 2003 Online Program

Abstract #300248

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Activity Number:	244
Type:	Contributed
Date/Time:	Tuesday, August 5, 2003 : 10:30 AM to 12:20 PM
Sponsor:	Section on Nonparametric Statistics
Abstract - #300248
Title:	Bootstrapping SIR for Dimension Assessment in Regression
Author(s):	Santiago Velilla*+ and Pilar Barrios
Companies:	Universidad Carlos III de Madrid and Ministerio De Ciencia Y Tecnología
Address:	Dpto de Estadistica y Econometria, Getafe 28903, , , Spain
Keywords:	bootstrap ; dimension test ; normal probability plot ; SAVE ; SIR
Abstract:	A bootstrap method is presented for assessing the dimension of a general regression problem. The main idea is to construct an adequate resampled version of the kernel matrix used in the SIR approach of Li (1991). The proposed approach combines both formal and graphical inference procedures and can be considered as an alternative to the permutation test of Cook and Yin (2001).

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