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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 395
Type: Invited
Date/Time: Wednesday, August 1, 2007 : 10:30 AM to 12:20 PM
Sponsor: Noether Award Committee
Abstract - #307699
Title: Nonparametric Hierarchical Models
Author(s): Ciprian M. Crainiceanu*+
Companies: Johns Hopkins University
Address: 615 N. Wolfe St. E3636, Baltimore, MD, 21205,
Keywords: signal extraction ; hierarchical smoothing ; penalized splines
Abstract:

We develop the nonparametric hierarchical inferential framework with focus on model estimation and testing. Two complementary methodologies are discussed and implemented for scientific and geometric signal extraction. We identify, describe and solve a new measurement error problem generated by the hierarchical smoothing process when signals are used in second level analyses. Our research was motivated by a large (6,400 subjects) longitudinal study of electro encephalographic (EEG) signals during sleep where the natural hierarchy is patient/group or cluster/visit. The design of our methods and use of low rank penalized splines make our computations tractable.


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Revised September, 2007