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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: 85
Type: Invited
Date/Time: Monday, July 30, 2007 : 8:30 AM to 10:20 AM
Sponsor: WNAR
Abstract - #307719
Title: Bayesian Hierarchical Spatially Correlated Functional Data Analysis with Application to Colon Carcinogenesis
Author(s): Veera Baladandayuthapani*+ and Bani Mallick and Raymond J. Carroll and Mee Young Hong and Nancy D. Turner and Joanne R. Lupton
Companies: The University of Texas M.D. Anderson Cancer Center and Texas A&M University and Texas A&M University and University of California, Los Angeles and Texas A&M University and Texas A&M University
Address: 1515 Holcombe Blvd. Unit 447, Houston, TX, 77030,
Keywords: Bayesian methods ; Carcinogenesis ; Functional data analysis ; Regression splines ; Semiparametric methods ; Spatial correlation
Abstract:

We present new methods to analyze data from an experiment using rodent models to investigate the biological mechanisms surrounding p27, an important biomarker predictive of early colon carcinogenesis. The responses modeled are essentially functions nested within a two-stage hierarchy. Moreover, in our experiment, there is substantial biological motivation for the existence of spatial correlation among the functions, which arise from the locations of biological structures called colonic crypts: this possible functional correlation is a phenomenon we term crypt signaling. Thus, as a point of general methodology, we require an analysis that allows for functions to be correlated at the deepest level of the hierarchy. Analysis of this data set gives new insights into the structure of p27 expression in early colon carcinogenesis and suggests the existence of significant crypt signaling.


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Revised September, 2007