JSM 2005 Online Program

Abstract #303312

This is the preliminary program for the 2005 Joint Statistical Meetings in Minneapolis, Minnesota. Currently included in this program is the "technical" program, schedule of invited, topic contributed, regular contributed and poster sessions; Continuing Education courses (August 7-10, 2005); and Committee and Business Meetings. This on-line program will be updated frequently to reflect the most current revisions.

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Activity Number:	400
Type:	Contributed
Date/Time:	Wednesday, August 10, 2005 : 10:30 AM to 12:20 PM
Sponsor:	ENAR
Abstract - #303312
Title:	Nonparametric Correlation Estimation in Colon Carcinogenesis
Author(s):	Yehua Li*+ and Naisyin Wang and Raymond J. Carroll
Companies:	Texas A&M University and Texas A&M University and Texas A&M University
Address:	Department of Statistics, College Station, TX, 77840, United States
Keywords:	Covariance ; positive semidefinite ; stationary ; kernel ; asymptotics ; bootstrap
Abstract:	In a colon carcinogenesis study, rats administered with AOM (some carcinogen) were raised in four groups according to diet and butyrate supplement. A number of crypts were obtained along a slice of colon tissue from each rat. P27 (a cancer biomarker) is measured for all the cells within a crypt. Measurements within a crypt could be considered as measurements on a function of cell locations. A couple of interesting biological questions are whether crypts are spatially correlated within a rat and if the correlation structures differ across treatment groups. We propose a nonparametric way to estimate and test the correlation function. Asymptotic properties of our estimator are discussed. The method is demonstrated with simulations and an application to the real data.

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