JSM 2003 Online Program

Abstract #301945

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Activity Number:	94
Type:	Contributed
Date/Time:	Monday, August 4, 2003 : 8:30 AM to 10:20 AM
Sponsor:	Biometrics Section
Abstract - #301945
Title:	An Algorithm to Approximate the Distribution of Fixed-Response Covariates in Logistic Regression Using Smoothing Splines
Author(s):	Robert W. Jernigan*+ and Nomchit Kittichotipanit
Companies:	American University and American University
Address:	Dept. of Math & Statistics, Washington, DC, 20016,
Keywords:	nonparametric ; cline
Abstract:	We investigate the use of smoothing splines in logistic regression to estimate the distribution of covariate values that yield a fixed response probability, e.g., LC50 or LD50. We develop an algorithm for a monotonic spline fit, approximate the distribution of the resulting probability estimates, and using a Bayesian approach approximate the distribution of the fixed-response covariates. We illustrate our algorithm on datasets from studies of genetic spatial diversity.

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