JSM 2013 Home
Online Program Home
My Program

Abstract Details

Activity Number: 211
Type: Invited
Date/Time: Monday, August 5, 2013 : 2:00 PM to 3:50 PM
Sponsor: International Indian Statistical Association
Abstract - #307257
Title: Statistical Interactions, Link Functions, and Bayes Estimation of Log Odds for Case-Control Studies
Author(s): Jaya M. Satagopan*+ and Sara H. Olson and Robert C. Elston
Companies: Memorial Sloan-Kettering Cancer Center and Memorial Sloan-Kettering Cancer Center and Case Western Reserve University
Keywords: logistic link ; transformation ; case-control study ; Guerrero and Johnson link

There has been a long-standing interest in the evaluation of gene-gene and gene-environment interactions in the health sciences. Statisticians define interactions as a departure from an additive model on a certain scale of measurement of the outcome. Certain types interactions, referred to as removable interactions, may be eliminated via an invertible transformation of the outcome such that the model is additive on the transformed scale. When an interaction on the logistic scale is completely removable, accurate and more precise estimates of the log odds can be obtained via an additive model under the Guerrero and Johnson link. In practice, we may also encounter non-removable or qualitative interactions, and interaction terms must be included in the model. But, the resulting estimates of log odds may have poorer precision. Rather than trying to decide on a significance level for determining the existence of qualitative interactions, we develop an adaptive Bayesian estimation approach by placing a prior distribution on the uncertainty surrounding the presence of a qualitative interaction. We illustrate our approach using data from three endometrial cancer case-control studies.

Authors who are presenting talks have a * after their name.

Back to the full JSM 2013 program

2013 JSM Online Program Home

For information, contact jsm@amstat.org or phone (888) 231-3473.

If you have questions about the Continuing Education program, please contact the Education Department.

The views expressed here are those of the individual authors and not necessarily those of the JSM sponsors, their officers, or their staff.

ASA Meetings Department  •  732 North Washington Street, Alexandria, VA 22314  •  (703) 684-1221  •  meetings@amstat.org
Copyright © American Statistical Association.