JSM 2004 - Toronto

Abstract #301464

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Activity Number: 382
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics in Epidemiology
Abstract - #301464
Title: The Drane-Wang Modification of the Logistic Dose Response Function
Author(s): J. Wanzer Drane*+ and Huei Wang and Walter W. Piegorsch and James Hussey and Francisco Sy
Companies: University of South Carolina and Eli Lilly and Company and University of South Carolina and University of South Carolina and Centers for Disease Control and Prevention
Address: Arnold School of Public Health, 205, Columbia, SC, 29208,
Keywords: dose-response ; logistic ; Log Odds Ratio ; Drane-Wang model
Abstract:

In epidemiology, in the limit the dose-response function or positive predictive value is bounded by the prevalence of the disease. All, or almost all, risk factors when expressed in numeric form are non-negative. Based on this theory the Drane-Wang (Lixia Wang) modification of the logistic dose response function for continuous risk variables is constructed. Constrained maximum likelihood estimation is used to estimate its parameters. An example is given to illustrate properties of the modification of the logistic and also the fundamental theorem of epidemiology--namely, the limit of the cumulative dose response function (from above or below) is the prevalence of the disease it is modeling.

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