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Activity Number: 31
Type: Contributed
Date/Time: Sunday, July 29, 2012 : 2:00 PM to 3:50 PM
Sponsor: Biometrics Section
Abstract - #304935
Title: A New Class of Flexible Link Functions with Application to Species Co-Occurrence Study
Author(s): Xun Jiang*+ and Dipak K Dey
Companies: University of Connecticut and University of Connecticut
Address: 215 Glenbrook Road U-4120, Storrs, CT, 06269, United States
Keywords: Bayesian ; Generalized Linear Model ; MCMC ; Model Selection ; Power Link function

Summary: In this paper, we propose a new family of flexible link functions for modeling binary response data. By introducing a power parameter into the cdf corresponding to a symmetric link function, greater flexibility in skewness can be achieved in both positive as well as negative directions. Through simulated data sets, we show the proposed link function performs better fitting against link misspecification than existing standard link functions by allowing data to determine the direction and magnitude of skewness. Finally, we present the Protea species co-occurrence data from Cape Florist Region of South Africa as an illustrative example to demonstrate the effectiveness of the proposed link functions.

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