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Censored Geometric Regression with Application to Human Subfertility
Friday, February 18, 2011 - 3:15pm
Portland State University
Fariborz Maseeh Department of Mathematics & Statistics

The Maseeh Mathematics and Statistics Colloquium Series*
presents

Steven Schwager
Department of Biological Statistics and Computational Biology and Department of Statistical Science, Cornell University

Censored Geometric Regression with Application to Human Subfertility

Abstract:
The geometric distribution describes the number of failures observed in a Bernoulli sequence until the first success. We propose a model for geometric distributed data in the framework of generalized linear models, which can incorporate right-censored responses. Covariates can be included to describe the parameters of this distribution. Diagnostics for this model include a test for overdispersion. These methods are applied to a model of the success of pregnancy induced by intrauterine insemination in 200 women who were treated for subfertility at Yale. The number of these insemination services performed before success (pregnancy) is assumed to follow a geometric distribution. Right censoring occurs when a woman and her doctor decide to discontinue before success, for any of a variety of reasons. We discuss and develop an EM algorithm to estimate the parameters for the geometric model and the probability of discontinuing treatment. A Bayesian model is also developed to estimate the number of treatments expected before pregnancy is achieved. This is joint work with Daniel Zelterman at Yale University.

Friday, February 18th, 2011, 3:15pm
Neuberger Hall room 454
(Refreshments served at 3:00 Neuberger Hall room 344)

* Sponsored by the Maseeh Mathematics and Statistics Colloquium Series Fund and the Fariborz Maseeh Department of Mathematics & Statistics, PSU. This event is free and open to the public.