Abstract #301300

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JSM 2003 Abstract #301300
Activity Number: 335
Type: Contributed
Date/Time: Wednesday, August 6, 2003 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract - #301300
Title: Nonhomogeneous Poisson Process Models for Genetic Crossover Interference
Author(s): Szu-Yun Leu*+ and Pranab K. Sen
Companies: University of North Carolina, Chapel Hill and University of North Carolina, Chapel Hill
Address: Dept. of Biostatistics CB #7420, Chapel Hill, NC, 27599,
Keywords: nonhomogeneous ; Poisson ; crossover ; interference
Abstract:

In statistical genetic analysis, as the genetic and physical distances are not the same, there are several different models for crossover formation process. One of the simplest and widely used one is the homogeneous Poisson process, which assumes the number of crossover events between adjacent consecutive markers only depends on the distance in between and allows for no interference. With this assumption, genetic distance can then be estimated. Now, since the physical distance of many markers can be measured, we are interested in examining the possibility of applying the Poisson process to the physical distance to evaluate the actual crossover interference. We propose several different non-homogeneous time-dependent Poisson models, which not only depend on the distance between adjacent markers, but also on the location of the markers and the number of crossover events already occurred. Based on some theoretical work, simulation results for the proposed models are examined, and applications to actual crossover data are studied. With more flexibility of these models, we hope we have a better model fitting for the crossover interference.

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