This is the program for the 2010 Joint Statistical Meetings in Vancouver, British Columbia.

Abstract Details

Activity Number: 301
Type: Contributed
Date/Time: Tuesday, August 3, 2010 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #306745
Title: Distribution-Free Models for Latent Population Mixtures
Author(s): Hui Zhang*+
Companies: University of Rochester Medical Center
Address: 601 Elmwood Avenue Box 630, Rochester, NY, 14642, U.S.A.
Keywords: Zero-Inflated Poisson ; mixture ; distribution-free ; functional response model ; latent ; inverse probability weighted

Many studies involve mixtures of latent populations. With the unobservable sub-groups, it is not possible to compare intervention effects across them using existing methods. In this talk, we propose a novel approach to tackle the analytic problems. We will employ a Zero-inflated Poisson like model to help identify the two latent sub-groups and integrate this sub-model into the context of a primary model of interest to enable estimation of parameters of interest. We develop this proposed system of models by utilizing a new class of functional response models(FRM). To provide inference for longitudinal data analysis, we integrate the inverse probability weighted estimate within the context of FRM and develop distribution-free inference about the parameters of the system. The proposed distribution-free approach seems to offer the only sensible solution to this type of modeling problem.

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