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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 106
Type: Contributed
Date/Time: Monday, July 30, 2007 : 8:30 AM to 10:20 AM
Sponsor: ENAR
Abstract - #309108
Title: Principal Component Analysis for Multivariate Binary Data
Author(s): Seokho Lee*+
Companies: Texas A&M University
Address: 3143 TAMU, College Station, TX, 77843-3143,
Keywords:
Abstract:

Principal component analysis (PCA) is frequently used as a powerful tool for dimension reduction in multivariate data analysis. One of its disadvantages is that PCA is applicable only to continuous data. There is little literature on PCA-like dimension reduction methods for multivariate binary data which are commonly observed in various application fields. The nature of binary data circumvents a direct application of PCA to multivariate binary data. In this presentation, we propose an extension of PCA to handle multivariate binary variables by using Bernoulli distribution and low-rank approximations of matrices of latent variables. Illustrations of application to real and synthetic datasets are presented.


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Revised September, 2007