JSM 2011 Online Program

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Abstract Details

Activity Number: 586
Type: Contributed
Date/Time: Wednesday, August 3, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics and Marketing
Abstract - #301641
Title: Order Detection for Factor Analysis Model Using Adaptive Group LASSO
Author(s): Liuxia Wang*+ and Yulin Li
Companies: Sentrana Inc. and K&L Consulting Services Inc
Address: 1725 I St. NW, Washington, DC, 20006,
Keywords: Adaptive group lasso ; selection consistency ; factor analysis model ; ECM algorithm
Abstract:

One crucial issue in factor analysis (FA) model is to detect the number of factors to summarize the original data. A wealth of approaches have been proposed for this matter. In this paper, we formulate the order detection for FA model into grouped variables selection in a regression, and the adaptive group lasso method is adopted for grouped variable selection. We show theoretically that the new method is able to identify the true number of factors consistently. We also illustrate this model using real and simulated examples. The simulations demonstrate that our approach outperforms some existing methods in terms of the percentage of correct order being detected.


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