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Frontiers of Mathematics in China

ISSN 1673-3452

ISSN 1673-3576(Online)

CN 11-5739/O1

Postal Subscription Code 80-964

2018 Impact Factor: 0.565

Front Math Chin    2013, Vol. 8 Issue (3) : 717-730    https://doi.org/10.1007/s11464-012-0255-9
RESEARCH ARTICLE
A two-stage variable selection strategy for supersaturated designs with multiple responses
Yuhui YIN, Qiaozhen ZHANG, Min-Qian LIU()
Department of Statistics, School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, China
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Abstract

A supersaturated design (SSD), whose run size is not enough for estimating all the main effects, is commonly used in screening experiments. It offers a potential useful tool to investigate a large number of factors with only a few experimental runs. The associated analysis methods have been proposed by many authors to identify active effects in situations where only one response is considered. However, there are often situations where two or more responses are observed simultaneously in one screening experiment, and the analysis of SSDs with multiple responses is thus needed. In this paper, we propose a two-stage variable selection strategy, called the multivariate partial least squares-stepwise regression (MPLS-SR) method, which uses the multivariate partial least squares regression in conjunction with the stepwise regression procedure to select true active effects in SSDs with multiple responses. Simulation studies show that the MPLS-SR method performs pretty good and is easy to understand and implement.

Keywords Multivariate partial least squares (MPLS)      supersaturated design (SSD)      stepwise regression      variable selection      variable importance in projection     
Corresponding Author(s): LIU Min-Qian,Email:mqliu@nankai.edu.cn   
Issue Date: 01 June 2013
 Cite this article:   
Yuhui YIN,Qiaozhen ZHANG,Min-Qian LIU. A two-stage variable selection strategy for supersaturated designs with multiple responses[J]. Front Math Chin, 2013, 8(3): 717-730.
 URL:  
https://academic.hep.com.cn/fmc/EN/10.1007/s11464-012-0255-9
https://academic.hep.com.cn/fmc/EN/Y2013/V8/I3/717
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