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High-dimensional regression analysis with treatment comparisons

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  • Heng-Hui Lue
  • Bing-Ran You

Abstract

We consider the treatment comparison problem in a general high-dimensional regression setting. In this article, we propose a nonparametric estimation approach based on partial sliced inverse regression (SIR) (Chiaromonte et al. in Ann Stat 30:475–497, 2002 ) and an extension of partial inverse mean matching (Carroll and Li in Stat Sin 5:667–688, 1995 ) without requiring a prespecified parametric model. A sparse estimation strategy is incorporated in our approach to enhance the interpretation of variable selection. Several simulation examples are used to compare our method with SIR and principal components analysis. Illustrative applications to two real datasets are also presented. Copyright Springer-Verlag 2013

Suggested Citation

  • Heng-Hui Lue & Bing-Ran You, 2013. "High-dimensional regression analysis with treatment comparisons," Computational Statistics, Springer, vol. 28(3), pages 1299-1317, June.
    • Handle: RePEc:spr:compst:v:28:y:2013:i:3:p:1299-1317
    DOI: 10.1007/s00180-012-0357-6
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    References listed on IDEAS

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