A geometric interpretation of Mallows' <i>C<sub>p</sub></i> statistic and an alternative plot in variable selection

Siniksaran E.

COMPUTATIONAL STATISTICS & DATA ANALYSIS, cilt.52, sa.7, ss.3459-3467, 2008 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 7
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.csda.2007.10.023
  • Dergi Adı: COMPUTATIONAL STATISTICS & DATA ANALYSIS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3459-3467
  • İstanbul Üniversitesi Adresli: Hayır

Özet

Mallows' C-p plot is a useful tool for variable selection in linear regression. Though not as popular as the C-p plot, Spjotvoll's F-p and P-p plots are also used in the variable selection procedure. The C-p, F-p and P-p plots are useful in their own right. If the interest is the direct measure of the amount of bias of the submodels and a distributional assumption is not made about the error term, a C-p or F-p plot is used. If a formal testing procedure is to be performed, then a P-p plot is employed. A geometrical approach is used in order to propose an alternative plot that unifies all the information in these three plots, and that has some advantages over them. A Mathematica package has been written to implement the approach. (c) 2007 Elsevier B.V. All rights reserved.