Identifying multivariate discordant observations: a computer-intensive approach

  • Authors:
  • H. Viljoen;J. H. Venter

  • Affiliations:
  • School of Computer, Statistical and Mathematical Sciences, Potchefstroom University, Potchefstroom, South Africa;School of Computer, Statistical and Mathematical Sciences, Potchefstroom University, Potchefstroom, South Africa

  • Venue:
  • Computational Statistics & Data Analysis
  • Year:
  • 2002

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Abstract

The problem of identifying multiple outliers in a multivariate normal sample is approached via successive testing using P-values rather than tabled critical values. Caroni and Prescott (Appl. Statist. 41 (1992) 355) proposed a generalization of the EDR-ESD procedure of Rosner (Technometrics 25 (1983)). Venter and Viljoen (Comput. Statist. Data Anal. 29 (1999) 261) introduced a computer intensive method to identify outliers in a univariate outlier situation. We now generalize this method to the multivariate outlier situation and compare this new procedure with that of Caroni and Prescott (Appl. Statist. 41 (1992) 355).