ALIAS RELATIONSHIP FOR TWO-LEVEL PLACKETT AND BURMAN DESIGNS.

Abstract

Plackett and Burman provided two-level experimental designs which allow N-1 variables to be examined in N runs where N is a multiple of 4 between 4 and 100 (except for 92). When N is also a power of two, the Plackett and Burman designs are identical with one or other of the families of 2 sub III (k-p) designs. The alias relationships for 2 sub III (k-p) type designs are easily obtained through the methods provided by Box and Hunter. Alias relationships for the other Plackett and Burman type designs are, however, much more complicated and not readily available. The authors obtain the alias relationships for the N = 12 run design and provide a short University of Wisconsin Computing Center CDC Fortran 60 program which will enable the reader to obtain other alias relationships if he so wishes. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1966
Accession Number
AD0647416

Entities

People

  • David M. Stoneman
  • Norman Richard Draper

Organizations

  • University of Wisconsin–Madison

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  • Wisconsin

Fields of Study

  • Mathematics

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  • Approximation Theory.
  • Economics
  • Integrated Circuit Design and Technology.