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Nesting Plackett-Burman designs

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  • John, Peter W. M.

Abstract

Engineers often perform the runs in an experiment one after another in a sequence of nested designs. It would be desirable, for example, if an experimenter who is planning a Plackett-Burman design for p factors in twenty points could order them so that the first twelve points and the first sixteen points are also Plackett-Burman designs. Unfortunately, if 4 [less-than-or-equals, slant] p [less-than-or-equals, slant] 7, one cannot add four more points to or delete four points from a Plackett Burman design and obtain another Plackett Burman design. It follows that any Plackett Burman design for four factors in twelve runs must contain a pair of duplicate points and any such design for twenty points must have at least five duplicates.

Suggested Citation

  • John, Peter W. M., 1996. "Nesting Plackett-Burman designs," Statistics & Probability Letters, Elsevier, vol. 27(3), pages 221-223, April.
  • Handle: RePEc:eee:stapro:v:27:y:1996:i:3:p:221-223
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