Run order considerations for Plackett and Burman designs

Kevin R. Quinlan, Dennis K.J. Lin

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Run order considerations for two-level full and fractional factorial designs have been studied in depth, but are lacking for Plackett and Burman designs. We look at the level change problems in Plackett and Burman designs. When a systematic run order is appropriate (as opposed to the conventional random run order), minimizing level changes implies the minimization of experiment costs. We thus aim to find optimal run orders with respect to minimizing level changes. It is shown that level changes are a constant for saturated Plackett and Burman designs. Methods for obtaining the minimum/maximum level changes are given. Tables with example run orders for the cases where N= 12 and N= 20 are tabulated for practical uses. By finding minimum level change designs, we also produce maximum level change designs and such results can be directly extended to Trend Robust designs.

Original languageEnglish (US)
Pages (from-to)56-62
Number of pages7
JournalJournal of Statistical Planning and Inference
Volume165
DOIs
StatePublished - Oct 1 2015

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Fractional Factorial Design
Robust Design
Tables
Design
Imply
Costs
Experiment
Experiments
Trends
Robust design
Factorial design

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Cite this

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title = "Run order considerations for Plackett and Burman designs",
abstract = "Run order considerations for two-level full and fractional factorial designs have been studied in depth, but are lacking for Plackett and Burman designs. We look at the level change problems in Plackett and Burman designs. When a systematic run order is appropriate (as opposed to the conventional random run order), minimizing level changes implies the minimization of experiment costs. We thus aim to find optimal run orders with respect to minimizing level changes. It is shown that level changes are a constant for saturated Plackett and Burman designs. Methods for obtaining the minimum/maximum level changes are given. Tables with example run orders for the cases where N= 12 and N= 20 are tabulated for practical uses. By finding minimum level change designs, we also produce maximum level change designs and such results can be directly extended to Trend Robust designs.",
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Run order considerations for Plackett and Burman designs. / Quinlan, Kevin R.; Lin, Dennis K.J.

In: Journal of Statistical Planning and Inference, Vol. 165, 01.10.2015, p. 56-62.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Run order considerations for Plackett and Burman designs

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AU - Lin, Dennis K.J.

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