Fraction of design space plots for assessing mixture and mixture-process designs

Heidi B. Goldfarb, Christine M. Anderson-Cook, Connie M. Borror, Douglas Montgomery

Research output: Contribution to journalArticle

39 Scopus citations

Abstract

Variance dispersion graphs are useful tools for evaluating various types of designs, including mixture and mixture-process designs. They allow an experimenter to see patterns of scaled prediction variances (SPV) throughout a design space. We introduce a complementary fraction of design space (FDS) plot that provides additional information on the distribution of the SPV throughout a design space. These plots display the fraction of design space where the SPV is less than or equal to specific values. The FDS plots for combined mixture-process experiments also show which of the two types of variables has more influence on the SPV. The FDS plots for mixture and mixture-process experiments are developed and then demonstrated with several examples.

Original languageEnglish (US)
Pages (from-to)169-179
Number of pages11
JournalJournal of Quality Technology
Volume36
Issue number2
DOIs
StatePublished - Apr 2004

Keywords

  • Fraction of Design Space Plot
  • Mixture Experiments
  • Scaled Prediction Variance
  • Variance Dispersion Graphs

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

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