Three-Dimensional Variance Dispersion Graphs for Mixture-Process Experiments

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

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

In a mixture experiment, the design factors are the proportions of the components of a mixture, and the response variables depend only on these component proportions. In addition to the mixture components, the experimenter may be interested in other variables that can be varied independently of one another and of the mixture components. Such mixture-process experiments are common in industry. There are many strategies based on different design criteria that are used to create designs involving both types of variables. We develop variance dispersion graphs (VDGs) to evaluate mixture-process designs and illustrate how the graphs are used with two examples.

Original languageEnglish (US)
Pages (from-to)109-124
Number of pages16
JournalJournal of Quality Technology
Volume36
Issue number1
StatePublished - Jan 2004

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Three-dimensional
Graph in graph theory
Experiment
Proportion
Experiments
Mixture Design
Mixture Experiments
Process Design
Industry
Graph
Evaluate
Process design
Design
Strategy

Keywords

  • Mixture Experiments
  • Prediction Variance
  • Variance Dispersion Graphs

ASJC Scopus subject areas

  • Industrial and Manufacturing Engineering
  • Statistics and Probability
  • Management Science and Operations Research

Cite this

Goldfarb, H. B., Borror, C. M., Montgomery, D., & Anderson-Cook, C. M. (2004). Three-Dimensional Variance Dispersion Graphs for Mixture-Process Experiments. Journal of Quality Technology, 36(1), 109-124.

Three-Dimensional Variance Dispersion Graphs for Mixture-Process Experiments. / Goldfarb, Heidi B.; Borror, Connie M.; Montgomery, Douglas; Anderson-Cook, Christine M.

In: Journal of Quality Technology, Vol. 36, No. 1, 01.2004, p. 109-124.

Research output: Contribution to journalArticle

Goldfarb, HB, Borror, CM, Montgomery, D & Anderson-Cook, CM 2004, 'Three-Dimensional Variance Dispersion Graphs for Mixture-Process Experiments', Journal of Quality Technology, vol. 36, no. 1, pp. 109-124.
Goldfarb, Heidi B. ; Borror, Connie M. ; Montgomery, Douglas ; Anderson-Cook, Christine M. / Three-Dimensional Variance Dispersion Graphs for Mixture-Process Experiments. In: Journal of Quality Technology. 2004 ; Vol. 36, No. 1. pp. 109-124.
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