5. A Response Surface Design in an Irregularly Shaped Design Region

  1. Peter Goos1 and
  2. Bradley Jones2

Published Online: 24 JUN 2011

DOI: 10.1002/9781119974017.ch5

Optimal Design of Experiments: A Case Study Approach

Optimal Design of Experiments: A Case Study Approach

How to Cite

Goos, P. and Jones, B. (2011) A Response Surface Design in an Irregularly Shaped Design Region, in Optimal Design of Experiments: A Case Study Approach, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119974017.ch5

Author Information

  1. 1

    University of Antwerp and Erasmus University Rotterdam, Netherlands

  2. 2

    JMP Division of SAS, UK

Publication History

  1. Published Online: 24 JUN 2011
  2. Published Print: 1 JUL 2011

ISBN Information

Print ISBN: 9780470744611

Online ISBN: 9781119974017

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Keywords:

  • response surface design - in an irregularly shaped design region;
  • quadratic effects, not sufficient - capturing all curvature, in factor–response relationship;
  • designing experiment, behavior of a chemical reaction - using full cubic model in two factors;
  • case, yield maximization experiment;
  • optimal design for new yield maximization experiment - and constrained experimental region;
  • data, for new yield maximization experiment;
  • data analysis, from new yield maximization experiment - full model;
  • lack-of-fit test, for simplified model based on data - from new yield maximization experiments;
  • cubic effects, useful - in modeling data from mixture experiments;
  • factor constraint incorporation - in design construction algorithm

Summary

This chapter contains sections titled:

  • Key concepts

  • Case: the yield maximization experiment

  • Peek into the black box

  • Background reading

  • Summary