7. A Response Surface Design in Blocks

  1. Peter Goos1 and
  2. Bradley Jones2

Published Online: 24 JUN 2011

DOI: 10.1002/9781119974017.ch7

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 Blocks, in Optimal Design of Experiments: A Case Study Approach, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119974017.ch7

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 blocks;
  • blocking factor, factors - not under direct control of investigators;
  • real-world constraints, model form - block sizes, runs making it impossible, optimal blocking an alternative;
  • mixed models, better fit using generalized least squares (GLS) - than ordinary least squares (OLS);
  • case, pastry dough experiment - factors, factor levels, pastry dough mixing experiment;
  • D-optimal design, pastry dough experiment - in engineering units;
  • efficiency factors, and variance inflation factors (VIFs) - for D-optimal design, pastry dough mixing experiment;
  • restricted maximum likelihood (REML) estimation;
  • optimal design of blocked experiments - in solving two decision problems, simultaneously;
  • sources of variation, identification - as blocking factors, in planning experimental studies

Summary

This chapter contains sections titled:

  • Key concepts

  • Case: the pastry dough experiment

  • Peek into the black box

  • Background reading

  • Summary