8. A Screening Experiment in Blocks

  1. Peter Goos1 and
  2. Bradley Jones2

Published Online: 24 JUN 2011

DOI: 10.1002/9781119974017.ch8

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 Screening Experiment in Blocks, in Optimal Design of Experiments: A Case Study Approach, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/9781119974017.ch8

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



  • screening experiment in blocks;
  • ordinary least squares (OLS) regression, standard analytical technique - experiments with fixed block effects;
  • case, stability improvement experiment - random design for stability improvement;
  • variance inflation for D-optimal design - for stability improvement experiment;
  • data for stability improvement experiment;
  • results, from fixed block effects analysis;
  • model for analyzing data, experiment run in b blocks of k observations - additive block effect for every block;
  • use of fixed block effects, that block effects - treated as unknown fixed constants;
  • Goos and Vandebroek (2001), and D-optimal designs - blocked experiments, and random blocks;
  • finding a D-optimal design, fixed block effects - special, limiting, case of random block effects


This chapter contains sections titled:

  • Key concepts

  • Case: the stability improvement experiment

  • Peek into the black box

  • Background reading

  • Summary