Skip to main content

An Algorithm for the Construction of Experi-mental Designs with Fixed and Random Blocks

  • Conference paper
Compstat
  • 1096 Accesses

Abstract

This paper is concerned with the design of experiments where the relationship between a response variable of interest and a number of quantitative variables is studied. The observations have to be divided into blocks. Some of the block effects are regarded as random while others as fixed. An algorithmic approach to the construction of such designs is shown to be very successful.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • Atkinson, A.C. and Donev, A.N. (1989) The construction of exact D-optimum experimental designs with application to blocking response surface designs, Biometrika, 76, 515–526.

    MathSciNet  MATH  Google Scholar 

  • Atkinson, A.C. and Donev, A.N. (1992) Optimum Experimental Design, Oxford: Clarendon Press.

    Google Scholar 

  • Brown, H. and Prescott, R. (1999). Applied Mixed Models in Medicine. Wiley.

    MATH  Google Scholar 

  • Cook, R.D. and Nachtsheim, C.J. (1989) Computer-aided blocking of factorial and response-surface designs, Technometrics, 31, 339–346.

    Article  MATH  Google Scholar 

  • Goos, P. and Vandebroek, M. (2001) Optimal response surface designs in the presence of random block effects, Computational Statistics and Data Analysis, 37, 433–453.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2002 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Goos, P., Donev, A.N., Vandebroek, M. (2002). An Algorithm for the Construction of Experi-mental Designs with Fixed and Random Blocks. In: Härdle, W., Rönz, B. (eds) Compstat. Physica, Heidelberg. https://doi.org/10.1007/978-3-642-57489-4_18

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-57489-4_18

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-1517-7

  • Online ISBN: 978-3-642-57489-4

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics