Skip to main content

Split-Plot and Robust Designs: Weighting and Optimization in the Multiple Response Case

  • Conference paper
  • First Online:
mODa 9 – Advances in Model-Oriented Design and Analysis

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

This paper deals with experimental planning and optimization in response surface methodology. It aims at addressing two main issues: i) the optimization of a split-plot design in the multiple response case by the use of a robust-design approach and ii) the related problem of weighting the responses according to the actual importance of these variables and the target values when performing simultaneous optimization. An application to the study of a Numerical Control machine in order to improve the accuracy of the measurement process and to reduce the measurement time is presented.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

  • Berni, R. and C. Gonnelli. (2006). Planning and optimization of a numerical control machine in a multiple response case. Quality Reliability Engineering International 22, 517–526.

    Article  Google Scholar 

  • Berni, R. (2009). Response Surface Methodology and multiple response case: optimization measures, developments and comparisons. in G.I. Hayworth (ed.) Reliability Engineering Advances. New York: Nova Science Publishers, 287–304.

    Google Scholar 

  • Box, G.E.P. and S. Jones (1992). Split-plot designs for robust product experimentation. Journal of Applied Statistics 19 , 3–26.

    Article  Google Scholar 

  • Cochran, W. G. and G. M. Cox (1957). Experimental Designs, 2nd edn. New York, Wiley.

    MATH  Google Scholar 

  • Derringer, G. and R. Suich (1980). Simultaneous optimization of several response variables. Journal of Quality Technology 12, 214–219.

    Google Scholar 

  • Khuri, A.I. and M. Conlon (1981). Simultaneous optimization of multiple responses represented by polynomial regression functions. Technometrics 23,363–375.

    Article  MATH  Google Scholar 

  • Miró-Quesada, G. and E. Del Castillo (2004). Two approaches for improving the dual response method in robust parameter design. Journal of Quality Technology 36, 155–168.

    Google Scholar 

  • Robinson, T.J., W.A. Brenneman and W.R. Myers (2006). Process optimization via robust parameter design when categorical noise factors are present. Quality Reliability Engineering International 22, 307–320.

    Article  Google Scholar 

  • Vining,G.G., S. Kowalski and D.C. Montgomery (2005). Response surface designs within a split-plot structure. Journal of Quality Technology 37, 115–129.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rossella Berni .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Berni, R. (2010). Split-Plot and Robust Designs: Weighting and Optimization in the Multiple Response Case. In: Giovagnoli, A., Atkinson, A., Torsney, B., May, C. (eds) mODa 9 – Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2410-0_4

Download citation

Publish with us

Policies and ethics