Statistical inference for response surface optima

Dennis K.J. Lin, John J. Peterson

Research output: Chapter in Book/Report/Conference proceedingChapter

5 Citations (Scopus)

Abstract

This chapter is a review of research to date on statistical inference for response surface optima and related parameters. The need for such a review stems from the fact that the majority of literature on response surface optimization addresses only optimization of a fitted response surface. However, replication of the experiment will not produce the exact same response surface. As such, it is important to be able to assign some measures of risk or regions of uncertainty to our response surface optimizations. This chapter is an attempt to bring together and review most of the research that has been done on statistical inference for response surface optima and related parameters, such as the eigenvalues of the symmetric matrix of regression coefficients for the popular second-order polynomial model. This review will also include a review of research done on statistical inference for multiple response surfaces.

Original languageEnglish (US)
Title of host publicationResponse Surface Methodology and Related Topics
PublisherWorld Scientific Publishing Co.
Pages65-88
Number of pages24
ISBN (Electronic)9789812774736
ISBN (Print)9812564586, 9789812564580
DOIs
StatePublished - Jan 1 2006

Fingerprint

Response Surface
Statistical Inference
Optimization
Multiple Responses
Second-order Model
Polynomial Model
Regression Coefficient
Symmetric matrix
Replication
Assign
Review
Eigenvalue
Uncertainty
Experiment

All Science Journal Classification (ASJC) codes

  • Engineering(all)
  • Mathematics(all)

Cite this

Lin, D. K. J., & Peterson, J. J. (2006). Statistical inference for response surface optima. In Response Surface Methodology and Related Topics (pp. 65-88). World Scientific Publishing Co.. https://doi.org/10.1142/9789812774736_0004
Lin, Dennis K.J. ; Peterson, John J. / Statistical inference for response surface optima. Response Surface Methodology and Related Topics. World Scientific Publishing Co., 2006. pp. 65-88
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Lin, DKJ & Peterson, JJ 2006, Statistical inference for response surface optima. in Response Surface Methodology and Related Topics. World Scientific Publishing Co., pp. 65-88. https://doi.org/10.1142/9789812774736_0004

Statistical inference for response surface optima. / Lin, Dennis K.J.; Peterson, John J.

Response Surface Methodology and Related Topics. World Scientific Publishing Co., 2006. p. 65-88.

Research output: Chapter in Book/Report/Conference proceedingChapter

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Lin DKJ, Peterson JJ. Statistical inference for response surface optima. In Response Surface Methodology and Related Topics. World Scientific Publishing Co. 2006. p. 65-88 https://doi.org/10.1142/9789812774736_0004