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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 37, 2005 - Issue 2
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Articles

Response Surface Designs within a Split-Plot Structure

G. Geoffrey ViningVirginia Polytechnic Institute and State University, Blackburg, VA24061-0439View further author information
,
Scott M. KowalskiMinitab Inc., State College, PA16801View further author information
&
Douglas C. MontgomeryArizona State University, Tempe, AZ85287-5906View further author information
Pages 115-129 | Published online: 16 Feb 2018

References

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  • Bisgaard, S. and Steinberg, D. M. (1997). “The Design and Analysis of 2k–p Prototype Experiments”. Technometrics 39, pp. 52–62.
  • Box, G. E. P. and Behnken, D. W. (1960). “Some New Three-Level Designs for the Study of Quantitative Variables”. Technometrics 2, pp. 455–475.
  • Box, G. E. P. and Hunter, J. S. (1957). “Multifactor Experimental Designs for Exploring Response Surfaces”. Annals of Mathematical Statistics 28, pp. 195–241.
  • Draper, N. R. and John, J. A. (1998). “Response Surface Designs where Levels of Some Factors Are Difficult to Change”. Australian and New Zealand Journal of Statistics 40, pp. 487–495.
  • Graybill, F. A. (1976). Theory and Application of the Linear Model. Duxbury, North Scituate, MA.
  • Hartley, H. O. (1959). “Smallest Composite Design for Quadratic Response Surfaces”. Biometrics 15, pp. 611–624.
  • Kowalski, S. M.; Cornell, J. A.; and Vining, G. G. (2002). “Mixture Experiments with Process Variables Under Restricted Randomization”. Technometrics 44, pp. 72–79.
  • Letsinger, J. D.; Myers, R. H.; and Lentner, M. (1996). “Response Surface Methods for Bi-Randomization Structures”. Journal of Quality Technology 28, pp. 381–397.
  • McElroy, F. W. (1967). “A Necessary and Sufficient Condition that Ordinary Least Squares Estimators Be Best Linear Unbiased”. Journal of the American Statistical Association 62, pp. 1302–1304.
  • Montgomery, D. C. (2001). Design and Analysis of Experiments, 5th edition. John Wiley & Sons, New York.
  • Trinca, L. A. and Gilmour, S. G. (2001). “Multistratum Response Surface Designs”. Technometrics 43, pp. 25–33.
  • Vining, G. G. and Kowalski, S. M. (2005). “Exact Inference for Response Surface Designs within a Split Plot Structure”. Submitted for publication.
  • Wooding, W. M. (1973). “The Split-Plot Design”. Journal of Quality Technology 5, pp. 16–33.

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