Advanced search
Publication Cover
Communications in Statistics - Theory and Methods Volume 27, 1998 - Issue 11
Submit an article Journal homepage
36
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Slope-rotatable designs with equal maximum directional variance for second order response surface models

Sung H. Park Department of Computer Science and Statistics, Seoul National University, Seoul, 151-742, Korea
&
Hyo T. Kwon Department of Computer Science and Statistics, Seoul National University, Seoul, 151-742, Korea
Pages 2837-2851 | Received 01 Dec 1996, Published online: 27 Jun 2007

References

  • Atkinson , A. C. 1970 . The Design of Experiments to Estimate the Slope of a Response Surface . Binm.rinln , 57 : 319 – 328 .
  • Box , G. E. P. and Draper , N. R. 1980 . The Variance Function of the Difference Between Two Estimated Responses . Journal of the Royal Statistical Society , 42 : 79 – 82 .
  • Box , G. E. P. and Hunter , J.S. 1957 . Multi-Factor Experimental De¬signs for Exploring Response Surfaces . Annals of Mathematical Statistics , 28 : 195 – 241 .
  • Draper , N. R. and Ying , L. H. 1994 . A Note on Slope Rotatability over All Directions . Journal of Statistical Planning and Inference , 41 : 113 – 119 .
  • Hader , R. J. and Park , S. H. 1978 . Slope-Rotatable Central Compos ite Designs . Tech n owe tries , 20 : 413 – 417 .
  • Herzberg , A. M. 1967 . The Behavior of the Variance Function of the Difference between Two Estimated Responses . Journal of the Royal Statistical Society , 29 : 174 – 179 .
  • Huda , S. and Mukerjee , R. 1984 . Minimizing the Maximum Variance or the Difference Between Two Estimated Responses . Biometrika , 71 : 381 – 385 .
  • Jang , D. H. and Park , S. H. 1993 . A Measure and a Graphical Method for Evaluating Slope Rotatability in Response Surface Designs . Communi¬cations in Statistics: Theory and Method , 22 : 1849 – 1863 .
  • Mukerjee , R. and Huda , S. 1985 . Minimax Second- and Third- Order Designs to Estimate the Slope of a Response Surface . Biometrika, , 72 : 173 – 178 .
  • Murty , V. N. and Studden , W. J. 1972 . Optimal Designs for Es¬timating the Slope of a Polynomial Regression . Journal of the American Statistical Association , 67 : 869 – 873 .
  • Ott , L. and Mendenhall , W. 1972 . Designs for Estimating the Slope of a Second Order Linear Model . Technometrics , 14 : 341 – 353 .
  • Park , S. H. 1987 . A Class of Multifactor Designs for Estimating the Slope of Response Surfaces . Technometrics , 29 : 449 – 453 .
  • Park , S. H. and Kim , H. J. 1992 . A Measure of Slope Rotatability for Second Order Response Surface Experimental Design . Journal of Applied Statistics , 19 : 391 – 404 .
  • Ying , L. H. , Pukelsheim , F. and Draper , N. R. 1995 . Slope Rotata¬bility over All Directions Designs . Journal of Applied Statistics , 22 : 331 – 341 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.