Hostname: page-component-7b7567c8c-kwt9d Total loading time: 0 Render date: 2026-11-12T20:30:08.050Z Has data issue: false hasContentIssue false
  • English
  • Français

Kiss-Precise Sequential Rotatable Designs

Published online by Cambridge University Press:  20 November 2018

Agnes M. Herzberg,
C. W. L. Garner and
B. G. F. Springer
Agnes M. Herzberg
Affiliation:
Imperial College, London England
C. W. L. Garner
Affiliation:
Carleton University, Ottawa Canada
B. G. F. Springer
Affiliation:
University of the West Indies, Trinidad
Rights & Permissions [Opens in a new window]

Summary

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the 'Save PDF' action button.

A sequential procedure for the exploration of response surfaces is proposed. The procedure, which is for experiments with two factors, uses the kiss-precise configuration, i.e., the design points are on circles in mutual contact at each stage. Only three points need be added at each stage and the design points form a first-order rotatable design. A second-degree surface may be fitted when a near stationary region is reached.

Information

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 16 , Issue 2 , June 1973, pp. 207 - 217
Copyright
Copyright © Canadian Mathematical Society 1973

References

1. Box, G. E. P. and Hunter, J.S., Multi-factor experimental designs for exploring response surfaces, Ann. Math. Statist. 28 (1957), 195–241.Google Scholar
2. Coxeter, H. S. M., Regular Poly topes, 2nd ed., MacMillan, London, 1963.Google Scholar
3. Draper, N. R., Third order rotatable designs in three dimensions, Ann. Math. Statist. 31 (1960), 865–874.Google Scholar
4. Gardiner, D. A., Grandage, A.H.E., and Hader, R.J., Third order rotatable designs for exploring response surfaces, Ann. Math. Statist. 30 (1959), 1082–1096.Google Scholar
5. Kiefer, J. and Wolfowitz, J., Stochastic estimation of the maximum of a regression function, Ann. Math. Statist. 29 (1952), 41–59.Google Scholar
6. Soddy, F., The kiss-precise, Nature, London 137 (1936), p. 1021.Google Scholar
7. Spendley, W., Hext, G.R., and Himsworth, F.R., Sequential application of simplex designs in optimisation and evolutionary operation, Technometrics 4 (1962), 441–461.Google Scholar
8. Springer, B. G. F., Numerical optimization in the presence of random variability. The single factor case, Biometrika 56 (1969), 65–74.Google Scholar