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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 24, 1992 - Issue 1
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Articles

Variance Dispersion Properties of Second-Order Response Surface Designs

Raymond H. MyersVirginia Polytechnic Institute and State University, Blacksburg, VA24061View further author information
,
G. Geoffrey ViningUniversity of Florida, Gainesville, FL32611View further author information
,
Ann Giovannitti-JensenBF Goodrich Chemical Group, Avon Lake, OH44012View further author information
&
Sharon L. MyersRadford University, Radford, VA24141View further author information
Pages 1-11 | Published online: 21 Feb 2018

References

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  • Box, G. E. P. and Draper, N. R. (1959). “A Basis for the Selection of a Response Surface Design”. Journal of the American Statistical Association 54, pp. 622–654.
  • Box, G. E. P. and Draper, N. R. (1963). “The Choice of a Second Order Rotatable Design”. Biometrika 50, pp. 335–352.
  • Box, G. E. P. and Draper, N. R. (1987). Empirical Model-Building and Response Surfaces. John Wiley & Sons, New York, NY.
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  • Box, M. J. and Draper, N. R. (1971). “Factorial Designs, the Chi prime % Chi Criterion, and Some Related Matters”. Technometrics 13, pp. 731–742.
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  • Draper, N. R. and Lin, D. K. J. (1990). “Small Response Surface Designs”. Technometrics 32, pp. 187–194.
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  • Hartley, H. O. (1959). “Smallest Composite Design for Quadratic Response Surfaces”. Biometrics 15, pp. 611–624.
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  • Khuri, A. I. and Cornell, J. A. (1987). Response Surfaces. Marcel Dekker, New York, NY.
  • Lucas, J. M. (1974). “Optimum Composite Designs”. Technometrics 16, pp. 561–567.
  • Lucas, J. M. (1976). “Which Response Surface Design is Best”. Technometrics 18, pp. 411–417.
  • Myers, R. H. (1976). Response Surface Methodology. Department of Statistics, Virginia Polytechnic Institute and State University, Blacksburg, VA.
  • Nalimov, V. V.; Golikova, T. I.; and Mikeshina, N. G. (1970). “On Practical Use of the Concept of D-Optimality”. Technometrics 12, pp. 799–812.
  • Notz, W. (1982). “Minimal Point Second Order Designs”. Journal of Statistical Planning and Inference 6, pp. 47–58.
  • Ott, L. and Cornell, J. A. (1974). “A Comparison of Methods Which Utilize the Integrated M.S.E. Criterion for Constructing Response Surface Designs”. Communications in Statistics 3, pp. 1053–1068.
  • Roquemore, K. G. (1976). “Hybrid Designs for Quadratic Response Surfaces”. Technometrics 18, pp. 419–423.
  • Vining, G. (1988). “Algorithm for Comparing Response Surface Designs”. Technical Report No. 88–3, Department of Statistics, Virginia Polytechnic Institute and State University, Blacksburg, VA.
  • Westlake, W. J. (1965). “Composite Designs Based on Irregular Fractions of Factorials”. Biometrics 21, pp. 324–36.

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