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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 30, 1998 - Issue 3
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Articles

Response Surfaces for the Mean and Variance Using a Nonparametric Approach

G. Geoffrey ViningUniversity of Florida, Gainesville, FL32611View further author information
&
Lora L. BohnUniversity of Florida, Gainesville, FL32611View further author information
Pages 282-291 | Published online: 20 Feb 2018

References

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  • Carroll, R. J. and Ruppert, D. (1988). Transformation and Weighting in Regression. Chapman and Hall, New York, NY.
  • Copeland, K. A. F. and Nelson, P. R. (1996). “Dual Response Optimization via Direct Function Minimization”. Journal of Quality Technology 28, pp. 331–336.
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  • Gasser, T. and Müller, H. G. (1979). “Kernel Estimation of Regression Functions” in Smoothing Techniques for Curve Estimation edited by T. Gasser and M. Rosenblatt. Springer-Verlag, Berlin, Germany, pp. 23–68.
  • Gasser, T. and Müller, H. G. (1984). “Estimating Regression Functions and Their Derivatives by the Kernel Method”. Scandinavian Journal of Statistics 11, pp. 171–185.
  • Granovsky, B. L. and Müller, H. G. (1989). “On the Optimality of a Class of Polynomial Kernel Functions”. Statistics and Decisions 7, pp. 301–312.
  • Härdle, W. (1990). Applied Nonparametric Regression. Cambridge University Press, Cambridge, UK.
  • Lin, D. K. J. and Tu, W. (1995). “Dual Response Surface Optimization”. Journal of Quality Technology 27, pp. 34–39.
  • Müller, H. G. (1988). Nonparametric Regression Analysis of Longitudinal Data. Springer-Verlag, Berlin, Germany.
  • Myers, R. H. and Carter, W. H., Jr. (1973). “Response Surface Techniques for Dual Response Systems”. Technometrics 15, pp. 301–317.
  • Myers, R. H. and Montgomery, D. C. (1995). Response Surface Methodology: Process and Product Optimization Using Designed Experiments. John Wiley & Sons, New York, NY.
  • Vetterling, W. T.; Teukolsky, S. A.; Press, W. H.; and Flannery, B. P. (1992). Numerical Recipes: Example Book [Fortran], 2nd. ed. Cambridge University Press, Cambridge, UK, p. 137.
  • Vining, G. G. and Myers, R. H. (1990). “Combining Taguchi and Response Surface Philosophies: A Dual Response Approach”. Journal of Quality Technology 22, pp. 38–45.
  • Vining, G. G. and Schaub, D. (1996). “Experimental Designs for Estimating Both Mean and Variance Functions”. Journal of Quality Technology 28, pp. 135–147.

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