A General Approach to Ridge Analysis With Confidence Intervals

REFERENCES

• Arnold , S. F. 1981 . The Theory of Linear Models and Multivariate Analysis New York : John Wiley. .
   Google Scholar
• Bishop , Y. , Fienberg , S. and Holland , P. 1975 . Discrete Multivariate Analysis New York : John Wiley. .
   Google Scholar
• Box , G. E. P. and Draper , N. R. 1987 . Empirical Model Building and Response Surfaces New York : John Wiley. .
   Google Scholar
• Box , G. E. P. and Hunter , J. S. 1957 . “Multi-factor Experimental Designs for Exploring Response Surfaces,” . The Annals of Mathematical Statistics , 28 : 195 – 241 .
   Google Scholar
• Carter , W. H. , Chinchilli , V. M. and Campbell , E. D. 1990 . “A Large Sample Confidence Region Useful in the Characterization of the Stationary Point of a Response Surface,” . Technometrics , 32 : 425 – 535 .
   Web of Science ®Google Scholar
• Carter , W. H. , Chinchilli , V. M. , Myers , R. H. and Campbell , E. D. 1986 . “Confidence Intervals and an Improved Ridge Analysis of Response Surfaces,” . Technometrics , 28 : 339 – 346 .
   Web of Science ®Google Scholar
• Carter , W. H. , Wampler , G. L. and Stablein , D. M. 1983 . Regression Analysis of Survival Data in Cancer Chemotherapy New York : Marcel Dekker. .
   Google Scholar
• Clarke , G. P. Y. 1987 . “Approximate Confidence Limits for a Parameter Function in Nonlinear Regression,” . Journal of the American Statistical Association , 82 : 221 – 230 .
   Web of Science ®Google Scholar
• Cornell , J. A. 1981 . Experiments With Mixtures New York : John Wiley. .
   Google Scholar
• Cox , D. R. 1971 . “A Note on Polynomial Response Functions for Mixtures,” . Biometrika , 58 : 155 – 159 .
   Web of Science ®Google Scholar
• Draper , N. R. 1963 . “Ridge Analysis of Response Surfaces,” . Technometrics , 5 : 469 – 479 .
   Web of Science ®Google Scholar
• Draper , N. R. and St. John , R. C. 1977 . “A Mixtures Model With Inverse Terms,” . Technometrics , 19 : 37 – 45 .
   Web of Science ®Google Scholar
• Hoerl , R. W. 1985 . “Ridge Analysis 25 Years Later,” . The American Statistician , 39 : 186 – 192 .
   Web of Science ®Google Scholar
• Hoerl , R. W. 1987 . “The Application of Ridge Techniques to Mixture Data: Ridge Analysis,” . Technometrics , 29 : 161 – 172 .
   Web of Science ®Google Scholar
• Khuri , A. I. and Cornell , J. A. 1987 . Response Surfaces: Designs and Analyses New York : Marcel Dekker. .
   Google Scholar
• Khuri , A. I. and Myers , R. H. 1979 . “Modified Ridge Analysis,” . Technometrics , 21 : 467 – 473 .
   Web of Science ®Google Scholar
• McLean , R. A. and Anderson , V. L. 1966 . “Extreme Vertices Design of Mixture Experiments,” . Technometrics , 8 : 447 – 454 .
   Web of Science ®Google Scholar
• Miller , R. G. 1981 . Simultaneous Statistical Inference, , 2nd ed. New York : Springer-Verlag. .
   Google Scholar
• Myers , R. H. 1976 . Response Surface Methodology Ann Arbor , MI : Edwards Brothers. .
   Google Scholar
• Nelder , J. A. 1966 . “Inverse Polynomials, A Useful Group of Multifactor Response Functions,” . Biometrics , 22 : 128 – 141 .
   Web of Science ®Google Scholar
• Nelder , J. A. and Mead , R. 1965 . “A Simplex Method for Function Minimization,” . The Computer Journal , 7 : 308 – 313 .
   Web of Science ®Google Scholar
• Peterson , J. J. “Computing Asymptotic Confidence Bands for Nonlinear Regression Models,” . Transactions of the Fourth Army Conference on Applied Mathematics and Computing . pp. 787 – 795 . Ithaca , NY : Cornell University. . ARO Report 87–1
   Google Scholar
• Peterson , J. J. 1992 . “A General Approach to Ridge Analysis With Confidence Intervals,” King of Prussia , PA : SmithKline Beecham Pharmaceuticals Research and Development. . Research Statistics Technical Report
   Google Scholar
• Piepel , G. F. 1982 . “Measuring Component Effects in Constrained Mixture Experiments,” . Technometrics , 24 : 29 – 39 .
   Web of Science ®Google Scholar
• Price , W. L. 1977 . “A Controlled Random Search Procedure for Global Optimisation,” . The Computer Journal , 20 : 367 – 370 .
   Web of Science ®Google Scholar
• SpjØtvoll , E. 1972 . “Multiple Comparison of Regression Functions,” . The Annals of Statistics , 43 : 1076 – 1088 .
   Web of Science ®Google Scholar
• Staniswalis , J. G. and Cooper , V. 1988 . “Kernel Estimates of Dose Response,” . Biometrics , 44 : 1103 – 1119 .
   PubMed Web of Science ®Google Scholar
• Thompson , W. O. and Myers , R. H. 1968 . “Response Surface Designs for Experiments with Mixtures,” . Technometrics , 10 : 738 – 756 .
   Web of Science ®Google Scholar
• Westlake , W. J. 1962 . “A Numerical Analysis Problem In Constrained Quadratic Regression Analysis,” . Technometrics , 4 : 426 – 430 .
   Web of Science ®Google Scholar