Admissible minimum bias estimation of response surfaces

Bibliography

• Atkinson , A.C. 1992 . Optimum Experimental Designs , Oxford : Clarendon Press .
   Google Scholar
• Atkinson , A.C. 1972 . Planning experiments to detect inadequate regression models . Biometrika , 59 : 275 – 293 .
   Web of Science ®Google Scholar
• Box , G.E.P. and Draper , N.R. 1959 . A Basis for Selection of a Response Surface Design . J, Amer. Statist Assoc , 54 : 622 – 654 .
   Web of Science ®Google Scholar
• Box , George E.P. and Draper , Norman R. 1987 . Empirical Model-Building and Response Surfaces , John Wiley & Sons .
   Google Scholar
• Box , G.E.P. , Hunter , W.G. and Hunter , J.S. 1978 . Statistics for Experimenters , New York : John Wiley & Sons .
   Google Scholar
• Cook , R.Dennis and Nachtsheim , Christopher J. 1982 . Model robust, linear-optimal designs . Technomeirics , 24 : 49 – 54 .
   Web of Science ®Google Scholar
• Cote , R. , Manson , A.R. and Hader , R.J. 1973 . Minimum bias approximation of a general regression model . J. Amer, Statist. Assoc , 68 : 633 – 638 .
   Web of Science ®Google Scholar
• Dette , Holger . 1991 . A note on robust designs for polynomial regression . Journal of Statistical Planning and Inference , 28 : 223 – 232 .
   Google Scholar
• Dette , Holger . 1993 . Bayesian IP-optimal and model robust designs in linear regression models . Statistics , 25 : 27 – 46 .
   Google Scholar
• Draper , Norman R. and Sanders , Elizabeth R. 1988 . Designs for minimum bias estimation . Technomeirics , 30 : 319 – 325 .
   Google Scholar
• Ellerton , Roger R.W. and Tsai , Wei-Yann . 1979 . Minimum bias estimation and the selection of polynomial terms for response surfaces . Biometrics , 35 : 631 – 635 .
   Google Scholar
• Studden , William J. 1988 . Model robust extrapolation designs . Journal of Statistical Planning and Inference , 18 : 1 – 24 .
   Google Scholar
• Karson , M.J. 1970 . Design criterion for minimum bias estimation of response surfaces . J, Amer. Statist Assoc , 65 : 1565 – 1572 .
   Google Scholar
• Karson , M.J. , Manson , A.R. and Hader , R.J. 1969 . Minimum bias estimation and experimental design for response surfaces . Technomeirics , 11 : 461 – 475 .
   Web of Science ®Google Scholar
• Karson , Marvin J. and Spruill , M. Lynn . 1975 . Design criteria and minimum bias estimation . Commun. Statist , 4 : 339 – 356 .
   Google Scholar
• Khuri , A.I. and Cornell , J.A. 1977 . Secondary design considerations for minimum bias estimation . Commun. Statist A - Theory and Methods , 6 : 631 – 647 .
   Google Scholar
• Krouse , Donal P. 1994 . Patterned matrices and the misspecification robustness of 2 kp designs . Commun, Statist. A - Theory and Methods , 23 : 3285 – 3301 .
   Google Scholar
• Liu , Wallace C. and Karson , Marvin J. . Minimum bias estimation and designs for response surface slope . Proceedings of the Business and Economic Statistics Section . pp. 415 – 420 . American Statistical Association .
   Google Scholar
• Lindley , D.V. and Smith , A.M. 1972 . Bayes estimates for the linear model . J. R. Statist. Soc. B , 34 : 1 – 41 . with discussion
   Google Scholar
• Ott , R.L. and Cornell , J.A. 1974 . A comparison of methods which utilize the integrated M.S.E criterion for constructing response surface designs . Commun. Statist A - Theory and Methods , 3 : 1053 – 1068 .
   Google Scholar
• Sacks , Jerome . 1984 . Some model robust designs in regression . Annals of Statist , 12 : 1324 – 1348 .
   Web of Science ®Google Scholar
• Sacks , Jerome and Ylvisaker , Donald . . Model robust design in regression: Bayes theory . Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer . Vol. 2 ,
   Google Scholar
• Seheult , Allan . 1978 . Minimum bias or least squares estimation? . Commun. Statist. A-Theory and Methods , 7 : 277 – 284 .
   Web of Science ®Google Scholar
• Smith , A.F.M. and Verdinelli , I. 1980 . A note on Bayes designs for inference using a hierarchical linear model . Biometrika , 67 : 613 – 619 .
   Web of Science ®Google Scholar
• Spruill , Carl . 1985 . Model robustness of Hoel-Levine optimal designs . Journal of Statistical Planning and Inference , 11 : 217 – 225 .
   Google Scholar
• Steinberg , D.M. 1985 . Model robust response surface designs: scaling two-level factorials . Biometrika , 72 : 513 – 526 .
   Web of Science ®Google Scholar
• Stigler , Stephen M. 1971 . Optimal experimental design for polynomial regression . J. Amer. Statist. Assoc , 66 : 311 – 318 .
   Web of Science ®Google Scholar
• Thompson , William O. 1973 . Secondary criteria in the selection of minimum bias designs in two variables . Technometrics , 15 : 319 – 328 .
   Google Scholar
• Welch , William J. 1983 . A mean squared error criterion for the design of experiments . Biometrika , 70 : 205 – 213 .
   Web of Science ®Google Scholar