Experimental Designs for Model Discrimination

References

• Atkinson , A. C. 1972 . Planning Experiments to Detect Inadequate Regression Models . Biometrika , 59 : 275 – 293 .
   Web of Science ®Google Scholar
• Atkinson , A. C. and Cox , D. R. 1974 . Planning Experiments for Discriminating Between Models . Journal of the Royal Statistical Society , 36 : 321 – 334 . (with discussion), Ser. B
   Google Scholar
• Atkinson , A. C. and Fedorov , V. V. 1975a . The Design of Experiments for Discriminating Between Two Rival Models . Biometrika , 62 : 57 – 70 .
   Web of Science ®Google Scholar
• Atkinson , A. C. and Fedorov , V. V. 1975b . Optimal Design: Experiments for Discriminating Between Several Models . Biometrika , 62 : 289 – 303 .
   Web of Science ®Google Scholar
• Balinski , M. L. and Young , H. P. 1982 . Fair Representation , New Haven , CT : Yale University Press .
   Google Scholar
• 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 : 622 – 654 .
   Web of Science ®Google Scholar
• Bunke , H. and Bunke , O. 1986 . Statistical Inference in Linear Models. Statistical Methods of Model Building , Volume I , Chichester , , UK : John Wiley .
   Google Scholar
• Chaloner , K. 1984 . Optimal Bayesian Experimental Design for Linear Models . The Annals of Statistics , 12 : 283 – 300 . Corrigendum, 13, 836
   Web of Science ®Google Scholar
• Cook , R. D. and Nachtsheim , C. J. 1982 . Model Robust, Linear-Optimal Designs . Technometrics , 24 : 49 – 54 .
   Web of Science ®Google Scholar
• Covey-Crump , P. A. K. and Silvey , S. D. 1970 . Optimal Regression Designs with Previous Observations . Biometrika , 57 : 551 – 566 .
   Web of Science ®Google Scholar
• Dette , H. 1990 . A Generalization of D- and D1-Optimal Designs in Polynomial Regression . The Annals of Statistics , 18 : 1784 – 1804 .
   Web of Science ®Google Scholar
• Fedorov , V. V. 1972 . Theory of Optimal Experiments , New York : Academic Press .
   Google Scholar
• Gaffke , N. 1981 . Some Classes of Optimality Criteria and Optimal Designs for Complete Two-Way Layouts . The Annals of Statistics , 9 : 893 – 898 .
   Web of Science ®Google Scholar
• Hunter , W. G. and Reiner , A. M. 1965 . Designs for Discriminating Between Two Rival Models . Technometrics , 7 : 307 – 323 .
   Web of Science ®Google Scholar
• Kiefer , J. C. 1959 . Optimum Experimental Designs . Journal of the Royal Statistical Society , 21 : 272 – 304 . (with discussion), Ser. B
   Google Scholar
• Kiefer , J. C. 1974 . General Equivalence Theory for Optimum Designs (Approximate Theory) . The Annals of Statistics , 2 : 849 – 879 .
   Web of Science ®Google Scholar
• Kiefer , J. C. and Wolfowitz , J. 1959 . Optimum Designs in Regression Problems . The Annals of Mathematical Statistics , 30 : 271 – 294 .
   Google Scholar
• Kiefer , J. C. and Wolfowitz , J. 1960 . The Equivalence of Two Extremum Problems . Canadian Journal of Mathematics , 12 : 363 – 366 .
   Google Scholar
• Lau , T.-S. 1988 . D-Optimal Designs on the Unit Q-Ball . Journal of Statistical Planning and Inference , 19 : 299 – 315 .
   Web of Science ®Google Scholar
• Lau , T.-S. and Studden , W. J. 1985 . Optimal Designs for Trigonometric and Polynomial Regression Using Canonical Moments . The Annals of Statistics , 13 : 383 – 394 .
   Web of Science ®Google Scholar
• Läuter , E. 1974 . Experimental Design in a Class of Models . Mathematische Operationsforschung und Statistik , 5 : 379 – 398 .
   Google Scholar
• Läuter , E. 1976 . Optimal Multipurpose Designs for Regression Models . Mathematische Operationsforschung und Statistik , 7 : 51 – 68 .
   Google Scholar
• Lee , C. M.-S. 1987 . Constrained Optimal Designs for Regression Models . Communications in Statistics, Part A–Theory and Methods , 16 : 765 – 783 .
   Web of Science ®Google Scholar
• Lee , C. M.-S. 1988 . Constrained Optimal Designs . Journal of Statistical Planning and Inference , 18 : 377 – 389 .
   Web of Science ®Google Scholar
• Lim , Y. B. and Studden , W. J. 1988 . Efficient Ds-Optimal Design for Multivariate Polynomial Regression on the Q-Cube . The Annals of Statistics , 16 : 1225 – 1240 .
   Web of Science ®Google Scholar
• Pukelsheim , F. 1980 . On Linear Regression Designs Which Maximize Information . Journal of Statistical Planning and Inference , 4 : 339 – 364 .
   Web of Science ®Google Scholar
• Pukelsheim , F. 1993 . Optimal Design of Experiment , New York : John Wiley .
   Google Scholar
• Stigler , S. M. 1971 . Optimal Experimental Design for Polynomial Regression . Journal of the American Statistical Association , 66 : 311 – 318 .
   Web of Science ®Google Scholar
• Studden , W. J. 1968 . Optimal Designs on Tchebycheff Points . The Annals of Mathematical Statistics , 39 : 1435 – 1447 .
   Google Scholar
• Studden , W. J. 1982 . Some Robust-Type D-Optimal Designs in Polynomial Regression . Journal of the American Statistical Association , 77 : 916 – 921 .
   Web of Science ®Google Scholar
• Welch , W. J. 1982 . Branch-and-Bound Search for Experimental Designs Based on D-Optimality and Other Criteria . Technometrics , 24 : 41 – 48 .
   Web of Science ®Google Scholar
• Wynn , H. P. 1977 . “ Optimum Designs for Finite Populations Sampling ” . In Statistical Decision Theory and Related Topics II , Edited by: Gupta , S. S. and Moore , D. S. 471 – 478 . New York : Academic Press .
   Google Scholar
• Wynn , H. P. 1982 . “ Optimum Submeasures with Application to Finite Population Sampling ” . In Statistical Decision Theory and Related Topics III , Edited by: Gupta , S. S. and Berger , J. O. Vol. 2 , 485 – 495 . New York : Academic Press .
   Google Scholar