Sequentially Generated Second Order Quasi D-Optimal Designs for Experiments With Mixture and Process Variables

REFERENCES

• Atwood , C. L. 1970 . “Optimal and Efficient Designs of Experiments,” . Ann. Math. Statist. , 40 : 1570 – 1602 .
   Google Scholar
• Cornell , J. A. 1971 . “Process Variables in the Mixture Problems for Categorized Components,” . J. Amer. Statist. Assoc. , 66 : 42 – 48 .
   Web of Science ®Google Scholar
• Cornell , J. A. 1973 . “Experiments With Mixtures: A Review,” . Technometrics , 15 : 437 – 455 .
   Web of Science ®Google Scholar
• Cornell , J. A. 1979 . “Experiments With Mixtures: An Update and Bibliography,” . Technometrics , 21 : 95 – 106 .
   Web of Science ®Google Scholar
• Draper , N. R. and St. John , R. C. 1977 . “Designs in Three and Four Components for Mixtures Models With Inverse Terms,” . Technometrics , 19 : 117 – 130 .
   Web of Science ®Google Scholar
• Farrel , R. H. , Kiefer , J. and Walbran , A. “Optimum Multivariate Designs,” . Proceedings of the Fifth Berkeley Symposium in Mathematical Statistics and Probability . pp. 113 – 138 . University of California Press. .
   Google Scholar
• Fedorov , V. V. 1972 . Theory of Optimal Experiments New York : Academic Press. .
   Google Scholar
• Galil , Z. and Kiefer , J. 1977 . “Comparison of Simplex Designs for Quadratic Mixture Models,” . Technometrics , 19 : 445 – 453 .
   Web of Science ®Google Scholar
• Hare , L. 1979 . “Designs for Mixture Experiments Involving Process Variables,” . Technometrics , 21 : 159 – 173 .
   Web of Science ®Google Scholar
• Kiefer , J. 1959 . “Optimum Experimental Designs,” . J. Roy. Statist. Soc. , 21 : 272 – 319 . Ser. B
   Google Scholar
• Kiefer , J. 1961 . “Optimum Designs in Regression Problems II,” . Ann. Math. Statist. , 32 : 298 – 325 .
   Google Scholar
• Kiefer , J. and Wolfowitz , J. 1960 . “The Equivalence of Two Extremum Problems,” . Can. J. Math. , 12 : 363 – 366 .
   Google Scholar
• Kono , K. 1962 . “Optimum Designs for Quadratic Regression on k-cube,”. ” . In Memoirs of the Faculty of Science Vol. A16 , 114 – 122 . Kyushu University. .
   Google Scholar
• Letzkii , E. K. and Nikiforova , E. S. 1974 . “The Use of the Continuous D-optimal Designs Supports for Generating Exact Designs,” . Zavodskaya Laboratoria , 5 : 562 – 565 . (Russian)
   Google Scholar
• Li , J. 1971 . “Designs of Experiments With Mixtures and Independent Variable Factors,” , Ph.D. dissertation Rutgers University. .
   Google Scholar
• Marquardt , D. W. and Snee , R. D. 1974 . “Test Statistics for Mixture Models,” . Technometrics , 16 : 533 – 537 .
   Web of Science ®Google Scholar
• Mitchell , T. J. 1974a . “An Algorithm for the Construction of “D-optimal” Experimental Designs,” . Technometrics , 16 : 203 – 210 .
   Web of Science ®Google Scholar
• Mitchell , T. J. 1974b . “Computer Construction of “D-optimal” First Order Designs,” . Technometrics , 16 : 211 – 220 .
   Web of Science ®Google Scholar
• Murty , J. S. and Das , M. N. 1968 . “Design and Analysis of Experiments With Mixtures,” . Ann. Math. Statist. , 39 : 1517 – 1539 .
   Google Scholar
• ScheffÉ , H. 1958 . “Experiments With Mixtures,” . J. Roy. Statist. Soc. , 20 : 344 – 360 . Ser. B
   Google Scholar
• ScheffÉ , H. 1963 . “Simplex-centroid Designs for Experiments With Mixtures . J. Roy. Statist. Soc. , 25 : 235 – 263 . Ser. B
   Google Scholar
• Snee , R. D. 1975 . “Experimental Designs for Quadratic Models in Constrained Mixture Spaces,” . Technometrics , 17 : 148 – 159 . Correction, Technometrics, 18, 246
   Google Scholar
• Snee , R. D. and Marquardt , D. W. 1974 . “Extreme Vertices Designs for Linear Mixture Models,” . Technometrics , 16 : 399 – 408 .
   Web of Science ®Google Scholar
• Vuchkov , I. N. 1968 . “Optimal Designs of Experiments for Mathematical Modelling of Technological Processes as a Polynomial Regression,” . Avtomatika i izchislitelna technika , 2 : 17 – 23 . (Bulgarian)
   Google Scholar
• Vuchkov , I. N. 1977 . “A Ridge-type Procedure for Design of Experiments,” . Biometrika , 64 : 147 – 150 .
   Web of Science ®Google Scholar
• Vuchkov , I. N. , Letzkii , E. K. and Krug , G. K. 1969 . “A Method for Sequential Design of Experiments . Trudy MEI , 68 : 20 – 40 . (Russian)
   Google Scholar
• Wynn , H. P. 1970 . “The Sequential Generation of Optimum Experimental Designs,” . Ann. Math. Statist. , 41 : 1655 – 1664 .
   Google Scholar