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Technometrics Volume 16, 1974 - Issue 2
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Original Articles

Computer Construction of “D-Optimal” First-Order Designs

Toby J. Mitchell Union Carbide Corp, Nuclear Division, P. O. Box Y, Oak Ridge, Tennessee
Pages 211-220 | Published online: 09 Apr 2012

References

  • Box , M. J. and Draper , N. R. 1971 . Factorial designs, the |X'X| criterion, and some related matters . Technometrics , 13 : 731 – 742 .
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  • Box , G. E. P. and Wilson , K. B. 1951 . On the experimental attainment of optimum conditions . J. R. Statist. Soc. Series B , 13 : 1 – 45 .
  • Dykstra , O. 1971 . The augmentation of experimental data to maximize |X'X| . Technometrics , 13 : 682 – 688 .
  • Kiefer , J. 1958 . On non-randomized optimality and randomized non-optimality of-symmetrical designs . Ann. Math. Statist. , 29 : 675 – 699 .
  • Kishen , K. 1945 . On the design of experiments for weighing and making other types of measurements . Ann. Math. Statist. , 16 : 294 – 300 .
  • Mitchell , T. J. 1972 . An algorithm for the construction of “D-optimal” experimental designs, applied to first-order models Oak Ridge , Tennessee : Oak Ridge National Laboratory. . ORNL-4777
  • Mood , A. M. 1946 . On Hotelling's weighing problem . Ann. Math. Statist. , 17 : 432 – 446 .
  • Plackett , R. L. 1950 . Some theorems in least squares . Biometrika , 37 : 149 – 157 .
  • Plackett , R. L. and Burman , J. P. 1946 . The design of optimum multifactorial experiments . Biometrika , 33 : 305 – 325 .
  • Raghavarao , D. 1959 . Some optimum weighing designs . Ann. Math. Statist. , 30 : 295 – 303 .
  • Raghavarao , D. 1960 . Some aspects of weighing designs . Ann. Math. Statist. , 31 : 878 – 889 .
  • Srivastava , J. N. and Anderson , D. A. 1970 . Optimal fractional factorial plans for main effects orthogonal to two-factor interactions: 2m series . J. Amer. Statist. Assoc. , 65 : 828 – 843 .
  • Webb , S. R. 1967 . Results on non-orthogonal incomplete factorial designs Wright-Patterson AFB , Ohio : Aerospace Research Laboratories, Office of Aerospace Research, USAF. . ARL 67–0021
  • Webb , S. R. 1968 . Non-orthogonal designs of even resolution . Technometrics , 10 : 291 – 299 .
  • Wynn , H. P. 1970 . The sequential generation of D-optimum experimental designs . Ann. Math. Statist. , 41 : 1655 – 1664 .
  • Yang , C. H. 1968 . On designs of maximal (+1, −1)—matrices of order n ≡ 2(mod 4) . Mathematics of Computation , 22 : 174 – 180 .

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