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Technometrics Volume 25, 1983 - Issue 3
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Original Articles

Some Guidelines for Constructing Exact D-Optimal Designs on Convex Design Spaces

Mark E. Johnson Statistics Group Los Alamos National Laboratory, Los Alamos, NM, 87545
&
Christopher J. Nachtsheim Management Information Systems General Mills, Inc., Minneapolis, MN, 55427
Pages 271-277 | Published online: 23 Mar 2012

REFERENCES

  • Box , M. J. and Draper , N. R. 1971 . “Factorial Designs, the |X'X| Criterion, and Some Related Matters,” . Technometrics , 13 : 731 – 742 .
  • Cook , R. D. and Nachtsheim , C. J. 1980 . “A Comparison of Algorithms for Constructing Exact D-Optimal Designs,” . Technometrics , 22 : 315 – 324 .
  • Dykstra , O. 1971 . “The Augmentation of Experimental Data to Maximize | X'X |,” . Technometrics , 13 : 682 – 688 .
  • Evans , J. W. 1979 . “Computer Augmentation of Experimental Designs to Maximize | X'X |,” . Technometrics , 22 : 321 – 330 .
  • Fedorov , V. V. 1972 . Theory of Optimal Experiments Edited by: Studden , W. J. and Klimko , E. M. New York : Academic Press. .
  • Galil , Z. and Kiefer , J. 1980 . “Time- and Space-Saving Computer Methods, Related to Mitchell's DETMAX, for Finding D-Optimum Designs,” . Technometrics , 21 : 301 – 313 .
  • Himmelbrau , D. M. 1972 . Applied Nonlinear Programming San Francisco : McGraw Hill. .
  • Mitchell , T. J. 1974 . “An Algorithm for the Construction of ‘D-optimal’ Experimental Designs,” . Technometrics , 16 : 203 – 210 .
  • Nelder , J. A. and Mead , R. 1965 . “A Simplex Method for Function Minimization,” . The Computer Journal , 7 : 308 – 313 .
  • Powell , M. J. D. 1964 . “An Efficient Method for Finding the Minimum of a Function of Several Variables without Calculating Derivatives,” . The Computer Journal , 7 : 155 – 162 .
  • Wynn , H. P. 1972 . “Results in the Theory and Construction of D-Optimum Experimental Designs,” . Journal of the Royal Statistical Society , 34 : 133 – 147 . Ser. B

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