References

  • Cochran, W. G. and Cox, G. M. (1957), Experimental Designs, 2nd Edition, New York: John Wiley & Sons.

  • Cook, R. D. and Nachtsheim, C. J. (1980), “A Comparison of Algorithms for Constructing Exact D-Optimal Designs,” Technometrics, 22, 315–324.

  • Cook, R. D. and Nachtsheim, C. J. (1989), “Computer-Aided Blocking of Factorial and Response-Surface Designs,” Technometrics, 31, 339–346.

  • DuMouchel, W. and Jones, B. (1994), “A Simple Bayesian Modification of D-Optimal Designs to Reduce Dependence on an Assumed Model,” Technometrics, 36, 37–47.

  • Dykstra, O., Jr. (1971), “The Augmentation of Experimental Data to Maximize $|\mb {X}’\mb {X}|$,” Technometrics, 13, 682–688.

  • Fedorov, V. V. (1972), Theory of Optimal Experiments, New York: Academic Press, trans. and ed. by W. J. Studden and E. M. Klimko.

  • Galil, Z. and Kiefer, J. (1980), “Time- and Space-Saving Computer Methods, Related to Mitchell’s DETMAX, for Finding D-Optimum Designs,” Technometrics, 22, 301–313.

  • Harville, D. A. (1974), “Nearly Optimal Allocation of Experimental Units Using Observed Covariate Values,” Technometrics, 16, 589–599.

  • Johnson, M. E., Moore, L. M., and Ylvisaker, D. (1990), “Minimax and Maximin Distance Designs,” Journal of Statistical Planning and Inference, 26, 131–148.

  • Johnson, M. E. and Nachtsheim, C. J. (1983), “Some Guidelines for Constructing Exact D-Optimal Designs on Convex Design Spaces,” Technometrics, 25, 271–277.

  • Mitchell, T. J. (1974a), “An Algorithm for the Construction of D-Optimal Experimental Designs,” Technometrics, 16, 203–210.

  • Mitchell, T. J. (1974b), “Computer Construction of 'D-optimal' First-Order Designs,” Technometrics, 20, 211–220.

  • Mitchell, T. J. and Miller, F. L., Jr. (1970), Use of Design Repair to Construct Designs for Special Linear Models, Mathematics Division Annual Progress Report ORNL-4661, Oak Ridge National Laboratory.

  • Nguyen, N.-K. and Miller, A. J. (1992), “A Review of Exchange Algorithms for Constructing Discrete D-Optimal Designs,” Computational Statistics and Data Analysis, 14, 489–498.

  • Nguyen, N.-K. and Piepel, G. F. (2005), “Computer-Generated Experimental Designs for Irregular-Shaped Regions,” Quality Technology and Quantitative Management, 2, 147–160.

  • Searle, S. R. (1971), Linear Models, New York: John Wiley & Sons.

  • Snee, R. D. (1985), “Computer-Aided Design of Experiments—Some Practical Experiences,” Journal of Quality Technology, 17, 222–236.