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Original Articles

Experimental Designs Optimally Balanced for Trend

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Pages 333-341 | Published online: 12 Mar 2012

REFERENCES

  • Atkinson , A. C. and Donev , A. N. 1989 . “The Construction of Exact D-Optimum Experimental Designs With Application to Blocking Response Surface Designs,” . Biometrika , 76 : 515 – 526 .
  • Atkinson , A. C. and Donev , A. N. 1992 . Optimum Experimental Designs , Oxford , , U.K. : Oxford University Press .
  • Bailey , R. A. 1982 . “The Decomposition of Treatment Degrees of Freedom in Quantitative Factorial Experiments,” . Journal of the Royal Statistical Society, Ser. B , 44 : 63 – 70 .
  • Bailey , R. A. , Cheng , C.-S. and Kipnis , P. 1992 . “Construction of TrendResistant Factorial Designs,” . Statistica Sinica , 2 : 393 – 411 .
  • Bates , D. 1983 . “The Derivative of |X'X| and Its Uses,” . Technometrics , 25 : 373 – 376 .
  • Bohachevsky , I. O. , Johnson , M. E. and Stein , M. L. 1986 . “Generalized Simulated Annealing for Function Optimization,” . Technometrics , 28 : 209 – 217 .
  • Box , G. E. P. 1952 . “Multifactor Designs of First Order,” . Biometrika , 39 : 49 – 57 .
  • Cheng , C.-S. 1990 . “Construction of Run Orders of Factorial Designs,” . In Statistical Design and Analysis of Industrial Experiments , Edited by: Ghosh , S. 423 – 439 . New York : Marcel Dekker .
  • Cheng , C.-S. and Steinberg , D. M. 1991 . “Trend Robust Two-Level Factorial Designs,” . Biometrika , 78 : 325 – 336 .
  • Cook , R. D. and Nachtsheim , C. J. 1989 . “Computer-aided Blocking of Factorial and Response Surface Designs,” . Technometrics , 31 : 339 – 346 .
  • Cox , D. R. 1951 . “Some Systematic Experimental Designs,” . Biometrika , 38 : 312 – 323 .
  • Cox , D. R. 1958 . Planning of Experiments , New York : John Wiley .
  • 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 .
  • Fedorov , V. V. 1989 . “Optimal Design With Bounded Density: Optimization Algorithms of the Exchange Type,” . Journal of Statistical Planning and Inference , 22 : 1 – 13 .
  • Hardin , R. H. and Sloan , N. J. A. 1993 . “A New Approach to the Construction of Optimal Designs,” . Journal of Statistical Planning and Inference , 37 : 339 – 369 .
  • Jacroux , M. and Ray , R. S. 1990 . “On the Construction of Trend-Free Run Orders of Treatments,” . Biometrika , 77 : 187 – 191 .
  • John , P. W. M. 1990 . “Time Trends and Factorial Experiments,” . Technometrics , 32 : 275 – 282 .
  • Kiefer , J. 1959 . “Optimum Experimental Designs” (with discussion) . Journal of the Royal Statistical Society, Ser. B , 21 : 272 – 319 .
  • Meyer , R. K. and Nachtsheim , C. J. 1995 . “The Coordinate Exchange Algorithm for Constructing Exact Optimal Experimental Designs,” . Technometrics , 37 : 60 – 69 .
  • Mitchell , T. J. 1974 . “An Algorithm for the Construction of ‘D-Optimum’ Experimental Designs,” . Technometrics , 16 : 203 – 210 .
  • Yeh , C.-M. , Bradley , R. A. and Notz , W. I. 1985 . “Nearly Trend-Free Block Designs,” . Journal of the American Statistical Association , 80 : 985 – 992 .

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