249
Views
62
CrossRef citations to date
0
Altmetric
Original Articles

Follow-Up Designs to Resolve Confounding in Multifactor Experiments

, &
Pages 303-313 | Published online: 12 Mar 2012

REFERENCES

  • Atkinson , A. C. and Cox , D. R. 1974 . “Planning Experiments for Discriminating Between Models” (with discussion) . Journal of the Royal Statistical Society, Ser. B , 36 : 321 – 348 .
  • Atkinson , A. C. and Fedorov , V. V. 1975a . “The Design of Experiments for Discriminating Between Two Rival Models,” . Biometrika , 62 : 57 – 70 .
  • Atkinson , A. C. and Fedorov , V. V. 1975b . “Optimal Design: Experiments for Discriminating Between Several Models,” . Biometrika , 62 : 289 – 303 .
  • Bisgaard , S. and Steinberg , D. M. 1993 . “The Design and Analysis of 2kp × S Prototype Experiments,” , Center for Quality and Productivity Improvement . Technical Report 90, University of Wisconsin-Madison
  • Box , G. E. P. 1992 . “Sequential Experimentation and Sequential Assembly of Designs,” . Quality Engineering , 5 : 321 – 330 .
  • Box , G. E. P. and Hill , W. J. 1967 . “Discrimination Among Mechanistic Models,” . Technometrics , 9 : 57 – 71 .
  • Box , G. E. P. and Hunter , J. S. 1961 . “The 2 k–p Fractional Factorial Designs, Part I,” . Technometrics , 3 : 311 – 351 .
  • Box , G. E. P. , Hunter , W. G. and Hunter , J. S. 1978 . Statistics for Experimenters , New York : John Wiley .
  • Box , G. E. P. and Meyer , R. D. 1986 . “An Analysis for Unreplicated Fractional Factorials,” . Technometrics , 28 : 11 – 18 .
  • Box , G. E. P. and Meyer , R. D. 1993 . “Finding the Active Factors in Fractionated Screening Experiments,” . Journal of Quality Technology , 25 : 94 – 105 .
  • Box , G. E. P. and Tyssedal , J. 1994 . “Projective Properties of Certain Orthogonal Arrays,” , University of Wisconsin-Madison, Center for Quality and Productivity Improvement . Report 116
  • Box , G. E. P. and Wilson , K. B. 1951 . “On the Experimental Attainment of Optimum Conditions” (with discussion) . Journal of the Royal Statistical Society, Ser. B , 13 : 1 – 45 .
  • Chaloner , K. 1984 . “Optimal Bayesian Experimental Design for Linear Models,” . The Annals of Statistics , 12 : 283 – 300 .
  • Covey-Crump , P. A. K. and Silvey , S. D. 1970 . “Optimal Regression Designs With Previous Observations,” . Biometrika , 57 : 551 – 566 .
  • Daniel , C. 1962 . “Sequences of Fractional Replicates in the 2p–q Series,” . Journal of the American Statistical Association , 58 : 403 – 429 .
  • Daniel , C. 1976 . Applications of Statistics to Industrial Experimentation , New York : John Wiley .
  • Draper , N. R. and Guttman , I. 1992 . “Treating Bias as Variance for Experimental Design Purposes,” . Annals of the Institute of Statistical Mathematics , 44 : 659 – 671 .
  • 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 .
  • Evans , J. W. 1979 . “Computer Augmentation of Experimental Designs to Maximize |X′X|,” . Technometrics , 21 : 321 – 330 .
  • Finney , D. J. 1945 . “The Fractional Replication of Factorial Arrangements,” . Annals of Eugenics , 12 : 291 – 301 .
  • Fries , A. and Hunter , W. G. 1980 . “Minimum Aberration 2 k–p Designs,” . Technometrics , 22 : 601 – 608 .
  • Hall , M. J. 1961 . “Hadamard Matrices of Order 16,” . Jet Propulsion Laboratory , : 21 – 26 . Summary I
  • Hebble , T. L. and Mitchell , T. J. 1972 . “Repairing Response Surface Designs,” . Technometrics , 14 : 767 – 779 .
  • Jones , E. R. and Mitchell , T. J. 1978 . “Design Criteria for Detecting Model Inadequacy,” . Biometrika , 65 : 541 – 551 .
  • Margolin , B. H. 1969 . “Results on Factorial Designs of Resolution IV for the 2 n and 2 n 3 m Series,” . Technometrics , 11 : 431 – 444 .
  • Mitchell , T. J. and Miller , F. L. Jr. 1970 . “Use of Design Repair to Construct Designs for Special Linear Models,” , Oak Ridge , TN : Oak Ridge National Laboratory . Mathematical Division Annual Progress Report (ORNL-4661)
  • Plackett , R. L. and Burman , J. P. 1945 . “The Design of Optimum Multifactorial Experiments,” . Biometrika , 33 : 328 – 332 . 305 – 325 .
  • Steinberg , D. M. 1985 . “Model Robust Response Surface Designs: Scaling Two-Level Factorials,” . Biometrika , 72 : 513 – 526 .
  • Wynn , H. P. 1972 . “Results in the Theory and Construction of D-Optimum Experimental Designs,” . Journal of the Royal Statistical Society, Ser. B , 34 : 133 – 147 . (with discussion 170–185)

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.