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Original Articles

Two-Level Multifactor Designs for Detecting the Presence of Interactions

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Pages 345-355 | Published online: 23 Mar 2012

REFERENCES

  • Atkinson , A. C. and Fedorov , V. V. 1975 . “The Design of Experiments for Discriminating Between Rival Models,” . Biometrika , 62 : 57 – 70 .
  • Box , G. E. P. 1954 . “Some Theorems on Quadratic Forms Applied in the Study of Analysis of Variance Problems, I. Effect of Inequality of Variance in the One-way Classification,” . The Annals of Mathematical Statistics , 25 : 290 – 302 .
  • Box , G. E. P. and Hunter , J. S. 1961 . “The 2k – p” Fractional Factorial Designs (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 Wilson , K. B. 1951 . “On the Experimental Attainment of Optimum Conditions,” . Journal of the Royal Statistical Society , 13 : 1 – 45 . Ser. B
  • Fries , A. and Hunter , W. G. 1980 . Minimum Aberration 2k – p Designs,” . Technometrics , 22 : 601 – 608 .
  • Galil , Z. and Kiefer , J. 1980 . “D-optimum Weighing Designs,” . The Annals of Statistics , 8 : 1293 – 1306 .
  • Jones , E. R. and Mitchell , T. J. 1978 . “Design Criteria for Detecting Model Inadequacy,” . Biometrika , 65 : 541 – 551 .
  • 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 , 16 : 211 – 220 .
  • Morris , M. D. and Mitchell , T. J. 1977 . “Designs for the Detection of Inadequacy in Factorial Models,” ORNL/CSD/TM-30, available from National Technical Information Service, 5285 Port Royal Road, Springfield, VA 22161
  • Morris , M. D. and Mitchell , T. J. 1980 . “Two-level Multifactor Experiment Designs for Detecting the Presence of Interactions, Technical Report No. 2112, available from the Mathematics Research Center, University of Wisconsin-Madison, 610 Walnut Street, Madison, WI 53706
  • Morris , M. D. and Mitchell , T. J. 1983 . “Two-level Multifactor Compromise Designs for Fitting First Order Models and Testing for Lack of Fit,” ORNL/CSD-126, available from National Technical Information Service, 5285 Port Royal Road, Springfield, VA 22161
  • Ott , L. J. and Hedrick , R. A. 1977 . “ORINC–A One-dimensional Implicit Approach to the Inverse Heat Conduction Problem Oak Ridge , Tennessee : Oak Ridge National Laboratory. . ORNL/NUREG-23
  • Plackett , R. L. and Burman , J. P. 1946 . “The Design of Optimal Multifactorial Experiments,” . Biometrika , 33 : 305 – 325 .
  • Raghavarao , D. 1959 . “Some Optimum Weighing Designs,” . The Annals of Mathematical Statistics , 30 : 295 – 303 .
  • Srivastava , J. N. and Anderson , D. A. 1970 . “Optimal Fractional Factorial Plans for Main Effects Orthogonal to Two-factor Interactions: 2m Series,” . Journal of the American Statistical Association , 65 : 828 – 843 .
  • Watson , G. S. 1961 . A Study of the Group-screening Method,” . Technometrics , 3 : 371 – 388 .

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