37
Views
26
CrossRef citations to date
0
Altmetric
Original Articles

D-Optimal Fractions of Three-Level Factorial Designs

&
Pages 369-380 | Published online: 09 Apr 2012

REFERENCES

  • Addelman , S. 1962 . Symmetrical and asymmetrical fractional factorial plans . Technometrics , 4 : 47 – 57 .
  • Addelman , S. 1963 . Techniques for constructing fractional replicate plans . J. Amer. Statist. Assoc. , 58 : 45 – 71 .
  • Atkinson , A. C. 1973 . Multifactor second order designs for cuboidal regions . Biometrika , 60 : 15 – 19 .
  • Atwood , C. L. 1969 . Optimal and efficient designs of experiments . Ann. Math. Statist. , 40 : 1570 – 1602 .
  • Box , G. E. P. and Behnken , D. W. 1960 . Some new three level designs for the study of quantitative variables . Technometrics , 2 : 445 – 475 .
  • Box , G. E. P. and Hunter , J. S. 1961 . The 2k~p fractional factorial designs, part I . Technometrics , 3 : 311 – 351 .
  • Box , G. E. P. and Hunter , W. G. Sequential design of experiments for nonlinear models. IBM Scientific Computing Symposium in Statistics . pp. 113 – 137 .
  • Box , G. E. P. and Wilson , K. B. 1951 . On the experimental attainment of optimum conditions . J. Roy. Statist. Soc. B , 13 : 1 – 45 .
  • Box , M. J. and Draper , N. R. 1974 . On minimum-point second-order designs . Technometrics , 16 : 613 – 616 .
  • Chakravarti , I. M. 1961 . On some methods of construction of partially balanced arrays . Ann. Math. Statist. , 32 : 1181 – 1185 .
  • Connor , W. S. and Zelen , M. 1959 . Fractional factorial experimental designs for factors at three levels. National Bureau of Standards Applied Mathematics Series 54
  • Davies , O. L. 1956 . The Design and Analysis of Industrial Experiments. New York : Hafner. .
  • Dubova , I. S. and Fedorov , V. V. 1972 . Tables of optimum designs II (saturated D-optimal designs on a cube). Interfaculty Laboratory of Statistical Methods, Moscow University. . Preprint No. 40 (in Russian)
  • Fry , R. E. 1961 . Finding new fractions of factorial experimental designs . Technometrics , 3 : 359 – 370 .
  • Hartley , H. O. 1959 . Smallest composite designs for quadratic response surfaces . Biometrics , 15 : 611 – 624 .
  • Hoke , A. T. 1974 . Economical second-order designs based on irregular fractions of the 3” factorial . Technometrics , 16 : 375 – 384 .
  • Hoke , A. T. 1975 . The characteristic polynomial of the information matrix for second-order models . Ann. Statist. , 3 : 780 – 786 .
  • Kiefer , J. 1961 . Optimum designs in regression problems II . Ann. Math. Statist. , 32 : 298 – 325 .
  • KÔNo , K. 1962 . Optimum design for quadratic regression on the i-cube . Mem. Fac. Sci. Kyushi Univ. A , 16 : 114 – 122 .
  • Lucas , J. M. 1974 . Optimum composite designs . Technometrics , 16 : 561 – 567 .
  • Lucas , J. M. 1976 . Which response surface design is best . Technometrics , 18 : 411 – 417 .
  • Mitchell , T. J. 1974 . An algorithm for the construction of D-optimal experimental designs . Technometrics , 16 : 203 – 210 .
  • Mitchell , T. J. and Bayne , C. K. 1976 . D-optimal fractions of three-level factorial designs. 22161 Springfield , VA : National Technical Information Service, U.S. Dept. of Commerce. . ORNL/CSD-19, 5285 Port Royal Road
  • Morris , M. D. and Mitchell , T. J. 1977 . Designs for the detection of inadequacy in factorial models 22161 Springfield , VA : National Technical Information Service, U.S. Dept. of Commerce, 5285 Port Royal Road. . ORNL/CSD/TM-30
  • Nalimov , V. V. , Golikova , T. I. and Mikeshina , N. G. 1970 . On practical use of the concept of D-optimality . Technometrics , 12 : 799 – 812 .
  • Pesotchinsky , L. L. 1975 . D-optimum and quasi-Z)-optimum second-order designs on a cube . Biometrika , 62 : 335 – 340 .
  • Rechtschaffner , R. L. 1967 . Saturated fractions of 2n and 3n factorial designs . Technometrics , 9 : 569 – 575 .
  • St. John , R. C. and Draper , N. R. 1975 . D-optimality for regression designs: a review . Technometrics , 17 : 15 – 23 .
  • Srivastava , J. N. and Chopra , D. V. 1971 . On the characteristic roots of the information matrix of 2mbalanced factorial designs of resolution V, with applications . Ann. Math. Statist. , 42 : 722 – 734 .
  • Webb , S. R. 1971 . Small incomplete factorial experiment designs for two- and three-level factors . Technometrics , 13 : 243 – 256 .

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.