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Summary

By modifying the restrictions imposed on the levels of the factors in a second order rotatable design, an alternative series of response surface designs has been obtained. Thev factors of the design have been split into two groups, and the design is rotatable for each group of factors when the levels of the factors in the other group are held constant. As such, the designs have been called ‘group-divisible rotatable designs’.

Several methods of their construction, analysis and also some methods of blocking have been discussed.

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References

  1. R. C. Bose and N. R. Draper, “Second order rotatable designs in three dimensions,”Ann. Math. Statist., 30 (1959), 1097–1107.

    Article  MATH  MathSciNet  Google Scholar 

  2. G. E. P. Box and J. S. Hunter, “Multi-factor experimental designs for exploring response surfaces,”Ann. Math. Statist., 28 (1957), 195–241.

    Article  MATH  MathSciNet  Google Scholar 

  3. M. N. Das, “Construction of rotatable designs from factorial designs,”Jour. Indian. Soc. Agric. Statist., 13 (1961).

  4. M. N. Das and V. L. Narasimham, “Construction of rotatable designs through B.I.B. designs,”Ann. Math. Statist., 33, (1962), 1421–1439.

    Article  MATH  MathSciNet  Google Scholar 

  5. M. N. Das, “Construction of second order rotatable designs through B.I.B. designs with unequal block sizes,”Cal. Statist. Ass. Bull., 12 (1963), 31–46.

    MATH  Google Scholar 

  6. M. N. Das and B. S. Gill, “Blocking rotatable designs for agricultural experimentation”,paper sent to Biometrics for publication.

  7. D. A. Gardiner, A. H. E. Grandage and R. J. Hader, “Third order rotatable designs for exploring response surfaces,”Ann. Math. Statist., 30 (1959), 1082–1096.

    Article  MATH  MathSciNet  Google Scholar 

  8. A. M. Herzberg, “Cylindrically rotatable designs,”Ann. Math. Statist., 37 (1966), 242–274.

    Article  MATH  MathSciNet  Google Scholar 

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Das, M.N., Dey, A. Group-divisible rotatable designs. Ann Inst Stat Math 19, 331–347 (1967). https://doi.org/10.1007/BF02911684

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  • DOI: https://doi.org/10.1007/BF02911684

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