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Variance functions form-grouped cylindrically rotatable designs of type 3

Article

Summary

Formulae for variance of difference between two estimated responses are derived form-grouped first-order and 2-grouped second- and thirdorder cylindrically rotatable designs of type 3.

AMS 1970 subject classification

62K99 

Keywords

Response surface rotatable design variance function 

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References

  1. [1]
    Box, G. E. P. and Draper, N. R. (1980). The variance function of the difference between two estimated responses,J. R. Statist. Soc., B,42, 79–82.MathSciNetzbMATHGoogle Scholar
  2. [2]
    Box, G. E. P. and Hunter, J. S. (1957). Multi-factor experimental designs for exploring response surfaces,Ann. Math. Statist.,28, 195–241.MathSciNetCrossRefGoogle Scholar
  3. [3]
    Das, M. N. and Dey, A. (1967). Group-divisible rotatable designs,Ann. Inst. Statist. Math.,19, 331–347.MathSciNetCrossRefGoogle Scholar
  4. [4]
    Herzberg, A. M. (1967a). The behaviour of the variance function of the difference between two estimated responses,J. R. Statist. Soc., B,29, 174–179.MathSciNetGoogle Scholar
  5. [5]
    Herzberg, A. M. (1967b). Cylindrically rotatable designs of types 1, 2 and 3,Ann. Math. Statist.,38, 167–176.MathSciNetCrossRefGoogle Scholar
  6. [6]
    Huda, S. (1982). Cylindrically rotatable designs of type 3: further considerations,Biom. J.,24, 469–475.MathSciNetCrossRefGoogle Scholar

Copyright information

© The Institute of Statistical Mathematics, Tokyo 1984

Authors and Affiliations

  • S. Huda
    • 1
  1. 1.Indian Statistical InstituteIndia

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