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On the Evaluation of Some Expressions Concerning the PBIB Designs

Published online by Cambridge University Press:  20 November 2018

Robert Cléroux
Robert Cléroux*
Affiliation:
University of Montreal
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Extract

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Consider a two associate class partially balanced incomplete block (PBIB) design [2] with parameters of the first kind t, b, r, λ,1 λ,2 n1, n2, and parameters of the second kind . Let the letters m, p, l, s represent treatments and define associates of treatment m, λmps = number of times the treatments m, p and s all occur together in the same block, λmpls = number of times the treatments m, p, l and s all occur together in the same block.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 11 , Issue 1 , April 1968 , pp. 107 - 114
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Bose, R.C. and Connor, W. S., Combinatorial properties of group divisible incomplete block designs, Ann. Math. Stat., 23, 1952, pp. 367-383.10.1214/aoms/1177729382Google Scholar
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4. Clatworthy, W. H., Contributions on Partially balanced incomplete block designs with two associate classes. U.S. Nat. Bur. of Standards, Applied Math. Series, 47, 1956.Google Scholar
5. Cleroux, R., Sur la robustesse du test F dans l'analyse intrabloc du schéma à blocs incomplet partiellement équilibre et à deux classes associées". (Doctoral dissertation, Université" de Montréal, 1965).Google Scholar
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