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On Some Methods for Construction of B.I.B. Designs

Published online by Cambridge University Press:  20 November 2018

Kulendra N. Majindar
Kulendra N. Majindar*
Affiliation:
Loyola College, Montreal, Quebec
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In this paper some methods for the construction of balanced incomplete block (b.i.b. for conciseness) designs are given. In the last section it is established that the existence of an affine resolvable b.i.b. design implies the existence of two other b.i.b. designs; §§ 6 and 7 are independent of §§ 3, 4, and 5.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 929 - 938
Copyright
Copyright © Canadian Mathematical Society 1968

References

1. Bhagwandas, , A note on balanced incomplete block designs, J. Indian Statist. Assoc. 3 (1965), 41–45.Google Scholar
2. Bose, R. C., A note on the resolvability of balanced incomplete block designs, Sankhya 6 (1942), 105–110.Google Scholar
3. Bose, R. C., Qn ihe construction of balanced incomplete block designs, Ann. of Eugenics 9 (1939), 353–399.Google Scholar
4. Gassner, Betty J., Equal-difference B.I.B. designs, Proc. Amer. Math. Soc. 16 (1965), 378–380.Google Scholar
5. Majumdar, Kulendra N., On some theorems in combinations relating to incomplete block designs, Ann. Math. Statist. 24 (1953), 377–389.Google Scholar
6. Mann, H. B., Analysis and design of experiments (Dover, New York, 1949).Google Scholar
7. Ramanujacharyulu, C., A new series of balanced incomplete designs, Proc. Amer. Math. Soc. 17 (1966), 1064–1068.Google Scholar
8. Sprott, D. A., A note on balanced incomplete block designs, Can. J. Math. 6 (1954), 341–346.Google Scholar