Hostname: page-component-586b7cd67f-2brh9 Total loading time: 0 Render date: 2024-11-26T11:41:32.893Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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