Summary
A balancedn-ary block design withRK=ΛV of Tocher [4] is completely characterized. It is noted thatB≧V holds for anon-trivial balancedn-ary block design, whereB is the number of blocks andV, the number of treatments.
Similar content being viewed by others
References
Fisher, R. A. (1940). An examination of the different possible solutions of a problem in incomplete blocks,Ann. Eugen.,10, 52–75.
Dey, A. (1975). A note on balanced designs,Sankhyã B,37, 461–462.
Saha, G. M. (1975). On construction of balanced ternary designs.Sankhyã, B37, 220–227.
Tocher, K. D. (1952). Design and analysis of block experiments,J. R. Statist. Soc., B,14, 45–100.
Author information
Authors and Affiliations
About this article
Cite this article
Kageyama, S. Characterization of certain balancedn-ary block designs. Ann Inst Stat Math 32, 107–110 (1980). https://doi.org/10.1007/BF02480316
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF02480316