Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series B, Pt. 2, pp. 259--266

CONSTRUCTION OF GENERALIZED BINARY PROPER EFFICIENCY-BALANCED BLOCK DESIGNS WITH TWO DIFFERENT REPLICATION NUMBERS

By

LEFTERIS ANGELIS and CHRONIS MOYSSIADIS, Aristotle University of Thessaloniki

SANPEI KAGEYAMA, Hiroshima University

SUMMARY. Necessary and sufficient conditions for a generalized binary proper block design with two different replication numbers to be efficiency-balanced (EB) are given. Binary block designs such as balanced incomplete block designs, group divisible designs, balanced treatment incomplete block designs and balanced bipartite block designs are used here to construct generalized binary proper EB designs with two different replication numbers whose existence has been an open problem.

AMS (1980) subject classification. Primary 62K05; secondary 05B05, 62K10.

Key words and phrases. EB design, BIB design, BTIB design, GD design, balanced bipartite block design, incidence matrix.

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