Sankhya: The Indian Journal of Statistics

1994, Volume 56, Series B, Pt. 3 , pp. 434 - 445

CONNECTEDNESS AND PATTERNS OF CONFOUNDING IN A CLASS OF CYCLIC PBIB DESIGNS

By

BASUDEB ADHIKARI , Calcutta University

and

TAPAS KUMAR SAHA, National Sample Survey

SUMMARY. This paper presents a necessary and sufficient condition for connectedness of a class of PBIB designs with higher associate cyclic association scheme which have inter-effect orthogonality. The problem of identifying the confounded contrasts in these designs, when they are disconnected, is also considered. A method based on association matrices is also given for constructing such symmetrical block designs with prespecified confounding patterns.

AMS (1980) subject classification. 62K10, 62K15.

Key words and phrases. Connectedness, higher associate cyclic association scheme, PBIB designs, factorial experiment, confounding pattern.

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This article in mathematical reviews.