Sankhya: The Indian Journal of Statistics

2004, Volume 66, Pt. 2, 378--384

Optimal Main Effect Plans with Non-Orthogonal Blocks

Ashish Das and Aloke Dey ,  Indian Statistical Institute, New Delhi, India

SUMMARY. Work on obtaining optimal main effect plans in non-orthogonal blocks was initiated recently by Mukerjee, Dey and Chatterjee (2002), who gave a set of sufficient conditions for a main effect plan to be universally optimal under possible non-orthogonal blocking and also suggested a construction procedure for obtaining such block designs. Their method is however, not applicable for all factorials. In this paper, a new construction procedure is given for situations where the procedure of Mukerjee {\it et al}. (2002) is inapplicable.

AMS (1991) subject classification.  62K15.

Key words and phrases. Balanced block design, orthogonal array, universal optimality, E-optimality.

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