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Equireplicate balanced block designs with nested rows and columns with at most two unequal block sizes. (English) Zbl 0887.62082

Methods of constructing universally optimal equireplicate balanced block designs with nested rows and columns with at most two unequal block sizes are given. The universal optimality is based upon a homoscedastic fixed effects model. Homoscedasticity is somewhat questionable when the block sizes differ considerably. A list of parameters of 115 designs and their solutions are given.

MSC:

62K05 Optimal statistical designs
62K10 Statistical block designs
05B05 Combinatorial aspects of block designs
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