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Block designs for symmetric parallel line assays with block size odd. (English) Zbl 1193.62140
Summary: In a parallel line assay, there are three treatment contrasts of major importance. Block designs allowing the estimability of all the three contrasts free from block effects, called \(L\)-designs, necessarily have even block sizes. For odd block sizes, we provide a class of highly efficient designs, called nearly \(L\)-designs. These nearly \(L\)-designs have been constructed by establishing a link with linear and nearly linear trend-free designs.

MSC:
62K10 Statistical block designs
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