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Connected row-column \(L\)-designs for symmetrical parallel line assays with two preparations. (English) Zbl 1476.62167

Summary: For parallel line assays with two preparations, an \(L\)-design is an equireplicated design that accommodates the estimation of three specific contrasts of primary interest with full efficiency. We provide necessary and sufficient conditions for the existence of connected \(L\)-designs for symmetrical parallel line assays with two preparations that are conducted in a row-column design.

MSC:

62K10 Statistical block designs
62P10 Applications of statistics to biology and medical sciences; meta analysis
05B15 Orthogonal arrays, Latin squares, Room squares
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