Optimal main effect plans in blocks of small size

Mausumi Bose and Sunanda Bagchi

Statistics & Probability Letters, 2007, vol. 77, issue 2, 142-147

Abstract: In this paper we first construct an universally optimal main effect plan (MEP) for an ss experiment on s2(s-1)/2 nonorthogonal blocks of size two each, s a power of 2. Next we derive another set of sufficient conditions for an MEP on nonorthogonal blocks requiring a smaller number of blocks. These conditions are used to obtain universally optimal saturated MEPs in blocks of size 2 for (i) 42 experiment on 6 blocks and (ii) 52x22 on 10 blocks.

Keywords: Saturated; main; effect; plans; Orthogonal; array; Non-orthogonal; blocking; Universal; optimality (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (7)

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