Optimal main effect plans in blocks of small size

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.

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Year of publication:	2007
Authors:	Bose, Mausumi ; Bagchi, Sunanda
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 77.2007, 2, p. 142-147
Publisher:	Elsevier
Keywords:	Saturated main effect plans Orthogonal array Non-orthogonal blocking Universal optimality

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://ebvufind01.dmz1.zbw.eu/10005319334