Optimal Designs under a Certain Class of Non-Orthogonal Row-Column Structure

So far the study of optimality of block designs (eliminating heterogeneity in two directions) has been confined exclusively to situations where the row-column incidence structure is orthogonal (in the sense that all cells are non-empty). In this article we pose and solve the optimality problem (for...

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Veröffentlicht in:Sankhyā. Series B 1986-04, Vol.48 (1), p.44-67
1. Verfasser: Ray, Rita Saha
Format: Artikel
Sprache:eng
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Zusammenfassung:So far the study of optimality of block designs (eliminating heterogeneity in two directions) has been confined exclusively to situations where the row-column incidence structure is orthogonal (in the sense that all cells are non-empty). In this article we pose and solve the optimality problem (for inferring on a full set of orthonormal treatment contrasts) in the setting of block designs involving b × b arrays where all the cells along a transversal are empty. For b = 1 (mod v) universally optimal designs are available and for b = 0 (mod v) A-, D-, and E-optimal designs have been characterised and constructed.
ISSN:0581-5738