On the Construction of Balanced and Partially Balanced Ternary Design

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1979 English Publisher:WileyJournal:Biometrical Journal, volume 21, pages 767-772 (issn: 0323-3847, eissn: 1521-4036,

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Authors: Sinha, Kishore; Saha, G. M.;

doi: 10.1002/bimj.4710210808

On the Construction of Balanced and Partially Balanced Ternary Design

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Abstract

AbstractA method of constructing balanced and partially balanced ternary designs from balanced and partially balanced incomplete block designs, respectively, and two methods of constructing partially balanced ternary designs from association schemes are obtained. Two new and efficient balanced ternary designs havingK<VandR≦ 20 are obtained by the first method.

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Keywords

Statistical block designs, association schemes, construction of ternary designs, partially balanced incomplete block designs, Combinatorial aspects of block designs

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