A construction of balanced arrays of strengtht and some related incomplete block designs |
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Authors: | G M Saha B K Samanta |
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Institution: | (1) Indian Statistical Institute, India;(2) Jute Agricultural Research Institute, India |
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Abstract: | Summary Saha 6] has shown the equivalence between a ‘tactical system’ (or at-design) and a 2-symbol balanced array (BA) of strengtht. The implicit method of construction of BA in that paper has been generalized herein to that of ans-symbol BA of strengtht. Some BIB and PBIB designs are also constructed from these arrays. Majindar 2], Vanstone 8] and Saha 6] have all shown
that the existence of a symmetrical BIBD forv treatments implies the existence of six more BIBD's forv treatments in (v/2) blocks. An analogue of this result has been obtained for a large class of PBIB designs in this paper. |
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Keywords: | Balanced array balanced incomplete block design partially balanced incomplete block design dual of an incomplete block design |
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