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Balanced Incomplete Block Designs
Journal of the Institute of Actuaries, 1970In my earlier paper I expressed disappointment at failure to find b.i.b.d.s for the case ν= 4p, k = 4, b = ½ν(ν−1), λ = 6 (p is an odd prime). The failure was not complete because I had given a solution for ν = p + 1, k = 4, λ = 6 which covered the cases of ν = 4p where ν−1 was also a prime.
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N-way balanced incomplete block designs
Journal of Statistical Planning and Inference, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Construction of Nested Balanced Incomplete Block Designs
Calcutta Statistical Association Bulletin, 1986A set of general methods for constructing Nested Balanced Incomplete Block Designs is presented. These methods lead to the solution of some new designs.
Dey, A., Das, U. S., Banerjee, A. K.
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Resolvable Balanced Incomplete Block Designs with Block Size 8
Designs, Codes and Cryptography, 1997A balanced incomplete block design (BIBD) \(D\) is a collection \(B\) of subsets (blocks) taken from a finite set \(V\) of \(v\) elements with the properties: (1) every pair of distinct elements of \(V\) is contained in precisely \(\lambda\) blocks of \(B\), and (2) every block contains exactly \(k\) elements.
Greig, Malcolm, Abel, Julian
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A Note on Balanced Incomplete Block Designs
Canadian Journal of Mathematics, 1954A balanced incomplete block design is defined as an arrangement of v objects in b blocks, each block containing k objects all different, so that there are r blocks containing a given object and λ blocks containing any two given objects. Such designs have been studied for their combinatorial interest, as in (3), and also for their application to ...
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Residual Reduced Balanced Incomplete Block Design
American Journal of Theoretical and Applied Statistics, 2023Troon John Benedict +2 more
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