Results 151 to 160 of about 171,423 (192)

On Covering of Balanced Incomplete Block Designs

Canadian Journal of Mathematics, 1964
Given a set E of v elements and given positive integers k (k ≤ v) and λ, we understand by balanced incomplete block design (BIBD) B [k, λ, v] a system of blocks (subsets of E) having k elements each such that every pair of elements of E is contained in exactly λ blocks.A necessary condition for the existence of a design B [k, λ, v] is known to be (4)
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Nearly Balanced Incomplete Block Designs

Biometrika, 1981
Abstract : A class of nearly balanced incomplete block designs is defined. This extends the concept of regular graph designs of John and Mitchell (1977) to the unequally replicated case. Some necessary conditions on the existence of such designs are derived. Methods of construction are given for some special cases. For five or six varieties, the 'best'
Cheng, Ching-Shui, Wu, Chien-Fu
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Balanced Incomplete Block Designs with Block Size 7

Designs, Codes and Cryptography, 1998
This paper makes considerable progress in fully determining the spectrum of balanced incomplete block designs (BIBDs) with block size \(k = 7\). This work was begun by \textit{H. Hanani} [Balanced incomplete block designs and related designs, Discrete Math. 11, 255-369 (1975; Zbl 0361.62067)] and continued by \textit{A. E. Brouwer, A.
R. Julian R. Abel, Malcolm Greig
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A Note on Balanced Incomplete Block Designs

Canadian Journal of Mathematics, 1954
A 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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Construction of Nested Balanced Incomplete Block Designs

Calcutta Statistical Association Bulletin, 1986
A 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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Balanced Incomplete Block Designs

Journal of the Institute of Actuaries, 1970
In 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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\(A\)-efficient balanced treatment incomplete block designs [PDF]

open access: possibleAustralas. J Comb., 2020
This paper addresses the problem of comparing \(p\) new (or test) treatments and an existing old treatment (called control). The objective is to replace the control one with one of the \(p\) treatments. The authors present numerous highly efficient desings for comparing \(p\) new treatments with a control one, each design using \(b\) blocks each of ...
Ashish Das   +3 more
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