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Splitting balanced incomplete block designs [PDF]
Australas. J Comb., 2005 A \((v, 2k,\lambda)\)-splitting balanced incomplete block design is a BIBD where every block is the disjoint union of 2 subblocks of size \(k\) and for each 2-subset of points there exist \(\lambda\) blocks such that the points are in separate subblocks.
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An Embedding Theorem for Balanced Incomplete Block Designs
Canadian Journal of Mathematics, 1954From a symmetric balanced incomplete block design we may construct a derived design by deleting a block and its varieties. But a design with the parameters of a derived design may not be embeddable in a symmetric design. Bhattacharya (1) has such an example with λ = 3 .
Hall, Marshall jun., Connor, W. S.
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\(A\)-efficient balanced treatment incomplete block designs [PDF]
Australas. J Comb., 2005 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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Finding Balanced Incomplete Block Designs with Metaheuristics
2009This paper deals with the generation of balanced incomplete block designs (BIBD), a hard constrained combinatorial problem with multiple applications. This problem is here formulated as a combinatorial optimization problem (COP) whose solutions are binary matrices.
David Rodríguez Rueda +2 more
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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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On Identical Blocks in a Balanced Incomplete Block Design
Calcutta Statistical Association Bulletin, 1972openaire +1 more source
Construction of A-optimal balanced treatment incomplete block designs: An algorithmic approach
Communications in Statistics Part B: Simulation and Computation, 2020Rajender Parsad, B N Mandal
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Assigning readers to cases in imaging studies using balanced incomplete block designs
Statistical Methods in Medical Research, 2021Erich Huang
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On construction of constant block-sum partially balanced incomplete block designs
Communications in Statistics - Theory and Methods, 2020Ravindra Khattree
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