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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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Partially Balanced Incomplete Block Design

2006
This article provides a brief overview of the most common partially balanced incomplete block designs and discusses other designs to which they are related.
Street, D. J., Street, A. P.
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An Embedding Theorem for Balanced Incomplete Block Designs

Canadian Journal of Mathematics, 1954
From 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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N-way balanced incomplete block designs

Journal of Statistical Planning and Inference, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finding Balanced Incomplete Block Designs with Metaheuristics

2009
This 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, Carlos Cotta, Antonio J. Fernández 0001   +2 more
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On Identical Blocks in a Balanced Incomplete Block Design

Calcutta Statistical Association Bulletin, 1972
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A study of methods for construction of balanced incomplete block design

Journal of Discrete Mathematical Sciences and Cryptography, 2007
M Babul Hasan
exaly  

The Parshvanath yantram yields a constant-sum partially balanced incomplete block design

Communications in Statistics - Theory and Methods, 2019
Ravindra Khattree
exaly  

On use of symmetrical balanced incomplete block design in construction of sampling design realising pre-assigned sets of inclusion probabilities of first two orders.

Communications in Statistics - Theory and Methods, 1990
Raghunath Arnab
exaly  

Balanced treatment incomplete block designs through integer programming

Communications in Statistics - Theory and Methods, 2017
B N Mandal, Rajender Parsad
exaly