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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.
openaire   +1 more source

\(A\)-efficient balanced treatment incomplete block designs [PDF]

open access: possibleAustralas. 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
openaire   +1 more source

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   +2 more
openaire   +1 more source

N-way balanced incomplete block designs

Journal of Statistical Planning and Inference, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Constant and Nearly Constant Block-Sum Partially Balanced Incomplete Block Designs and Magic Rectangles

Journal of Statistical Theory and Practice, 2022
Ravindra Khattree, Khattree Ravindra
exaly  

On Identical Blocks in a Balanced Incomplete Block Design

Calcutta Statistical Association Bulletin, 1972
openaire   +1 more source

Construction of A-optimal balanced treatment incomplete block designs: An algorithmic approach

Communications in Statistics Part B: Simulation and Computation, 2020
B N Mandal   +2 more
exaly  

On construction of constant block-sum partially balanced incomplete block designs

Communications in Statistics - Theory and Methods, 2020
Ravindra Khattree
exaly  

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