Results 261 to 270 of about 115,467 (307)

On balanced incomplete block designs with blocks having five elements

Journal of Combinatorial Theory - Series A, 1972
It is proved that for balanced incomplete block designs with blocks having five elements each (k = 5) the known necessary existence condition is also sufficient, with the exception of the non-existing design λ = 2, v ...
Haim Hanani
exaly   +2 more sources

A family of balanced incomplete-block designs with repeated blocks on which general linear groups act

Journal of Combinatorial Designs, 2007
We give two constructions of a balanced incomplete-block design discovered by van Lint: the design has parameters (13,39,15,5,5), and has repeated blocks and an automorphism group of order 240.
R A Bailey, Peter J Cameron
exaly   +3 more sources

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The efficiency of blocking in incomplete block designs

Biometrika, 1960
1. Summary. Procedures for estimating the relative efficiency of certain designs have been considered by Yates (1935), Cochran & Cox (1957), and Kempthorne (1952, 1955). In this paper the efficiency of blocking in general is considered. A general formula for any incomplete block design of fairly general form is obtained. 2. Introduction.
Folks, John Leroy, Kempthorne, Oscar
openaire   +2 more sources

On the Structure of Incomplete Block Designs

Calcutta Statistical Association Bulletin, 1981
The bounds for the number of treatments common to any set of blocks of a connected (v, b, r, k) design are derived, and earlier published results are shown to be inferior. A new interesting result on dual of a connected (v, b, r, k) desian is obtained. It is further established that for disconnected designs, the earlier result on the bound of identical
Agrawal, H. L., Prasad, Jagdish
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On Multidimensional Incomplete Block Designs

Calcutta Statistical Association Bulletin, 1984
In this communication, methods of construction of balanced multidimensional incomplete block designs have been developed. Some illustrations have been presented to introduce the technique in case of four dimensional design. Multidimensional Partially Efficiency Balanced (PEB) design has been defined with suitable illustration in the concluding section.
Pal, Samarendranath, Pal, Satyabrata
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Incomplete Split‐Block Designs

Biometrical Journal, 1997
AbstractThe paper deals with modelling of experiments carried out in incomplete split‐block designs. Moreover, the characterization of the design with respect to a general balance property is given. Also, some statistical properties of the design are examined. The problems considered are illustrated with examples.
Hering, Franz, Mejza, Stanislaw
openaire   +1 more source

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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Preconditioning by incomplete block elimination

Numerical Linear Algebra with Applications, 2000
Summary: The recursive construction of Schur complements is used to construct a multi-level preconditioner for an iterative linear solver. For each level, the removed unknowns are selected in such a way that the eliminated matrix block is strictly diagonally dominant.
openaire   +4 more sources