Results 151 to 160 of about 23,139 (194)

New Constructions of BIB Designs

Biometrical Journal, 1985
AbstractA method of construction of certain balanced incomplete block (BIB) designs is defined from which we get new series of BIB designs.
S Kageyama
exaly   +2 more sources

The spectrum of additive BIB designs

Journal of Combinatorial Designs, 2007
AbstractIn this article, the existence of additive BIB designs is discussed with direct and recursive constructions, together with investigation of a property of resolvability. Such designs can be used to construct infinite families of BIB designs.
M Sawa, S Kageyama
exaly   +2 more sources

D-optimality of the dual of BIB designs

Statistics and Probability Letters, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

Results on the support of BIB designs

Journal of Statistical Planning and Inference, 1989
This paper presents further results on BIB designs with repeated blocks by the first author in collaboration with two new co-authors. Let \(BIB(v,b,r,k,\lambda)/b^*)\) denote a BIB (v,b,r,k,\(\lambda)\) design with precisely \(b^*\) distinct blocks. The set of all distinct blocks is called the support of the BIB design and the number \(b^*\) is called ...
A S Hedayat
exaly   +2 more sources

Robustness of BIB and extended BIB designs against the unavailability of any number of observations in a block

Computational Statistics and Data Analysis, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ashish Das, Sanpei Kageyama
exaly   +3 more sources

A relation between BIB designs and chemical balance weighing designs

Statistics and Probability Letters, 1987
The paper gives a certain new construction method for optimum chemical balance weighing designs. It utilizes a relation between the incidence matrices of a set of BIB designs and the design matrix of a chemical balance weighing design.
B Ceranka
exaly   +3 more sources

Construction of Balanced Ternary Designs with Nested Rows and Columns Using BIB Designs

Calcutta Statistical Association Bulletin, 1998
Balanced ternary designs with nested rows and columns have been constructed using balanced incomplete block designs.
Tyagi, B. N., Rizwi, S. K.
exaly   +2 more sources

Constructions of nested directed BIB designs [PDF]

Australas. J Comb., 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miwako Mishima, Ying Miao 0001, Sanpei Kageyama, Masakazu Jimbo   +3 more
openaire   +1 more source

BIB-Designs from Circular Nearrings

Results in Mathematics, 2012
Let (\(N,\Phi\)) be a finite circular Ferrero pair. The set \(\Phi(a)+b\), \(a,b\in N\), \(a\not=0\), is visualized as a circle centered at \(b\) passing through \(a\). Then \(\mathcal D(a;b)=\{x\in\Phi(r)+c\mid r\not=0\), \(b\in \Phi(r)+c\), \(|(\Phi(r)+c)\cap(\Phi(a)+b)|=1\}\) can be visualized as the disk centered at \(b\) with its boundary circle ...
BENINI, ANNA, Frigeri, Achille, Morini, Fiorenza   +2 more
openaire   +4 more sources

The Existence of BIB Designs

Acta Mathematica Sinica, English Series, 2000
The author improves his estimate [J. Comb. Des. 4, No. 2, 83-93 (1996; Zbl 0913.05017)] of the upper bound for the smallest integer \(c(k,\lambda)\) such that \(v\in B(k,\lambda)\) for every integer \(v\geq c(k,\lambda)\) that satisfies the congruences \(\lambda v(v- 1)\equiv 0\;(\text{mod }k(k- 1))\) and \(\lambda(v- 1)\equiv 0\;(\text{mod }k- 1)\) in
openaire   +1 more source