Results 171 to 180 of about 23,139 (194)

On the existence of BIB designs with large λ

Journal of Statistical Planning and Inference, 2001
Abstract In this article we prove the following theorem: Suppose that v and k are given, v⩾k+2 and λ 0 (v,k)=( v−2 k−2 ) 2 ·4 v−k−1 . If λ(v−1)≡0 ( mod k−1) , λv(v−1)≡0 ( mod k(k−1)) and λ>λ0(v,k), then there is a B(v,k,λ).
openaire   +1 more source

A study of BIB designs through support matrices

Journal of Statistical Planning and Inference, 1985
The algebraic approach for studying BIB designs with repeated blocks, introduced by \textit{W. Foody} and \textit{A. Hedayat} [Ann. Stat. 5, 932-945 (1977; Zbl 0368.62054)] is further developed. The concept of a support matrix is introduced, and the connection between full column rank support matrices and irreducible designs is explored.
Hedayat, A., Pesotan, H.
openaire   +2 more sources

A model‐independent approach to the theory of experimental designs and a special discussion of bib. II. properties and construction of bib

Biometrical Journal, 1980
AbstractIn addition to the first part we prove independently of the model some theorems on properties of balanced block designs. Then we propose nine methods of construction of BIB and prove theorems in connection with these methods. In a table we give a survey on block designs with v$25 and possibilities of their construction with these methods ...
Rasch, D., Herrendörfer, G.
openaire   +1 more source

A recursive method of construction of resolvable BIB-designs

Mathematical Notes of the Academy of Sciences of the USSR, 1977
A theorem is proved that every resolvable BIB-design (v,k,λ) with λ=k−1 and the parameters v and k such that there exists a set of k−1 pairwise orthogonal Latin squares of order v can be embedded in a resolvable BIB-design ((k+1)v, k, k−1). An analogous theorem is established for the class of arbitrary BIB-designs.
openaire   +2 more sources

Combinatorics of Incidence Structures and Bib-Designs

1983
We give an exposition of basic properties of incidence structures and designs (BIB-designs). Some properties relating internal and external structures, duality, and complementary structures are stated. We add some basic constructions for BIB-designs.
openaire   +1 more source

On the Construction of BIB Designs with Variable Support Sizes.

1980
Abstract : A balanced incomplete block (BIB) design with b blocks is said to have support size b* when exactly b* of the b blocks are distinct. The importance and the applications of BIB designs with b* b in design of experiments and controlled sampling were explained in detail in Foody and Hedayat (1977) and Wynn (1977).
H. L. Hwang, A. Hedayat
openaire   +1 more source

Equal-Difference Bib Designs

Proceedings of the American Mathematical Society, 1965
openaire   +1 more source

The Trade-Off Method in the Construction of BIB Designs with Variable Support Sizes

Annals of Statistics, 1979
A Hedayat
exaly  

A Note on the Block Structure of BIB Designs

Calcutta Statistical Association Bulletin, 1963
openaire   +2 more sources

Notes on the structure of support in BIB designs. [PDF]

Australas. J Comb., 2020
Masoud Ariannejad, M. Emami
openaire