Results 161 to 170 of about 23,139 (194)

Estimation and hypothesis testing in BIB design and robustness

Computational Statistics & Data Analysis, 2009
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Moti L. Tiku, Birdal Senoglu
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On a Family of Resolvable BIB Designs

Calcutta Statistical Association Bulletin, 1981
In this paper we give a method of construction of a family of resolvable BIB designs with parameters v = p2 q, k = pq, λ = ( pq -1)⁄( q -1), where p is a prime or prime power and q is an integer such that p ⩾ q ⩾ 2 and ( pq- 1 )⁄( q -1) is an integer.
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A series of BIB designs

Journal of the Australian Mathematical Society, 1979
AbstractA series of balanced incomplete block (BIB) designs with parameters , is constructed, where , w any integer.
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Two series of BIB designs

Ars Comb., 2017
The paper presents two constructions of PBIB designs with two classes of treatments that sometimes yield a BIB design. Treatments are in both constructions identified with unordered pairs of elements from a fixed set. Treatments can be thus regarded as edges of a complete graph, and thus one gets a class of pairs of edges that intersect, and a class of
Roger Logan, Mithilesh Kumar Singh, Kishore Sinha   +2 more
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A note on BIB designs with nested rows and columns [PDF]

Australas. J Comb., 1999
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James Arthur MacDougall, Gary L. Mullen
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A class of BIB designs with repeated blocks

Journal of Applied Statistics, 2001
Balanced incomplete block design (BIBD) with repeated blocks is studied in detail. Methods of construction of BIB designs with repeated blocks are developed so as to distinguish the usual BIBD and BIBD with repeated blocks. One additional parameter, say d, is considered here, where d denotes the number of distinct blocks present in the BIB design with ...
D. K. Ghosh, S. B. Shrivastava
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Cyclic resolutions of the BIB design in PG(5, 2) [PDF]

Australas. J Comb., 2020
It is shown that a BIB design generated by points and planes in \(\text{PG}(5, 2)\) has two types of automorphisms, i.e., a cyclic one of order \(2^6-1\) and a \(2\)-rotational one of order \(2^5-1\). These designs are also cyclically resolvable. The argument is based on a computer search.
Takaaki Hishida, Masakazu Jimbo
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Difference families, difference matrices, and bib-designs

Mathematical Notes of the Academy of Sciences of the USSR, 1985
The author continues his work on difference families in additive Abelian groups of finite orders [For earlier works see Mat. Sb., Nov. Ser. 99(141), 366-379 (1976; Zbl 0405.05010), and Mat. Zametki 32, No.6, 869- 887 (1982; Zbl 0506.05011)]. The present paper contains many interesting construction theorems.
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A new series of \(\mu\)-resolvable BIB designs [PDF]

, 2002
Summary: A method of constructing a series of \(\mu\)-resolvable BIB designs from mutually orthogonal mates of BIB designs is provided. The resolvable designs obtainable through this method are new and involve lesser number of blocks for a fixed number of treatments than those obtained by \textit{S. Kageyama} and \textit{R. N. Mohan} [Discrete Math. 45,
Kageyama, Sanpei, Majumder, Anurup, Pal, Satyabrata   +2 more
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Bib Designs with Blocks of Maximal Multiplicity.

1982
Abstract : The set of distinct blocks of a block design is known as its support. We construct a BIB design with parameters V or = 7, k = 3, lambda = v - 2 which contains a block of maximal multiplicity and has support (V/3) - 4(v-3). Any BIB design which contains such a block and has parameters as above must be supported on at most (V/3) - 4(v-3 ...
A. S. Hedaya, G. M. Constantine
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