Results 211 to 220 of about 36,439 (252)

On the Analysis of Group Divisible Designs

Journal of the American Statistical Association, 1964
Abstract This note gives an alternate formula for computing the adjusted treatment sum of squares for Group Divisible Partially Balanced Incomplete Block Designs (GD-PBIB). The proposed formula is shown to be equal to one which is given in reference [1] and hence a cheek is provided in carrying out the computations.
C. H. Kapadia, D. L. Weeks
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Robustness group divisible designs

Communications in Statistics - Theory and Methods, 1990
Robustness of group divisible (GD) designs is investigated, when one block is lost, in terms of efficiency of the residual design. The exact evaluation of the efficiency can be made for singular GD and semi-regular GD designs as ell as regular GD designs with λ1 = 0.
Rahul Mukerjee, Sanpei Kageyama
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Group-divisible rotatable designs

Annals of the Institute of Statistical Mathematics, 1967
By modifying the restrictions imposed on the levels of the factors in a second order rotatable design, an alternative series of response surface designs has been obtained. Thev factors of the design have been split into two groups, and the design is rotatable for each group of factors when the levels of the factors in the other group are held constant.
Das, M. N., Dey, A.
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Constructions of Resolvable Group Divisible Designs and Related Designs

Annals of Combinatorics, 2002
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Mitra, R. K., Sinha, K., Mandal, N. K., Kageyama, S.   +3 more
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The Asymptotic Existence of Resolvable Group Divisible Designs

Journal of Combinatorial Designs, 2012
AbstractA group divisible design (GDD) is a triple which satisfies the following properties: (1) is a partition of X into subsets called groups; (2) is a collection of subsets of X, called blocks, such that a group and a block contain at most one element in common; and (3) every pair of elements from distinct groups occurs in a constant number λ ...
Chan, Justin H., Dukes, Peter J., Lamken, Esther R., Ling, Alan C. H.   +3 more
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A construction of group divisible designs

Journal of Statistical Planning and Inference, 1985
The author shows that ''the existence of a resolvable BIB design with parameters \((v=\beta k,b,r,k,\lambda)\) which is not affine, implies the existence of a resolvable regular GD design with parameters: \((v^*=\beta k\), \(b^*=b-\beta\), \(r^*=r-1\), \(k^*=k\), \(\lambda^*_ 1=\lambda -1\), \(\lambda^*_ 2=\lambda\), \(m^*=\beta\), \(n^*=k)''\).
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A class of group divisible 3‐designs and their applications

Journal of Combinatorial Designs, 2008
AbstractIn this article, we first show that a group divisible 3‐design with block sizes from {4, 6}, index unity and group‐type 2m exists for every integer m≥ 4 with the exception of m = 5. Such group divisible 3‐designs play an important role in our subsequent complete solution to the existence problem for directed H‐designs DHλ(m, r, 4, 3)s.
Wang, Jian Min, Ji, Lijun
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A construction of group divisible designs

Journal of Statistical Planning and Inference, 1979
Abstract Given any affine design with parameters v, b, r, k, λ and μ = k2/v and any design with parameters v′, b′, r′, k′, λ′ where r′ = tr for some natural number `t and k′⩽r, we construct a group divisible design with parameters v′' = vv′, m = v′, n = v, b′' = vb′, k′' = kk′, r′'= kr′, λ1 = tkλ and λ2 = μλ′.
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Signings of group divisible designs and projective planes [PDF]

Australas. J Comb., 2020
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Peter B. Gibbons, Rudolf Mathon
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A Complete Generalization of Clatworthy Group Divisible Designs

SIAM Journal on Discrete Mathematics, 2011
Partially balanced incomplete block designs (PBIBDs) have a long history and have been extensively used in agriculture and industrial experiments. Since the book of Clatworthy on two-associate-class partially balanced designs was published in 1973, little progress has been made on the construction of these designs. Group divisible designs (GDDs) are an
Fei Gao, Gennian Ge
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