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Group Divisible Second Order Rotatable Designs
Biometrical Journal, 1979AbstractThe Group Divisible Rotatable (GDR) designs are the designs in which the factors get divided into groups such that for the factors within group, the designs are rotatable. In the present paper we have obtained a series of Group Divisible Second Order Rotatable designs, by decomposing the v‐dimensional space corresponding to v‐factors under ...
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Constructions of Resolvable Group Divisible Designs and Related Designs
Annals of Combinatorics, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mitra, R. K. +3 more
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Group divisible rotatable designs —Some further considerations
Annals of the Institute of Statistical Mathematics, 1968The paper discusses a method of construction of “Group divisible rotatable designs”. Through this method 5-level designs are obtained with smaller number of points. A series of 3-level designs has also been put forward.
Dey, A., Nigam, A. K.
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Composite construction of group divisible designs
Annals of the Institute of Statistical Mathematics, 1989zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sinha, Kishore, Kageyama, Sanpei
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D‐optimal designs and group divisible designs
Journal of Combinatorial Designs, 2006AbstractWe obtain new conditions on the existence of a square matrix whose Gram matrix has a block structure with certain properties, including D‐optimal designs of order $n\equiv 3 \pmod 4$, and investigate relations to group divisible designs. We also find a matrix with large determinant for n = 39. © 2006 Wiley Periodicals, Inc. J Combin Designs 14:
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Families of Hadamard group divisible designs
Journal of Statistical Planning and Inference, 1979Abstract By a family of designs we mean a set of designs whose parameters can be represented as functions of an auxiliary variable t where the design will exist for infinitely many values of t. The best known family is probably the family of finite projective planes with υ = b = t2 + t + 1, r = k = t + 1, and λ = 1.
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On Group Divisible Rotatable Designs
Calcutta Statistical Association Bulletin, 1976Adhikary, Basudeb, Sinha, Bikas Kumar
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A construction of group divisible designs
Journal of Statistical Planning and Inference, 1985The 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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Series of semiregular group divisible designs
Communications in Statistics - Theory and Methods, 1977Two series of semiregular group divisible designs are given. The first has v=sN + sN−1 , m=s + 1, k = v/s. The second has v = 6t + 6, m = 3, k = 2t + 2. Both series have λ1 =λ2−1. Designs in these series exist for v = 12, 18, 20, 24, 30, etc.
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