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Optimising Cardiac Diffusion Tensor Imaging In Vivo: More Directions or Averages?
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Cyclic Group Divisible Designs
Calcutta Statistical Association Bulletin, 1995New cyclic solutions of several group divisible incomplete block designs arc presented, A new group divisible desian is reported whose solution is also cyclic. We also present non-isomorphic solutions of several group divisible designs listed in the catalogue of Clatworthy (1973).
Midha, Chand K., Dey, Aloke
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Geometriae Dedicata, 1992
The authors generalize previous work on translation divisible designs (with \(\lambda_ 1=0)\) and, in particular, translation transversal designs to translation divisible designs with parameters \((s,k,\lambda_ 1,\lambda_ 2)\).
Schulz, Ralph-Hardo +1 more
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The authors generalize previous work on translation divisible designs (with \(\lambda_ 1=0)\) and, in particular, translation transversal designs to translation divisible designs with parameters \((s,k,\lambda_ 1,\lambda_ 2)\).
Schulz, Ralph-Hardo +1 more
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Robustness group divisible designs
Communications in Statistics - Theory and Methods, 1990Robustness 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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Constructions of Group Divisible Designs
Designs, Codes and Cryptography, 1996This paper presents some constructions for group divisible designs from generalized partial difference matrices. Certain classes of examples are also given.
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Group-divisible rotatable designs
Annals of the Institute of Statistical Mathematics, 1967By 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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A generalization of group divisible t $t$‐designs
Journal of Combinatorial Designs, 2023AbstractCameron defined the concept of generalized ‐designs, which generalized ‐designs, resolvable designs and orthogonal arrays. This paper introduces a new class of combinatorial designs which simultaneously provide a generalization of both generalized ‐designs and group divisible ‐designs.
Sijia Liu +4 more
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Some new group divisible designs
Journal of Statistical Planning and Inference, 1977Abstract The paper lists fourteen new group divisible PBIB/2 designs, which were obtained using the computer program described in John (1976).
John, J. A., Turner, G.
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Some new group divisible designs
Journal of Statistical Planning and Inference, 1980Abstract The paper lists four new group divisible designs which are obtained by trial and error. These designs are believed to be new, since they are not listed in Clatworthy (1973), Freeman (1976) or John and Turner (1977).
null Bhagwandas, J.S. Parihar
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Spreads and group divisible designs
Designs, Codes and Cryptography, 1993This paper establishes a beautiful relation between geometric \(t\)-spreads and group divisible designs the dual of which is again a group divisible design. Let \({\mathcal S}\) be a \(t\)-spread of \(PG(d,q)\), i.e. a partition of the point set of \(PG(d,q)\) in \(t\)-dimensional subspaces, called the component of \({\mathcal S}\).
O'Keefe, Christine M., Rahilly, Alan
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