Results 201 to 210 of about 15,144 (247)
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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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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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On Automorphism Groups of Divisible Designs
Canadian Journal of Mathematics, 1982A (group) divisible design is a tactical configuration for which the v points are split into m classes of n each, such that points have joining number λ (resp. λ2) if and only if they are in the same (resp. in different) classes. We are interested in such designs with a nice automorphism group.
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Constant Weight Codes and Group Divisible Designs
Designs, Codes and Cryptography, 1999This paper continues the study of optimal constant weight codes over arbitrary alphabets which was initiated by \textit{T. Etzion} [Optimal constant weight codes over \(Z_k\) and generalized designs, Discrete Math. 169, No. 1-3, 55-82 (1997)]. Etzion showed that such codes are equivalent to special GDD's known as generalized Steiner systems \(\text{GS}(
Simon Blake-Wilson, Kevin T. Phelps
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On a Method of Construction of Group Divisible Designs
Calcutta Statistical Association Bulletin, 1990A simple method of constsuction for Group divisible (GD) designs is given with the help of known bananced incomplete block (BIB) designs.
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Some Results on Group Divisible Designs
Calcutta Statistical Association Bulletin, 1981A condition is established for obtaining a Group Divisible (GD) design from an asymmetric Bm design. A method is also given for constructing a variance balanced design from a GD design.
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On the Analysis of Group Divisible Designs
Journal of the American Statistical Association, 1964Abstract 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, 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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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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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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