On the construction of group divisible incomplete block designs

1975 ◽  
Vol 3 (2) ◽  
pp. 285-288
Author(s):  
H. T. Trivedi ◽  
V. K. Sharma
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Group Divisible

Generalized Hadamard Matrices and Orthogonal Arrays of Strength Two

1964 ◽  
Vol 16 ◽  
pp. 736-740 ◽  
Author(s):  
S. S. Shrikhande
Keyword(s):  
Block Design ◽  
Orthogonal Arrays ◽  
Hadamard Matrices ◽  
Block Designs ◽  
Incomplete Block ◽  
Balanced Incomplete Block Design ◽  
Balanced Incomplete Block Designs ◽  
Group Divisible ◽  
Incomplete Block Design ◽  
Balanced Incomplete Block

The purpose of this note is to point out some connexions between generalized Hadamard matrices (4, 5) and various tactical configurations such as group divisible designs (3), affine resolvable balanced incomplete block designs (1), and orthogonal arrays of strength two (2). Some constructions for these arrays are also indicated.A balanced incomplete block design (BIBD) with parameters v, b, r, k, λ is an arrangement of v symbols called treatments into b subsets called blocks of k < v distinct treatments such that each treatment occurs in r blocks and any pair of treatments occurs in λ blocks.

Cyclic Group Divisible Designs

1995 ◽  
Vol 45 (3-4) ◽  
pp. 253-258
Author(s):  
Chand K. Midha ◽  
Aloke Dey
Keyword(s):  
Cyclic Group ◽  
Block Designs ◽  
Incomplete Block ◽  
Group Divisible Designs ◽  
Group Divisible

New 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).

On a Method of Construction of Balanced Incomplete Block Designs

1986 ◽  
Vol 35 (3-4) ◽  
pp. 157-160
Author(s):  
D. V. S. Sastry ◽  
R. H. Malgaonkar
Keyword(s):  
Block Designs ◽  
Incomplete Block ◽  
Group Divisible Designs ◽  
Balanced Incomplete Block Designs ◽  
Group Divisible ◽  
Balanced Incomplete Block

This paper gives a method of construction of balanced incomplete block designs (BIBDs) and group divisible designs from the existing self complementary BIBDs.

scholarly journals A new series of resolvable PBIB (2) designs in unequal block sizes with three replicates

2018 ◽  
Vol 33 (00) ◽  
Author(s):  
Akhilesh Jha, , ,and Buragohain ◽  
Cini Varghese ◽  
Seema Jaggi ◽  
Mohd Harun ◽  
Devendra Kumar
Keyword(s):  
Association Scheme ◽  
Block Designs ◽  
Incomplete Block ◽  
Group Divisible ◽  
Application Potential ◽  
Block Sizes

In this paper, a new series of incomplete block designs with three replications has been proposed. These designs are partially variance balanced following a group divisible association scheme. The designs obtained here are with unequal block sizes and are suitable for experimentation in uneven land. Furthermore, these designs are resolvable, which enhances their application potential in regions where it may be difficult to accommodate complete replications at one place.

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