TY  - JOUR
T1  - On the Construction of Balanced Incomplete Block Designs Using Lotto Designs
AU - Amahia, G.N. AU - Alawode, O.A. AU - Eludire, A.A. 
JO  - Journal of Modern Mathematics and Statistics
VL  - 4
IS  - 1
SP  - 50
EP  - 52
PY  - 2010
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2010.50.52
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2010.50.52
KW  - pair wise BIBD
KW  -D-optimal
KW  -Lotto designs
KW  -design matrix
KW  -information matrix
KW  -universal optimality
AB  - Researchers present two algorithms for constructing Balanced Incomplete Block Designs (BIBD); the first, for determining the BIBDs that qualify to be Lotto Designs (LD) and the second for generating BIBDs from the LD parameters (n, k, p, t). The algorithms are tested using (υ = 6, b = 20, r = 10, k = 3, λ = 4) and (υ = 13, b = 130, r = 30, k = 3, λ = 4) BIBDs. One of the results, the (υ = 4, b = 4, r = 3, k = 3, λ = 2) BIBD which is pair wise balanced is shown to be D-optimal. Also, the (13, 130, 30, 3, 5) BIBD yielded (13, 56, 21, 3, 6), (13, 84, 28, 3, 7), (13, 120, 36, 3, 8) and (13, 165, 45, 3, 9) BIBDs; the first three being less cumbersome and more economical for experimental purposes. In general, a BIBD that qualifies as a LD can be used to generate other BIBDs.
ER  -