TY  - JOUR
T1  - A Tool for Constructing Pair-Wise Balanced Incomplete Block Designs
AU - Effanga, E.O. AU - Ugboh, J.A. AU - Enang, E.I. AU - Eno, B.E.A. 
JO  - Journal of Modern Mathematics and Statistics
VL  - 3
IS  - 4
SP  - 69
EP  - 72
PY  - 2009
DA  - 2001/08/19
SN  - 1994-5388
DO  - jmmstat.2009.69.72
UR  - https://makhillpublications.co/view-article.php?doi=jmmstat.2009.69.72
KW  - Goal programming
KW  -non-linear
KW  -non-preemptive
KW  -design matrix
KW  -information matrix
KW  -D-optimal
AB  - This study deals with the construction of Pair-wise 
        Balanced Incomplete Block Designs (PBIBD). We developed a non-linear non-preemptive 
        binary integer goal programming model for the construction of PBIBD for 
        any set of parameters (b, k, t, r, λ). The model so developed is 
        tested using two set of parameters (b = 4, k = 4, t = 3, r = 3, λ 
        = 2) and (b = 7, k = 7, t = 3, r = 3, λ = 1). It is shown that the 
        PBIBD is not unique for any given set of parameters and that the design 
        obtained by our model is D-optimal.
ER  -