%0 Journal Article
%T A Tool for Constructing Pair-Wise Balanced Incomplete Block Designs
%A E.O. Effanga
%A J.A. Ugboh
%A E.I. Enang
%A B.E.A. Eno
%J Journal of Modern Mathematics and Statistics
%D 2012
%I 
%X 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, ¦Ë). The model so developed is tested using two set of parameters (b = 4, k = 4, t = 3, r = 3, ¦Ë = 2) and (b = 7, k = 7, t = 3, r = 3, ¦Ë = 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.
%U http://www.medwellonline.net/abstract/?doi=jmmstat.2009.69.72