NEW CONSTRUCTION METHOD OF RECTANGULAR PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS AND SINGULAR GROUP DIVISIBLE DESIGNS
Rezgui Imane and Z. Gheribi-Aoulmi
DOI : 10.3844/jmssp.2014.45.48
Journal of Mathematics and Statistics
Volume 10, Issue 1
In this study, we propose a new method of construction of rectangular Partially Balanced Incomplete Block (PBIB) designs of size k = 2s and 2≤s < l and singular Group Divisible (GD) designs of size k = 2l, l is the number of columns in a rectangular matrix containing v = n Ã l treatments. We give the parameters expression of the obtained designs. Furthermore, we provide two algorithms of calculation for practical use.
© 2014 Rezgui Imane and Z. Gheribi-Aoulmi. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.