@article {10.3844/jmssp.2014.45.48, article_type = {journal}, title = {NEW CONSTRUCTION METHOD OF RECTANGULAR PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS AND SINGULAR GROUP DIVISIBLE DESIGNS}, author = {Imane, Rezgui and Gheribi-Aoulmi, Z.}, volume = {10}, year = {2014}, month = {Jan}, pages = {45-48}, doi = {10.3844/jmssp.2014.45.48}, url = {https://thescipub.com/abstract/jmssp.2014.45.48}, abstract = {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 × l treatments. We give the parameters expression of the obtained designs. Furthermore, we provide two algorithms of calculation for practical use.}, journal = {Journal of Mathematics and Statistics}, publisher = {Science Publications} }