TY  - JOUR
AU  - Imane, Rezgui 
AU  - Gheribi-Aoulmi, Z. 
PY  - 2014
TI  - NEW CONSTRUCTION METHOD OF RECTANGULAR PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS AND SINGULAR GROUP DIVISIBLE DESIGNS
JF  - Journal of Mathematics and Statistics
VL  - 10
IS  - 1
DO  - 10.3844/jmssp.2014.45.48
UR  - https://thescipub.com/abstract/jmssp.2014.45.48
AB  - In this study, we propose a new method of construction of rectangular Partially Balanced Incomplete Block (PBIB) designs of size k = 2s and 2&le;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.