NEW CONSTRUCTION METHOD OF RECTANGULAR PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS AND SINGULAR GROUP DIVISIBLE DESIGNS
Rezgui Imane1 & Z. Gheribi-Aoulmi1 Show affiliations
- University Constantine 1, Algeria
Journal of Mathematics and Statistics, Volume 10, Issue 1, pp. 45–48 · doi.org/10.3844/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.
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Imane, R. & Gheribi-Aoulmi, Z. (2014). NEW CONSTRUCTION METHOD OF RECTANGULAR PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS AND SINGULAR GROUP DIVISIBLE DESIGNS. Journal of Mathematics and Statistics, 10(1), 45–48. https://doi.org/10.3844/jmssp.2014.45.48
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