Research Article Open Access

NEW CONSTRUCTION METHOD OF RECTANGULAR PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS AND SINGULAR GROUP DIVISIBLE DESIGNS

Rezgui Imane1 and Z. Gheribi-Aoulmi1
  • 1 University Constantine 1, Algeria

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 of Mathematics and Statistics
Volume 10 No. 1, 2014, 45-48

DOI: https://doi.org/10.3844/jmssp.2014.45.48

Submitted On: 13 October 2013 Published On: 9 January 2014

How to Cite: 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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Keywords

  • Rectangular Association Scheme
  • Group Divisible Association Scheme
  • Partially Balanced Incomplete Block Design