Construction of Partially balanced incomplete block designs based on Magic square of odd and doubly–even order

Davinder Kumar Garg; Syed Aadil Farooq

Volume : V, Issue : IX, September - 2015

Construction of Partially balanced incomplete block designs based on Magic square of odd and doubly–even order

Davinder Kumar Garg, Syed Aadil Farooq

Abstract :

In this paper, we have constructed two new series of partially balanced incomplete block (PBIB) designs by establishing a link between PBIB designs and magic square of odd order and doubly – even order. Illustrations of construction of designs are also discussed in detail. Efficiencies of the newly constructed designs are also computed for the purpose of comparisons. It was found that some newly constructed designs are more efficient as compared to the existing designs and further these designs are useful from practical point of view.