Seven Treatments from Mutually Orthogonal Latin Square of Order 7 in Symmetric Balanced Incomplete Block Designs
Saka A. J, Adeleke M. O, Adeleke B. L and Akeyede I
ABSTRACT
Abstract
A set of Mutually Orthogonal Latin Squares (MOLS) of order 7 gives rise to series of incomplete block designs, such as; balanced incomplete block designs (BIBD), and partially balanced incomplete block designs of two, three, four, five and six associate classes, that is PBIBD(k) with k =2,3,4,5 and 6. Two distinct Near-Resolvable BIBDs that are symmetric are equally obtained. All the aforementioned designs are constructed via orderly combinations of off-diagonal elements of a complete set of mutually orthogonal Latin squares (MOLS).
Keywords: Orthogonal Latin Square, symmetric, near-resolvable, incomplete block designs and
partially balanced incomplete block designs
