CONSTRUCTION OF UNEQUAL REPLICATED BALANCED INCOMPLETE BLOCK DESIGNS WITH UNEQUAL BLOCK SIZES

Title of Publication: CONSTRUCTION OF UNEQUAL REPLICATED BALANCED INCOMPLETE BLOCK DESIGNS WITH UNEQUAL BLOCK SIZES
Author(s): MBA EMMANUEL IKECHUKWU
Year of Publication: 2009
ABSTRACT
There are three major concepts of balancing in incomplete block designs namely: variance balancing, pair wise balancing and efficiency balancing. In real life experiments, it may not always be possible to obtain equally replicated Balanced Incomplete Block Designs with equal block sizes. This work will therefore delve into the construction of unequal -replicated balanced incomplete block designs with unequal block sizes. The necessary and sufficient condition for a design to be balanced is that C (the matrix of the adjusted intra block normal equation) shall have all its off diagonal elements as constants and all its diagonal elements as constants.
Key words: Balanced Incomplete Block Design, Unequal Replicate, C-Matrix, Adjusted intra block normal equation

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