Abstract
A new class of incomplete block designs, termed as partially efficiency balanced (PEB) designs has been developed. These designs may be particularly useful for bio-assays and factorial experiments. Kronecker product PEB designs have been constructed and a simplified analysis of these designs has been given. All Kronecker product partially balanced incomplete block (PBIB) designs, like extended group divisible, hyper-cubic, extended right-angular, etc. can be obtained as particular cases of Kronecker product PEB designs. As a consequence, the analysis of all Kronecker product PBIB designs can be simplified.
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