A new procedure for construction of a pair-wise balanced design with equal replication and un-equal block sizes based on factorial design are presented. Numerical illustration also provided. It was found that the constructed pair-wise balanced design was found to be universal optimal.
Two different methods are proposed for the construction of an efficiency balanced design. Method 1 discusses the construction of efficiency balanced design by deleting the control treatment and method 2 discusses the construction of efficiency balanced design by deleting the control treatment as well as all the main effect treatment combinations of a 2n symmetrical factorial experiment. Numerical examples are given.
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