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Resolvable incomplete block designs are often used in many asymmetrical and symmetrical factorial experiments. In this article, two new methods of constructions are proposed to obtain resolvable incomplete block designs for asymmetrical and symmetrical factorial experiments. Designs generated using the proposed methods have orthogonal factorial structure and all main effects are estimated with full efficiency and balance. A catalogue of designs obtainable by this method with number of levels of any factor ≤12 is presented along with their efficiency factors.

Construction of resolvable incomplete block designs for estimating main effects with full efficiency