On the efficiency of some supplemented ([alpha]1,[alpha]2,...,[alpha]R)-resolvable block designs

Statistical properties of designs with two kinds of treatments: basic and supplementary, are examined. The basic treatments are arranged randomly in an ([alpha]1,[alpha]2,...,[alpha]R)-resolvable block design. This basic design is orthogonally supplemented by some orthogonal addition of the supplementary treatments. Mixed linear models of observations following two- or three-step randomizations are considered. The final design under these models is generally balanced and that allows obtaining its stratum efficiency factors for both cases.