Use of α-resolvable designs in the construction of two-factor experiments of split-plot type

We consider an incomplete split-plot design (ISPD) with two factors generated by the semi-Kronecker product of two α -resolvable designs. We use an α -resolvable design for the whole plot treatments and an affine α -resolvable design for the subplot treatments. We characterize the ISPDs with respect to the general balance property, and we give the stratum efficiency factors for the ISPDs.