αn–Designs

This paper defines a broad class of resolvable incomplete block designs called αn–designs, of which the original α–designs are a special case with n = 1. The statistical and mathematical properties of α–designs extend naturally to these n–dimensional designs. They are a flexible class of resolvable designs appropriate for use in factorial experiments, in constructing efficient t–latinized resolvable block designs, and for enhancing the existing class of α–designs for a single treatment factor.