Factorial Treatments in Rectangular Lattice Designs

Abstract

This paper reports how factorial treatment combinations may be used in rectangular lattice designs. The analysis of variance is obtained both with and without recovery of inter-block information. Explicit formulae are presented for the variances and covariances of the treatment effects as well as single degree-of-freedom comparisons. In fact, this paper extends all the uses of factorial treatment combinations in complete block designs to rectangular lattice designs.