A UNIFIED TREATMENT OF THE ANALYSIS OF EXPERIMENTAL DESIGNS USING EIGENVECTORS
ABSTRACT Uniform methods for checking estimability of arbitrary treatment contrasts for completely random, randomized block, and two-way blocking designs are presented which relate arbitrary contrasts to the eigenvector contrasts of the C matrix of the design. Treatments are assumed to be fixed, but blocking variables may be fixed or random. Treatments may have factorial structure. If a set of contrasts is estimable, the appropriate test of hypothesis is calculated. The results are implemented via a program written in SAS IML.