Some Computational and Model Equivalences in Analyses of Variance of Unequal-Subclass-Numbers Data

Available methodologies for calculating sums of squares in analyses of variance of unequal-subclass-numbers (unbalanced) data include (i) full rank reparameterized models, (ii) .indirect. methods, (iii) the R(· | ·) notation, (iv) weighted squares of means, and (v) numerator sums of squares for testing hypotheses.These techniques are described, and relationships between them explained and illustrated.Numerical illustrations are given in the Appendix.