This paper presents a series of operators for ANOVA (analysis of variance) calculations by regression methods. The operators, named CøDE, RøV, MøDEL, SCP, DECøMP, PATTER, SWP, and BAKSøL, are intended to be a subset of building blocks for a computing system to perform analyses of variance. The determination of parameter aliases during computation has been shown to be an important advantage of the regression approach. The regression approach has been made more feasible for balanced experimental designs by making use of structure in the balanced case in order to use mschine store efficiency. A compact model specification method has been developed which is based on three algebraic relations, + (ØR), * (CRØSS), and ← (NEST), between factors. Careful attention has been given to numerical questions. The operators are easily exported between computers with compatible FORTRAN IV facilities.