Latin square designs have been very useful in agriculture and animal sciences. They are, in general, obtained following algebrical rules from basic operations for positive integers and the m-modular number system. In this way, from an experiment installed in a factorial scheme, it is possible to obtain as many latin squares as the levels of treatments, through the use of a confounding technique. These schemes lead to orthogonal replications of latin squares. The aim of this work was to evaluate this technique in order to facilitate plannings. An example of a 3 x 3 x 3 factorial design without replications is presented.
latin square; counfounding; factorial design