Decision-making in the analysis of unreplicated factorial designs

Economical and technical reasons, as well as time-related constraints, have contributed considerably to the increasing use of unreplicated factorial designs. Various methods have been proposed in the literature to identify location effects in unreplicated factorial designs, but one method that performs well in all cases has not been found. For this reason, this article presents multiple tests that apply computational methods with different forms. The selected methods are reviewed and their application is justified and illustrated with examples, including one original case study.