Analyzing unreplicated factorial experiments: A review with some new proposals

Recently, there have been many proposals for objectively analyzing unreplicated factorial experiments. We review these methods along with some earlier and perhaps lesser known ones. New methods are also proposed. The primary aim of this paper is to compare these methods and their variants via an extensive simulation study. Robustness of the various methods to non-normality is also considered. Many methods are comparable, but clearly some cannot …