Quick and Easy Analysis of Unreplicated Factorials

Abstract

Box and Meyer (1986) introduced a method for assessing the sizes of contrasts in unreplicated factorial and fractional factorial designs. This is a useful technique, and an associated graphical display popularly known as a Bayes plot makes it even more effective. This article presents a competing technique that is also effective and is computationally simple. An advantage of the new method is that the results are given in terms of the original units of measurement. This direct association with the data may make the analysis easier to explain.