Design and Analysis of Experiments

Abstract

Since writing the first edition of Design and Analysis of Experiments, there have been a number of additions to the research investigator’s toolbox. In this second edition, we have incorporated a few of these modern topics. Small screening designs are now becoming prevalent in industry for aiding the search for a few influential factors from amongst a large pool of factors of potential interest. In Chap. 15, we have expanded the material on saturated designs and introduced the topic of supersaturated designs which have fewer observations than the number of factors being investigated. We have illustrated that useful information can be gleaned about influential factors through the use of supersaturated designs even though their contrast estimators are correlated. When curvature is of interest, we have described definitive screening designs which have only recently been introduced in the literature, and which allow second order effects to be measured while retaining independence of linear main effects and requiring barely more than twice as many observations as factors.