Review of the Rank Transform in Designed Experiments

Abstract

Despite a plethora of asymptotic and small samples Monte Carlo studies on the failure of the rank transform in designed experiments, Choi in 1998 published a paper praising the technique. The purpose of this reaction is to (a) examine Choi's literature review on the rank transform, (b) provide some “new” results on the rank transform, and (c) summarize the failures of the rank transform.