Plotting with confidence: Graphical comparisons of two populations

Abstract

SUMMARY Statistical methods that give detailed descriptions of how populations differ are considered. These descriptions are in terms of a response function Δ( x ) with the property that X + Δ( X ) has the same distribution as Y . The methods are based on simultaneous confidence bands for the response function computed from independent samples from the two populations. Both general and parametric models are considered and comparisons between the various methods are made.