Nonparametric tests of population differences and estimation of the probability of misidentification with unidentified paired data
Philip R. Davies, A. J. PHILLIPS · Biometrika · 1988
A modified Mann-Whitney statistic is used to construct a permutation test for comparing samples of paired data from two populations when the population identities of each pair are uncertain. An estimator of the probability of population misidentification within a pair is also proposed. This is based on the Lehmann family of distributions. Simulation results show the new methods are generally as or more effective than existing normal theory methods unless there is strong correlation within pairs.