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The test statistics\nare based on robust location and scale estimators, e.g. the\nsample median or the Hodges-Lehmann estimators as described in\nFried & Dehling (2011) . The\np-values can be computed via the permutation principle, the\nrandomization principle, or by using the asymptotic\ndistributions of the test statistics under the null hypothesis,\nwhich ensures (approximate) distribution independence of the\ntest decision. To test for a difference in scale, we apply the\ntests for location difference to transformed observations; see\nFried (2012) . Random noise on\na small range can be added to the original observations in\norder to hold the significance level on data from discrete\ndistributions. 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