Such permutation tests characterize tests with maximum power against all alternative hypotheses, as observed by Rosenbaum.
sˈʌtʃ pˌɜːmjuːtˈeɪʃən tˈɛsts kˈæɹɪktɚɹˌaɪz tˈɛsts wɪð mˈæksɪməm pˈaʊɚɹ ɐɡˈɛnst ˈɔːl ɔːltˈɜːnətˌɪv haɪpˈɑːθəsˌiːz, æz əbzˈɜːvd baɪ ɹˈoʊzənbˌaʊm.