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It is demonstrated that the ranking of tests on the basis of asymptotic local powers depends on the choice of local hypothesis. When a local null hypothesis is employed, it is not possible to rank the Wald and Cox-type paired or joint tests. However, when the local hypothesis is specified with reference to one of the alternative models under consideration, a ranking of different test procedures becomes possible. Under a local alternative hypothesis, it is shown that the paired Wald test will never have greater asymptotic local power than a paired Cox-type test.<\/jats:p>","DOI":"10.1017\/s0266466600012275","type":"journal-article","created":{"date-parts":[[2010,10,18]],"date-time":"2010-10-18T09:11:55Z","timestamp":1287393115000},"page":"83-94","source":"Crossref","is-referenced-by-count":11,"title":["Some Power Comparisons of Joint and Paired Tests for Nonnested Models under Local Hypotheses"],"prefix":"10.1017","volume":"5","author":[{"given":"Naorayex 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