... this, or any, hypothesis iscorrect, but only examine whether the hypothesis canbe rejected [6,15]. In a statistical testing setting, a nullhypothesis is formulated. This null hypothesis corre-sponds ... point [13].Now consider a potential explanation for this dataset. Let the explanation be denoted M. We will some-times refer to such a ‘potential explanation’ as a‘hypothesis’. These two expressions ... asymptotic tests of compositehypotheses in nonstandard conditions. Biometrika 61,291–298.31 Vuong QH (1989) Likelihood ratio tests for modelselection and non-nested hypotheses. Econometrica 57,307–333.32...