In this paper, we show that the likelihood-ratio measure (a) is invariant with respect to dominating sigma-finite measures, (b) satisfies logical consequences which are not satisfied by standard $p$-values, (c) respects frequentist properties, i.e., the type I error can be properly controlled, and, under mild regularity conditions, (d) can be used as an upper bound for posterior probabilities. We also discuss a generic application to test whether the genotype frequencies of a given population are under the Hardy-Weinberg equilibrium, under inbreeding restrictions or under outbreeding restrictions.
翻译:在本文中,我们表明,可能性比重措施(a)对于支配西格玛-无限措施是变化不定的,(b) 满足不符合标准美元价值的逻辑后果,(c) 尊重常住性属性,即可以适当控制I型错误,在温和的正常条件下,(d) 可作为后生概率的上限。我们还讨论通用应用,以检验特定人口的基因类型频率是否处于Hardy-Weinberg平衡之下,是否处于禁忌限制或禁忌限制之下。