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.

中文翻译：

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基于似然比统计的证据量度

在本文中，我们表明似然比测度 (a) 对于主导 sigma 有限测度是不变的，(b) 满足标准p值不满足的逻辑结果，(c) 尊重频率属性，即第一类错误可以得到适当的控制，并且在温和的正则条件下，（d）可以用作后验概率的上限。我们还讨论了一个通用应用程序，以测试给定种群的基因型频率是否处于 Hardy-Weinberg 平衡、近交限制或近交限制下。