The one-sided P-value has a long history stretching at least as far back as Laplace (1812) but has in recent times been mostly supplanted by the two-sided P-value. We present justification for a bijective relationship between the one-sided P-value and a likelihood ratio based on maximum likelihood, a relationship that cannot be demonstrated for the two-sided P-value. A number of criticisms of P-values are discussed and it is shown that many of these criticisms are not justified when a likelihood ratio interpretation of a one-sided P-value is employed. Converting a one-sided P-value to a likelihood ratio provides the advantages of the likelihood evidential paradigm.
翻译：单面P值具有悠久的历史,至少可以追溯到拉帕(1812年),但近些年来大多被双面P值所取代。我们提出了单面P值和基于最大可能性的可能比率之间双向P值和基于最大可能性的可能比率之间的双向关系的理由,这种关系不能为双面P值所证明。讨论了一些对P值的批评意见,并表明,如果采用单方面P值的可能比率解释,这些批评意见中有许多是没有道理的。将单面P值转换为可能性比率,提供了可能的证据模式的好处。
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