Resurrecting the One-Sided P-value as a Likelihood Ratio

08/08/2021 ∙ by Nicholas Adams, et al. ∙ 0 ∙ share

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.

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Resurrecting the One-Sided P-value as a Likelihood Ratio

Authors

P-value: A Bless or A Curse for Evidence-Based Studies?

An Orthogonality Principle for Select-Maximum Estimation of Exponential Variables

A Double-Edged Sword: Security Threats and Opportunities in One-Sided Network Communication

Two-sided confidence interval of a binomial proportion: how to choose?

Velos: One-sided Paxos for RDMA applications

Reply to Chen et al.: Parametric methods for cluster inference perform worse for two-sided t-tests

Coded equivalence of one-sided topological Markov shifts

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