p-Values for Model Evaluation - Physics > Data Analysis, Statistics and ProbabilityReport as inadecuate




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Abstract: Deciding whether a model provides a good description of data is often basedon a goodness-of-fit criterion summarized by a p-value. Although there isconsiderable confusion concerning the meaning of p-values, leading to theirmisuse, they are nevertheless of practical importance in common data analysistasks. We motivate their application using a Bayesian argumentation. We thendescribe commonly and less commonly known discrepancy variables and how theyare used to define p-values. The distribution of these are then extracted forexamples modeled on typical data analysis tasks, and comments on theirusefulness for determining goodness-of-fit are given.



Author: Frederik Beaujean, Allen Caldwell, Daniel Kollar, Kevin Kroeninger

Source: https://arxiv.org/







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