A Paradoxical Feature of the Severity Measure of Evidence

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Rochefort-Maranda, Guillaume
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preprint description
The main point of this paper is to underscore that tests with very low power will be significant only if the observations are deviant under both H0 and H1. Therefore, the results of those significant tests will generate misleadingly high severity scores for differences between H0 and H1 that are excessively overestimated. In other words, that measure of evidence is bound to fail in those cases. It will inevitably fail to adequately measure the strength of the evidence provided by tests with low power.