Rochefort-Maranda, Guillaume
(2022)
The severity score is fundamentally flawed: A reply to Spanos' "Severity and Trustworthy Evidence".
[Preprint]
Abstract
Aris Spanos' recent critical appraisal of my paper on the severity measure of evidence and the Winner's Curse has the merit of allowing me to clarify my arguments. I show that Spanos' paper contains mistakes, contradictions, and an example that ultimately supports my conclusions. The bottom line is that the severity score is fundamentally defective because it favors the rejection of the null hypothesis due to sampling error as opposed to the discovery of true discrepancies from the null. Since the severity score is a function of the test statistics, it is especially corrupted by the large sampling error of underpowered test.
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