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Valid <i>P</i>-Values Behave Exactly as They Should: Some Misleading Criticisms of <i>P</i>-Values and Their Resolution With <i>S</i>-Values

Valid <i>P</i>-Values Behave Exactly as They Should: Some Misleading Criticisms of <i>P</i>-Values and Their Resolution With <i>S</i>-Values

The present note explores sources of misplaced criticisms of P-values, such as conflicting definitions of “significance levels” and “P-values” in authoritative sources, and the consequent misinterpretation of P-values as error probabilities. It then discusses several properties of P-values that have been presented as fatal flaws: That P-values exhibit extreme variation …