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P-values and interpretation

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A p-value describes how unusual the observed or more extreme results would be under the specified null model and its assumptions. It is not the probability that the null hypothesis is true, that a result occurred by chance alone, or that the finding will replicate.

If a threshold is used, specify it in the analysis plan. Do not base conclusions only on crossing it. Report effect sizes, confidence intervals, design limitations, and the number of analyses. Statistical significance does not establish practical importance; non-significance does not demonstrate no effect.

References: ASA statement on p-values