# Calibration of ρ Values for Testing Precise Null Hypotheses

updated

Sellke T, Bayarri MJ, Berger JO. Calibration of ρ Values for Testing Precise Null Hypotheses. The American Statistician. 2001;55(1):62–71.

Tags: scientific medicine, stats, deep

## original abstract

P values are the most commonly used tool to measure evidence against a hypothesis or hypothesized model. Unfortunately, they are often incorrectly viewed as an error probability for rejection of the hypothesis or, even worse, as the posterior probability that the hypothesis is true. The fact that these interpretations can be completely misleading when testing precise hypotheses is first reviewed, through consideration of two revealing simulations. Then two calibrations of a ρ value are developed, the first being interpretable as odds and the second as either a (conditional) frequentist error probability or as the posterior probability of the hypothesis.

## related content

One article on PainScience.com cites Sellke 2001 as a source:

- PS Statistical Significance Abuse — A lot of research makes scientific evidence seem more “significant” than it is