Bayesian Reanalysis of Biomedical Research

Take a result from a paper and see how your beliefs should be changed. Notes explains what this calculator does and how to read its output.


How sure would you want to be that the effect is real before acting on it? Pick a target, and the app works out the prior belief that would get you there.

Target certainty or enter any target certainty
%
False positive risk at other priors

Two bell curves: what the data would look like if the null were true, and if the postulated effect were. The red line is what this study actually observed — the closer it sits to a curve's peak, the better that hypothesis explains the result.

How the evidence depends on the postulated effect
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Explanation of graph


                          

Every probability below is read against this; set the wrong way, a 99% chance of benefit reads as a 1% one.

These probabilities usually run higher than PEGD, and both can be right: PEGD asks whether an effect exists at all, while this analysis assumes some effect and asks how big it is. Compare PEGD with P(worthwhile), not with P(benefit).

The same posteriors as curves
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All three priors, in numbers

Vague: as if you brought no opinion at all. This row is the study's own result, restated.

Skeptical: starts by doubting the effect. This is the row to quote to a doubter.

Enthusiastic: starts by expecting the effect the trial was powered for.

In absolute terms: patients per 100

The same number read as an odds ratio, relative risk, or hazard ratio gives different absolute risks, so say which the paper reported — there is no default. The control-arm risk is usually in the abstract.

Interpretation

Statistical details
CI width

                        Standard error
                        

                        z
                        

                        

                      
Standardized alternate hypothesis

                          Natural log of likelihood ratio
                          

                          
Likelihood ratio

                        
PEGD (Probability of a [real] effect given the data) versus the null

                          
Required prior

                        

Please cite this page if you find it useful:

Jones PM. Bayesian Reanalysis of Biomedical Research, version 1.8, https://shiny.seaturtle.site/bayesian_reanalysis/ Last accessed 2026-08-29

The following ratios are for the experimental arm relative to the control arm
Odds ratio

                        Relative risk
                        

                        
Hazard ratio

                        

Above 1 the outcome was more common in the experimental arm and below 1 less common; which of those you want depends on the outcome, which this calculator does not know.

Bayes factor bound (Sellke–Bayarri–Berger)

                        
Minimum false positive risk

                        

It is a floor: a reader who thought a real effect less likely than not beforehand faces a higher risk than this.

How many patients' outcomes would have to change for this result to stop being statistically significant?


How the result comes apart
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Every patient
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What flipping outcomes does to the probability
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Copyright © 2026 Philip M Jones


Philip M Jones
Professor
Department of Anesthesiology & Perioperative Medicine
Mayo Clinic, Jacksonville, Florida, USA
jones.philip2@mayo.edu