PPolySim OS
For Researchers · Bayesian Inference

Bayesian Inference for a correlation study

Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a correlation study live below — adjust the inputs and watch it respond, right in your browser.

Bayesian InferenceLive

Controls

Presets

Bayesian inference updates a prior belief with data to form a posterior. For a coin, a Beta prior combined with binomial coin flips gives a Beta posterior — the conjugate update is just adding heads to α and tails to β. Watch the posterior sharpen and shift as evidence accumulates.

▶ Run in Python

Data Inspector

Posterior mean0.667
Posterior SD0.094
Posterior α, β16.0, 8.0

Governing equation

Reading this result: The posterior mean 0.667 sits between the prior mean 0.500 and the observed rate 0.700; with 20 flips versus 4.0 pseudo-counts, the data dominates and pulls the estimate toward the evidence.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

More with Bayesian Inference

Frequently asked questions

Is this good for researchers?
Yes — this version of "Bayesian Inference for a correlation study" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.