ROPE & HDI Decision Dashboard

How posterior width, effect size, and ROPE boundaries drive Bayesian decisions

Adjust the posterior (via n and k/n) and the ROPE boundaries to see how the HDI–ROPE relationship changes the decision in real time.

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Sample size n 20

Observed proportion k/n 0.750

Prior: Beta(α₀, β₀) — each 1

ROPE centre θ₀ 0.55

ROPE half-width ε 0.100

Level 95%

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Posterior mean

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HDI bounds

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P(in ROPE)

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P(above ROPE)