Bayesian Update For a Beta-Binomial Distribution
J. Jack Lee and Ying-Wei Kuo
PID:802;v1.1.0.0; Last Updated: 03/26/2026
Step-by-Step Learning: Data Update
Credible Interval Coverage (%)
Beta Prior Parameters (\(a_0\), \(b_0\))
\(a_0\)
\(b_0\)
Calculate Prior
Treatment Outcomes
Number of Successes (\(r\))
Number of Failures (\(n - r\))
Calculate Posterior
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Step-by-Step Learning:
Vary Prior and Data
Sliding-bar
Number Entry
Credible Interval Coverage (%)
Beta Prior Parameters (\(a_0\), \(b_0\))
\(a_0\)
\(b_0\)
Calculate Prior
Treatment Outcomes
Number of Successes (\(r\))
Number of Failures (\(n - r\))
Calculate Posterior
Start Over
Credible Interval Coverage (%)
Beta Prior Parameters (\(a_0\), \(b_0\))
\(a_0\)
\(b_0\)
Calculate Prior
Treatment Outcomes
Number of Successes (\(r\))
Number of Failures (\(n - r\))
Calculate Posterior
Start Over
Trial Simulation
Credible Interval Coverage (%)
Beta Prior Parameters (\(a_0\), \(b_0\))
\(a_0\)
\(b_0\)
Design Parameters
True Success Rate (%)
Cohort Size
Number of Cohorts
Simulation Setting
Random Number Seed
Lag Time (\(seconds\))
Calculate Posterior
Hold
Continue
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Start Over
Support Document
Step-by-Step Learning
Trial Simulation
Support Document
Data Update
Vary Prior and Data
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