Processing math: 100%
Bayesian Update For a Beta-Binomial Distribution
This application is developed by: J. Jack Lee and Ying-Wei Kuo
Department of Biostatistics, MD Anderson Cancer Center, Houston, TX 77030
PID:802;
v1.0.9.0
; Last Updated: 11/10/2022
Step-by-Step Learning: Data Update
Credible Interval Coverage (%)
0.01%
99%
0
0
95%
0.01
10
20
30
40
50
60
70
80
90
99
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
Edit
Start Over
Step-by-Step Learning:
Vary Prior and Data
Sliding-bar
Number Entry
Credible Interval Coverage (%)
0.01%
99%
0
0
95%
0.01
10
20
30
40
50
60
70
80
90
99
Beta Prior Parameters (
a
0
,
b
0
)
a
0
0.01
100
0
0
1
0.01
10
20
30
40
50
60
70
80
90
100
b
0
0.01
100
0
0
1
0.01
10
20
30
40
50
60
70
80
90
100
Calculate Prior
Treatment Outcomes
Number of Successes (
r
)
0
100
0
0
1
0
10
20
30
40
50
60
70
80
90
100
Number of Failures (
n
−
r
)
0
100
0
0
2
0
10
20
30
40
50
60
70
80
90
100
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 (%)
0.01
99
0
0
95
0.01
10
20
30
40
50
60
70
80
90
99
Beta Prior Parameters (
a
0
,
b
0
)
a
0
b
0
Design Parameters
True Success Rate (%)
0%
100%
0
0
30%
0
10
20
30
40
50
60
70
80
90
100
Cohort Size
Number of Cohorts
Simulation Setting
Random Number Seed
Lag Time (
s
e
c
o
n
d
s
)
Calculate Posterior
Hold
Continue
Edit
Start Over
Support Document
Step-by-Step Learning
Trial Simulation
Support Document
Data Update
Vary Prior and Data
Open Support Document in A New Window