Bayesian Adaptive Randomization with Posterior Probability

Auto Generated Graph Parameters

Auto Generated Graph Parameters

Trial Name (Optional):

Trial Design:

W/O Control Arm W/ Control Arm

Equal Prior for All Arms

Input Cohorts Manually

Early Stopping for Futility

Early Stopping for Efficacy

Bayesian Adaptive Randomization with Posterior Probability

This application is developed by: J. Jack Lee, Ying-Wei Kuo and Nan Chen

Department of Biostatistics, MD Anderson Cancer Center, Houston, TX 77030

PID:948; v2.0.2.0 ; Last Updated: 07/22/2020

Simulation

One Trial

Operating Characteristics

One Trial

Graph Parameters:

Arm

Color

Line Type

Point Symbol

Operating Characteristics

Graph Parameters:

Arm

Color

Line Type

Point Symbol

Animation Settings:

Animation increment

Delays to start (\(seconds\))

Delay Time (\(seconds\))

Note: Arm 1 is the control arm

Number of Arm (\(k\))

Prior Settings:

Prior distribution for \(\theta\): \(\textit{Beta}\)(\(a_1, b_1\))

Prior distribution for \(\theta_i\): \(\textit{Beta}\)(\(a_i, b_i\))

Arm

a

b

True Response Rate:

Arm

True Rate

Sample Size:

Minimum of total number of patients treated before early stopping rule applies

Maximum of total number of patients in the trial

Cohort Specification for Interim Analysis:

Cohort size for Interim Analysis

Cohorts for Interim Analysis: (separate by a comma)

Randomization Parameters:

Size of Equal Randomization (multiple of \(k\))

Adaptive Randomization Cohort Size

AR Cohort size is too large, suggest to use a small value.

Adaptive Randomization Method

Adaptive Randomization Tuning Parameter (\(\tau\))

Allocation Function Parameter (\(\tau\)) (0.0--1.0)

Allocation Function Parameter (\(\tau_1\)) (>=1.0)

Minimum Randomization Probability for the control arm (\(p_1\))

Minimum Randomization Probability for each testing arm (\(p_{i}\))

Number of Simulations for calculating AR

Simulation Parameters:

Number of Simulated Trials

Seed

Efficacy Parameters:

Probability of Response (\(\theta\))

Criterion for futility stopping:

Stop for futility if \(\textit{Prob}\) (\(\theta \le \theta_{fut}\)) \(> P_{fut}\)

Stop for futility if \(\textit{Prob}\) (\(\theta \le \theta_{1}\)) \(> P_{fut}\)

Reference response rate for futility monitoring (\(\theta_{fut}\))

Probability confidence threshold for futility stopping (\(\textit{P}_{fut}\))

Criterion for declaring efficacy early:

Stop for efficacy if \(\textit{Prob}\) (\(\theta > \theta_{eff}\)) \(\ge P_{eff}\)

Stop for efficacy if \(\textit{Prob}\) (\(\theta > \theta_{1}\)) \(\ge P_{eff}\)

Reference response rate for efficacy monitoring (\(\theta_{eff}\))

Probability confidence threshold for claiming efficacy early (\(\textit{P}_{eff}\))

Criterion for declaring efficacy:

Declare efficacy if \(\textit{Prob}\) (\(\theta > \theta_{eff.final}\)) \(\ge P_{eff.final}\)

Declare efficacy if \(\textit{Prob}\) (\(\theta > \theta_{1}\)) \(\ge P_{eff.final}\)

Reference response rate for final decision (\(\theta_{eff.final}\))

Probability confidence threshold for claiming efficacy (\(\textit{P}_{eff.final}\))

Upload Simulation - One Trial Input file from previous session ( .csv format): [Sample input file]

Note: Please only upload the file generated by this app. Do NOT edit the file.

Upload Operating Characteristics Input file from previous session ( .csv format): [Sample input file]

Note: Please only upload the file generated by this app. Do NOT edit the file.

Trial Monitoring

Session 1

Note: Arm 1 is the control arm

Number of Patients

Seq. No.

Reference response rate for final decision
(\(\theta_{eff.final}\))