gammatable: Generating table of threshold gamma_L and gamma_R in the...

In CFO: CFO-Type Designs in Phase I/II Clinical Trials

Generating table of threshold \gamma_L and \gamma_R in the calibration-free odds (CFO) design

Description

Generate all the possible thresholds under different m_C, m_L and m_R

Usage

gammatable(npatient, target, 
            para.prior = list(alp.prior = target, bet.prior = 1 - target))

Arguments

npatient	the numbers of patients involved in the trial.
target	the target DLT rate.
para.prior	the prior parameters for a beta distribution, where set as list(alp.prior = target, bet.prior = 1 - target) by default, alp.prior and bet.prior represent the parameters of the prior distribution for the true DLT rate at any dose level. This prior distribution is specified as Beta(alpha.prior, beta.prior).

Value

The gammatable() function returns a list object comprising the following elements:

• gammatb.left: the table of threshold \gamma_L under different m_L and m_C where m_C and m_L represent the number of patients at current dose level and left dose level.

• gammatb.right: the table of threshold \gamma_R under different m_R and m_C where m_C and m_R represent the number of patients at current dose level and right dose level.

Note

This function generate two matrices. gammatb.left contains the threshold \gamma_L, and gammatb.right contains the threhold \gamma_R. For matrix gammatb.left, the row index represent the number of patients at left dose level, and the column index represent the number of patients at current dose level. For matrix gammatb.right, the row index represent the number of patients at right dose level, and the column index represent the number of patients at current dose level. For example, if you want to get the threshold \gamma_L in the case of m_C = 12, m_L = 13, you can reach it by result$gammatb.left[13,12]

Author(s)

Jialu Fang, Ninghao Zhang, Wenliang Wang, and Guosheng Yin

References

Jin H, Yin G (2022). CFO: Calibration-free odds design for phase I/II clinical trials. Statistical Methods in Medical Research, 31(6), 1051-1066.

Examples

npatient <- 3; target <- 0.3
para.prior = list(alp.prior = target, bet.prior = 1 - target)
result <- gammatable(npatient, target, para.prior)
plot(result)
#This example may cost you a long time to run
npatient <- 30; target <- 0.3
para.prior = list(alp.prior = target, bet.prior = 1 - target)
result <- gammatable(npatient, target, para.prior)
plot(result)

CFO documentation built on April 4, 2025, 2:34 a.m.