m: M Function

In NPHMC: Sample Size Calculation for the Proportional Hazards Mixture Cure Model

M Function

Description

M integrate function

Usage

m(t, beta0, gamma0, pi0, survdist, k, lambda0)

Arguments

t	time variable
beta0	log hazard ratio of uncured patients
gamma0	log odds ratio of cure rates between two arms
pi0	cure rate for the control arm, which is between 0 and 1.
survdist	survival distribution of uncured patients. It can be "exp" or "weib".
k	if survdist = "weib", the shape parameter k needs to be specified. By default k = 1, which refers to the exponential distribution.
lambda0	the scale parameter of exponential distribution or Weibull distribution for survival times of uncured patients in the control arm. The density function of Weibull distribution with shape parameter k and scale parameter λ_0 is given by f(t)=λ_{0}k(λ_{0}t)^{k-1}\exp(-(λ_{0}t)^k), for t > 0, and the corresponding survival distribution is S(t)=\exp(-(λ_0 t)^k).

NPHMC documentation built on May 9, 2022, 1:06 a.m.