# prob.def4: conditional probabilities of claiming consistency of... In carolinewei/apsurvival: Total sample size and its allocation for the MRCT

## Description

conditional probabilities of claiming consistency of treatments effects in an MRCT with a survival endpoint by Definition 4.

## Usage

 ```1 2``` ```prob.def4(r0, alpha, s, E0, u, f, eps = 0.1, n = 1e+05, lamda, lamda_cen, L) ```

## Arguments

 `r0` True overall log hazard ratio `alpha` The risk of rejecting the null hypothesis H0:r0>=0 when it is really true `s` Number of regions participating in the MRCT `E0` Event number of all regions with two groups combined `u` A vector presents ratios of true regional log hazard ratios to true overall log hazard ratio r=u*r0 `f` A Vector presents proportions of total event number assigned to each region `eps` Significance level of not rejecting H0 in Definition 4 `n` Simulation times `lamda` The event hazard rate for placebo `lamda_cen` The discontinuation hazard rate `L` The whole study duration of fixed study duration design

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## Examples

 ```1 2 3 4 5 6``` ```alpha=0.05 r0=log(0.7) E0=Eventnum(r=r0, alpha=0.05, beta=0.2) set.seed(123) AP4 <- prob.def4(r0=r0, alpha=alpha, s=3, E0=E0, u=c(1,1,1), f=c(1/3,1/3,1/3), eps=0.1, n=1000, lamda=1, lamda_cen=1, L=2) ```

carolinewei/apsurvival documentation built on Nov. 4, 2019, 8:44 a.m.