Power of Interaction Test for Exponential Survival
Uses the method of Peterson and George to compute the power of an
interaction test in a 2 x 2 setup in which all 4 distributions are
exponential. This will be the same as the power of the Cox model
test if assumptions hold. The test is 2-tailed.
The duration of accrual is specified
(constant accrual is assumed), as is the minimum follow-up time.
The maximum follow-up time is then accrual + tmin
. Treatment
allocation is assumed to be 1:1.
ciapower(tref, n1, n2, m1c, m2c, r1, r2, accrual, tmin, alpha=0.05, pr=TRUE)
tref |
time at which mortalities estimated |
n1 |
total sample size, stratum 1 |
n2 |
total sample size, stratum 2 |
m1c |
tref-year mortality, stratum 1 control |
m2c |
tref-year mortality, stratum 2 control |
r1 |
% reduction in |
r2 |
% reduction in |
accrual |
duration of accrual period |
tmin |
minimum follow-up time |
alpha |
type I error probability |
pr |
set to |
power
prints
Frank Harrell
Department of Biostatistics
Vanderbilt University
Peterson B, George SL: Controlled Clinical Trials 14:511–522; 1993.
# Find the power of a race x treatment test. 25% of patients will # be non-white and the total sample size is 14000. # Accrual is for 1.5 years and minimum follow-up is 5y. # Reduction in 5-year mortality is 15% for whites, 0% or -5% for # non-whites. 5-year mortality for control subjects if assumed to # be 0.18 for whites, 0.23 for non-whites. n <- 14000 for(nonwhite.reduction in c(0,-5)) { cat("\n\n\n% Reduction in 5-year mortality for non-whites:", nonwhite.reduction, "\n\n") pow <- ciapower(5, .75*n, .25*n, .18, .23, 15, nonwhite.reduction, 1.5, 5) cat("\n\nPower:",format(pow),"\n") }
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