hd: Integrated Event Probability Over an Interval With Constant...

In lrstat: Power and Sample Size Calculation for Non-Proportional Hazards and Beyond

Integrated Event Probability Over an Interval With Constant Hazard

Description

Obtains the integration probability of having an event during an interval with constant hazard.

Usage

hd(
  j = NA_integer_,
  t1 = NA_real_,
  t2 = NA_real_,
  piecewiseSurvivalTime = 0L,
  lambda = NA_real_,
  gamma = 0L
)

Arguments

j	The analysis time interval with constant hazard.
t1	Lower bound of the analysis time interval.
t2	Upper bound of the analysis time interval.
piecewiseSurvivalTime	A vector that specifies the starting time of piecewise exponential survival time intervals. Must start with 0, e.g., c(0, 6) breaks the time axis into 2 event intervals: [0, 6) and [6, Inf). Defaults to 0 for exponential distribution.
lambda	A vector of hazard rates for the event. One for each analysis time interval.
gamma	The hazard rate for exponential dropout, or a vector of hazard rates for piecewise exponential dropout.

Value

A value for the integrated probability of having an event during an interval with constant hazard for a treatment group with specified piecewise exponential survival and dropout distributions.

Author(s)

Kaifeng Lu, [e-mail]

Examples

# Piecewise exponential survival with hazard 0.0533 in the first 6
# months, and hazard 0.0309 thereafter, and 5% dropout by the end of
# 1 year.

hd(j = 1, t1 = 1, t2 = 3, piecewiseSurvivalTime = c(0, 6),
   lambda = c(0.0533, 0.0309), gamma = -log(1-0.05)/12)

lrstat documentation built on Oct. 18, 2024, 9:06 a.m.