dminimaxU: Minimax observed time

In npsurvSS: Sample Size and Power Calculation for Common Non-Parametric Tests in Survival Analysis

Minimax observed time

Description

Density, distribution function, quantile function, and expected value for the minimum of the maximum observed time over two treatment arms.

Usage

dminimaxU(x, arm0, arm1, include_cens = T)

pminimaxU(q, arm0, arm1, include_cens = T, lower.tail = T)

qminimaxU(p, arm0, arm1, include_cens = T, margin = 0.01)

eminimaxU(arm0, arm1, include_cens = T)

Arguments

x, q	vector of quantiles.
arm0	object of class 'arm'.
arm1	object of class 'arm'.
include_cens	logical; if TRUE, include time-to-censoring as potential observed time; otherwise, observed time equals time-to-event.
lower.tail	logical; if TRUE, probabilities are P(X \le x); otherwise, P(X > x).
p	vector of probabilities.
margin	margin of accuracy.

Details

Given a patient in arm X_i=j with time-to-event T_i and time-to-censoring C_i, U_i=\min(T_i, C_i) defines the patient's observed time. The maximum observed time over patients of arm j is then \max_{i:X_i=j} U_i, and the minimax observed time over two arms is \min_j (\max_{i:X_i=j} U_i).

Value

dminimaxU gives the density, pminimaxU gives the distribution function, qminimaxU gives the quantile function, and eminimaxU gives the expected value.

See Also

create_arm and create_arm_lachin for creating an object of class 'arm'.

npsurvSS documentation built on May 29, 2024, 11:23 a.m.