True dose-response used by the simulation DGP

Saturating exponential beta * (1 - exp(-alpha * pmax(x - x_min, 0))). This is the function the simulation tries to recover; it serves as the ground truth in generate_aft_data() and is exported so users can overlay it on plots.

Usage

f_true(x, beta = 0.6, alpha = 0.4, x_min = 6)

Arguments

x

Numeric vector of exposure values.

beta

Saturation amplitude (asymptote as x grows large).

alpha

Curvature parameter (larger = steeper initial rise).

x_min

Threshold below which the response is flat at zero.

Value

Numeric vector the same length as x.

Examples

x <- seq(0, 20, length.out = 100)
plot(x, f_true(x), type = "l")