DualEndpointEmax — DualEndpointEmax-class • crmPack

DualEndpointEmax is the class for the dual endpoint model with Emax function for dose-biomarker relationship.

Usage

DualEndpointEmax(E0, Emax, ED50, ref_dose_emax = 1, ...)

.DefaultDualEndpointEmax()

Arguments

E0: (numeric)
either a fixed number or the two uniform distribution parameters.
Emax: (numeric)
either a fixed number or the two uniform distribution parameters.
ED50: (numeric)
either a fixed number or the two uniform distribution parameters.
ref_dose_emax: (number)
the reference dose $x*$ (strictly positive number). Note that this is different from the ref_dose in the inherited DualEndpoint model).
...: parameters passed to DualEndpoint().

Details

This class extends the DualEndpoint class so that the dose-biomarker relationship $f(x)$ is modelled by a parametric Emax function: $$f(x) = E0 + [(Emax - E0) * (x/x*)]/[ED50 + (x/x*)],$$ where $x*$ is a reference dose, $E0$ and $Emax$ are the minimum and maximum levels for the biomarker, and $ED50$ is the dose achieving half of the maximum effect $0.5 * Emax$. All parameters can currently be assigned uniform distributions or be fixed.

Slots

E0: (numeric)
either a fixed number or the two uniform distribution parameters.
Emax: (numeric)
either a fixed number or the two uniform distribution parameters.
ED50: (numeric)
either a fixed number or the two uniform distribution parameters.
ref_dose_emax: (positive_number)
the reference dose $x*$ (note that this is different from the ref_dose in the inherited DualEndpoint model).

Note

Typically, end users will not use the .DefaultDualEndpointEmax() function.

Examples

my_model <- DualEndpointEmax(
  mean = c(0, 1),
  cov = matrix(c(1, 0, 0, 1), nrow = 2),
  sigma2W = c(a = 0.1, b = 0.1),
  rho = c(a = 1, b = 1),
  E0 = c(0, 100),
  Emax = c(0, 500),
  ED50 = c(10, 200),
  ref_dose_emax = 1000
)

`DualEndpointEmax`