crmPack (version 2.0.0)

LogisticLogNormalSub-class: LogisticLogNormalSub

Description

LogisticLogNormalSub is the class for a standard logistic model with bivariate (log) normal prior with subtractive dose standardization.

Usage

LogisticLogNormalSub(mean, cov, ref_dose = 0)
.DefaultLogisticLogNormalSub()

Arguments

mean

(numeric)
the prior mean vector.

cov

(matrix)
the prior covariance matrix. The precision matrix prec is internally calculated as an inverse of cov.

ref_dose

(number)
the reference dose \(x*\).

Slots

params

(ModelParamsNormal)
bivariate normal prior parameters.

ref_dose

(number)
the reference dose \(x*\).

Details

The covariate is the dose \(x\) minus the reference dose \(x*\), i.e.: $$logit[p(x)] = alpha0 + alpha1 * (x - x*),$$ where \(p(x)\) is the probability of observing a DLT for a given dose \(x\). The prior $$(alpha0, log(alpha1)) ~ Normal(mean, cov).$$

See Also

LogisticNormal, LogisticLogNormal, ProbitLogNormal, ProbitLogNormalRel.

Examples

my_model <- LogisticLogNormalSub(
  mean = c(-0.85, 1),
  cov = matrix(c(1, -0.5, -0.5, 1), nrow = 2),
  ref_dose = 50
)