crmPack (version 1.0.6)

LogisticLogNormalSub-class: Standard logistic model with bivariate (log) normal prior with substractive dose standardization

Description

This is the usual logistic regression model with a bivariate normal prior on the intercept and log slope.

Slots

mean

the prior mean vector \(\mu\)

cov

the prior covariance matrix \(\Sigma\)

refDose

the reference dose \(x^{*}\)

Details

The covariate is the dose \(x\) minus the reference dose \(x^{*}\):

$$logit[p(x)] = \alpha + \beta \cdot (x - x^{*})$$ where \(p(x)\) is the probability of observing a DLT for a given dose \(x\).

The prior is $$(\alpha, \log(\beta)) \sim Normal(\mu, \Sigma)$$

The slots of this class contain the mean vector and the covariance matrix of the bivariate normal distribution, as well as the reference dose.

Examples

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