LogisticKadane-class | R Documentation |
LogisticKadane
LogisticKadane
is the class for the logistic model in the parametrization
of Kadane et al. (1980).
LogisticKadane(theta, xmin, xmax)
.DefaultLogisticKadane()
theta |
( |
xmin |
( |
xmax |
( |
Let rho0 = p(xmin)
be the probability of a DLT at the minimum dose
xmin
, and let gamma
be the dose with target toxicity probability theta
,
i.e. p(gamma) = theta
. Then it can easily be shown that the logistic
regression model has intercept
[gamma * logit(rho0) - xmin * logit(theta)] / [gamma - xmin]
and slope
[logit(theta) - logit(rho0)] / [gamma - xmin].
The priors are
gamma ~ Unif(xmin, xmax).
and
rho0 ~ Unif(0, theta).
theta
(proportion
)
the target toxicity probability.
xmin
(number
)
the minimum of the dose range.
xmax
(number
)
the maximum of the dose range.
The slots of this class, required for creating the model, are the target toxicity, as well as the minimum and maximum of the dose range. Note that these can be different from the minimum and maximum of the dose grid in the data later on.
Typically, end-users will not use the .DefaultLogisticKadane()
function.
ModelLogNormal
my_model <- LogisticKadane(theta = 0.33, xmin = 1, xmax = 200)
Add the following code to your website.
For more information on customizing the embed code, read Embedding Snippets.