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crmPack (version 2.0.0)

LogisticKadane-class: LogisticKadane

Description

[Stable]

LogisticKadane is the class for the logistic model in the parametrization of KadaneDickeyWinklerSmithPeters1980;textualcrmPack.

Usage

LogisticKadane(theta, xmin, xmax)

.DefaultLogisticKadane()

Arguments

theta

(proportion)
the target toxicity probability.

xmin

(number)
the minimum of the dose range.

xmax

(number)
the maximum of the dose range.

Slots

theta

(proportion)
the target toxicity probability.

xmin

(number)
the minimum of the dose range.

xmax

(number)
the maximum of the dose range.

Details

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 $$rho0 ~ Unif(0, theta).$$

References

See Also

ModelLogNormal

Examples

Run this code
my_model <- LogisticKadane(theta = 0.33, xmin = 1, xmax = 200)

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