DoseFinding (version 0.1-3)

exponential: Exponential (power) model

Description

The model function for the exponential model is defined as $$f(d,\theta)=E_0+E_1(exp(d/\delta)-1)$$

Usage

exponential(dose, e0, e1, delta)

Arguments

dose

Dose variable

e0

Placebo effect

e1

E1 parameter

delta

Delta parameter, controlling the convexity of the model.

Value

• Response value

Details

This model is intended to capture a possible sub-linear or a convex dose-response relationship.

References

Pinheiro, J. C., Bretz, F. and Branson, M. (2006). Analysis of dose-response studies - modeling approaches, in N. Ting (ed.). Dose Finding in Drug Development, Springer, New York, pp. 146--171

See Also

logistic, sigEmax, linlog, linear, quadratic, emax, betaMod

Examples

## some exponential example shapes
expoModList <- list(exponential = c(0.1,0.25,0.5,2))
plotModels(expoModList, c(0,1), base = 0, maxEff = 1)