MCPMod (version 1.0-10.1)

emax: Emax model

Description

The model function for the Emax model is defined as $$f(d,\theta )=E_0+E_{max}\frac{d}{E{D}_{50}+d}$$

Usage

emax(dose, e0, eMax, ed50)

Arguments

dose

Dose variable

e0

Placebo effect

eMax

Asymptotic maximum change from placebo effect

ed50

Dose giving half of the asymptotic maximum effect

Value

Response value

Details

The emax model is used to represent monotone, concave dose-response shapes. To distinguish it from the more general sigmoid emax model it is sometimes also called hyperbolic emax model.

References

MacDougall, J. (2006). Analysis of dose-response studies - Emax model,in N. Ting (ed.), Dose Finding in Drug Development, Springer, New York, pp. 127--145

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

sigEmax, logistic, betaMod, linlog, linear, quadratic, exponential