emax: Emax model

In MCPMod: Design and Analysis of Dose-Finding Studies

Description

The model function for the Emax model is defined as

f(d,theta)=E0+Emax d/(ED50 + 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

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.

Value

Response value

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

MCPMod documentation built on March 26, 2020, 7:28 p.m.