emax {MCPMod} | R Documentation |
Emax model
Description
The model function for the Emax model is defined as
f(d,\theta)=E_0+E_{max}\frac{d}{ED_{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 |
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