| logistic {MCPMod} | R Documentation |
Logistic Model
Description
The model function for the logistic model is defined as
f(d, \theta) = E_0 + E_{\max}/\left\{1 + \exp\left[ \left(ED_{50} - d
\right)/\delta \right] \right\}
Usage
logistic(dose, e0, eMax, ed50, delta)
Arguments
dose |
Dose variable |
e0 |
Left-asymptote parameter, corresponding to a basal effect level (not the placebo effect, though). |
eMax |
Asymptotic maximum change in effect from the basal level. |
ed50 |
Dose giving half of the asymptotic maximum effect. |
delta |
Parameter controlling determining the steepness of the curve. |
Details
The logistic model is intended to capture general monotone, sigmoid dose-response relationships.
Value
Response value
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
betaMod, logistic, sigEmax,
linlog, linear, quadratic,
exponential