betaMod {MCPMod}R Documentation

Beta model

Description

The beta model is defined as

f(d,theta)=E0+Emax B(delta1,delta2)(d/scal)^delta1(1-d/scal)^delta2

where

B(delta1,delta2)=(delta1+delta2)^(delta1+delta2)/(delta1^delta1 delta2^delta2).

Usage

betaMod(dose, e0, eMax, delta1, delta2, scal)

Arguments

dose Dose variable
e0 Placebo effect
eMax Maximum effect
delta1 delta1 parameter
delta2 delta2 parameter
scal Scale parameter (not estimated in the code)

Details

The beta model is intended to capture non-monotone dose-response relationships and is more flexible than the quadratic model. The kernel of the beta model function consists of the kernel of the density function of a beta distribution on the interval [0,scal]. The parameter scal is not estimated but needs to be set to a value larger than the maximum dose via the argument scal.

Value

Response value

See Also

logistic, sigEmax, linlog, linear, quadratic, emax, exponential


[Package MCPMod version 1.0-2 Index]