betaMod: Beta model

In MCPMod: Design and Analysis of Dose-Finding Studies

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

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