quadratic function

Quadratic model

Quadratic model

The model function for the quadratic model is defined as [REMOVE_ME]f(d,θ)=E0+β1d+β2d2f(d,theta)=E0+beta1d+beta2d2.[REMOVEME2] f(d,\theta)=E_0+\beta_1d+\beta_2d^2f(d,theta)=E0+beta1 d+beta2 d^2. [REMOVE_ME_2]

Description

The model function for the quadratic model is defined as

f(d,θ)=E0+β1d+β2d2f(d,theta)=E0+beta1d+beta2d2. f(d,\theta)=E_0+\beta_1d+\beta_2d^2f(d,theta)=E0+beta1 d+beta2 d^2.
quadratic(dose, e0, b1, b2)

Arguments

  • dose: Dose variable
  • e0: Placebo effect
  • b1: beta1 parameter
  • b2: beta2 parameter (controls, whether model is convex or concave)

Details

This model is intended to capture a possible non-monotonic dose-response relationship.

Returns

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

logistic, sigEmax, linlog, linear, exponential, emax, betaMod

  • Maintainer: Bjoern Bornkamp
  • License: GPL-3
  • Last published: 2020-03-09

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