linlog function

Linear in log dose Model

Linear in log dose Model

The model function for the linear in log model is defined as [REMOVE_ME]f(d,θ)=E0+δlog(d+off)f(d,theta)=E0+deltalog(d+off),[REMOVEME2] f(d,\theta)=E_0+\delta \log(d + off)f(d,theta)=E0+delta log(d + off), [REMOVE_ME_2] where offoff is an offset parameter not estimated in the code.

Description

The model function for the linear in log model is defined as

f(d,θ)=E0+δlog(d+off)f(d,theta)=E0+deltalog(d+off), f(d,\theta)=E_0+\delta \log(d + off)f(d,theta)=E0+delta log(d + off),

where offoff is an offset parameter not estimated in the code.

linlog(dose, e0, delta, off = 1)

Arguments

  • dose: Dose variable
  • e0: Placebo effect
  • delta: Slope parameter
  • off: Offset value to avoid problems with dose=0 (treated as a fixed value in the code)

Details

The linear in log-dose model is intended to capture concave shapes. The parameter off is not estimated in the code but set to a pre-specified value.

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, linear, exponential, quadratic, emax, betaMod

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

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