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MCPMod (version 1.0-10.1)

linlog: Linear in log dose Model

Description

The model function for the linear in log model is defined as $$ f(d,\theta)=E_0+\delta \log(d + off)$$ where \(off\) is an offset parameter not estimated in the code.

Usage

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)

Value

Response value

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.

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