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drc (version 1.2-0)

richards: Richards model

Description

'richards'

Usage

richards(fixed = c(NA, NA, NA, NA, NA), names = c("c", "d", "delta", "kappa", "gamma"))

Arguments

fixed
numeric vector. Specifies which parameters are fixed and at what value they are fixed. NAs for parameter that are not fixed.
names
a vector of character strings giving the names of the parameters (should not contain ":"). The order of the parameters is: c, d, delta, kappa, gamma (see under 'Details').

Value

  • An object containing with all components needed in multdrc.

Details

The model is given by the expression $$f(x) = c + (d-c) ( 1 + (delta-1)\exp(-kappa(\log(x)-\log(gamma))) )^(1/(1-delta))$$ It is a five-parameter model suitable for asymmetric dose-response relationships. In fact it is a reparameterisation of the five-parameter log-logistic model. For delta=2 the model simplifies the four-parameter log-logistic model.

References

Seber, G. A. F. and Wild, C. J. (1989) Nonlinear Regression, New York: Wiley & Sons (pp. 332--337).

Examples

Run this code
## Fitting Richards model
m1 <- multdrc(ryegrass, fct = richards())

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