The gamma dose-response model is a four-parameter model derived from the cumulative distribution function of the gamma distribution.

gammadr(fixed = c(NA, NA, NA, NA),
  names = c("b", "c", "d", "e"), fctName, fctText)

Arguments

fixed

numeric vector specifying which parameters are fixed and at what value they are fixed. NAs are used for parameters that are not fixed.

names

a vector of character strings giving the names of the parameters (should not contain ":"). The default is reasonable (see under 'Usage').

fctName

optional character string used internally by convenience functions.

fctText

optional character string used internally by convenience functions.

Details

Following Wheeler and Bailer (2009) the model function is defined as follows:

$$f(x) = c + (d-c) * pgamma(b*x, e, 1)$$

This model is only suitable for increasing dose-response data.

Value

The value returned is a list containing the nonlinear function, the self starter function and the parameter names.

References

Wheeler, M. W., Bailer, A. J. (2009) Comparing model averaging with other model selection strategies for benchmark dose estimation, Environmental and Ecological Statistics, 16, 37--51.