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drc (version 2.5-12)

gammadr: Gamma dose-response model

Description

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

Usage

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.

Value

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

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.

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.

See Also

The basic component in the two-phase model is the log-logistic model llogistic.