Learn R Programming

ICAOD (version 0.9.1)

FIM_michaelis: Fisher information matrix for the Michaelis-Menten model.

Description

The mean of the response variable is $$f(x, \bold{\theta}) = \frac{ax}{(b + x)},$$ where $\bold{\theta} = (a, b)$.

Usage

FIM_michaelis(x, w, param)

Arguments

x
vector of design points.
w
vector of design weight. Its length must be equal to the length of x and sum(w) should be 1.
param
vector of model parameters $\bold{\theta} = (a, b)$.

Value

Fisher information matrix.

Details

There is an analytical solution for the locally D-optimal design. See Rasch (1990).

References

Rasch, D. (1990). Optimum experimental design in nonlinear regression. Communications in Statistics-Theory and Methods, 19(12), 4786-4806.

See Also

Other FIM: FIM_comp_inhibition, FIM_emax_3par, FIM_exp_2par, FIM_exp_3par, FIM_logisitic_1par, FIM_logistic_4par, FIM_logistic, FIM_loglin, FIM_mixed_inhibition, FIM_noncomp_inhibition, FIM_power_logistic, FIM_uncomp_inhibition