The mean of the response variable is $$f(x, \bold{\theta}) = \frac{ax}{(b + x)},$$ where \(\bold{\theta} = (a, b)\).
FIM_michaelis(x, w, param)vector of design points.
vector of design weight. Its length must be equal to the length of x and sum(w) should be 1.
vector of model parameters \(\bold{\theta} = (a, b)\).
Fisher information matrix.
There is an analytical solution for the locally D-optimal design. See Rasch (1990).
Rasch, D. (1990). Optimum experimental design in nonlinear regression. Communications in Statistics-Theory and Methods, 19(12), 4786-4806.
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