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ICAOD (version 0.9.1)

FIM_emax_3par: Fisher information matrix for the three-parameter emax model.

Description

The mean of response variable is $$f(x, \bold{\theta}) = \theta_0 + \frac{\theta_1 x}{(x + \theta_2)}$$.

Usage

FIM_emax_3par(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 $\bold{\theta} =(\theta0, \theta1, \theta2)$.

Value

Fisher information matrix.

Details

The model has an analytical solution for the locally D-optimal design. See Dette et al. (2010) for more details. The Fisher information matrix does not depend on $\theta0$.

References

Dette, H., Kiss, C., Bevanda, M., & Bretz, F. (2010). Optimal designs for the EMAX, log-linear and exponential models. Biometrika, 97(2), 513-518.

See Also

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