Fisher information matrix for the three-parameter emax model.

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Description

The mean of response variable is

f(x, \bold{θ}) = θ0 + θ1 x/(x + θ2)

.

Usage

1
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{θ} =(θ0, θ1, θ2).

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 θ0.

Value

Fisher information matrix.

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

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