FIM_logistic_4par {ICAOD}

Fisher Information Matrix for the 4-Parameter Logistic Model

Description

It provides the cpp function for the FIM for the model ~theta1/(1+exp(theta2*x+theta3))+theta4. This model is another re-parameterization of the 4-parameter Hill model. For more details, see Eq. (1) and (2) in Hyun and Wong (2015).

Usage

FIM_logistic_4par(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) = 1.

param

Vector of values for the model parameters c(theta1, theta2, theta3, theta4).

Details

The fisher information matrix does not depend on theta4.

Value

Fisher information matrix.

References

Hyun, S. W., & Wong, W. K. (2015). Multiple-Objective Optimal Designs for Studying the Dose Response Function and Interesting Dose Levels. The international journal of biostatistics, 11(2), 253-271.

See Also

multiple

Examples

FIM_logistic_4par(x = c(-6.9, -4.6, -3.9, 6.7 ),
                  w = c(0.489, 0.40, 0.061, 0.050),
                  param = c(1.563, 1.790, 8.442, 0.137))