OptimalDesign (version 1.0.2.1)

Fx_dose: Matrix of candidate regressors for a dose-response model

Description

Creates the matrix of all candidate regressors for a linearization of a dose response model.

Usage

Fx_dose(dose.levels, theta0, dose.model="emax", echo=TRUE)

Value

The n times 3 matrix of all candidate regressors of a dose-response model linearized in theta0.

Arguments

dose.levels

the n-dimensional vector of admissible doses.

theta0

the 3-dimensional vector of values of the unknown parameter in which to linearize the model.

dose.model

the type of the dose-response model, possible values are "emax", "loglin", and "exp".

echo

Print the call of the function?

Author

Radoslav Harman, Lenka Filova

Details

For mathematical details, see the referenced paper.

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

Fx_cube, Fx_simplex, Fx_blocks, Fx_glm, Fx_survival

Examples

# The loglinear model for the doses 1:150
# Localized at the values of theta0=c(0, 0.0797, 1)
Fx <- Fx_dose(1:150, c(0, 0.0797, 1), dose.model="loglin")

# The locally D-optimal approximate design
w_a <- od_REX(Fx)$w.best
od_plot(Fx, w_a, 1:150)

# The locally D-optimal exact design of size 10
w_e <- od_KL(Fx, 10, t.max=3)$w.best
od_plot(Fx, w_e, 1:150)