wDefficiency computes the weighted D-, D_s or D_A-efficiency measure for a design with respect to a reference design.
wDefficiency(des, ref, mods, modw, A = NULL, parNames = NULL)a design.
a design, the reference.
a list of models.
a vector of weights.
for
D-efficiency: NULL
D_s-efficiency: a vector of names or indices, the subset of parameters of interest.
D_A-efficiency: either
directly: a matrix without row names.
indirectly: a matrix with row names corresponding to the parameters.
a vector of names or indices, the subset of parameters to use. Defaults to the parameters for which the Fisher information is available.
wDefficiency returns a single numeric.
Indices supplied to argument A correspond to the subset of parameters defined by argument parNames.
Weighted D efficiency is defined as $$\left(\frac{\exp\int_{\mathcal{B}}\log\left|M(\xi,\bar{\boldsymbol{\theta}})\right|\mathrm{d}B}{\exp\int_{\mathcal{B}}\log\left|M(\xi^{*},\bar{\boldsymbol{\theta}})\right|\mathrm{d}B}\right)^{1/n}$$ and weighted D_A efficiency as $$\left(\frac{\exp\int_{\mathcal{B}}\log\left|A^{T}M(\xi,\bar{\boldsymbol{\theta}})^{-1}A\right|^{-1}\mathrm{d}B}{\exp\int_{\mathcal{B}}\log\left|A^{T}M(\xi^{*},\bar{\boldsymbol{\theta}})^{-1}A\right|^{-1}\mathrm{d}B}\right)^{1/s}$$