| define_x_j {spdesign} | R Documentation |
Define x_j
Description
Define x_j to use for the analytic derivatives of the variance-covariance matrix. x_j is derived based on the provided utility functions and design candidate using base model.matrix to automatically handle alternative specific attributes and interaction terms
Usage
define_x_j(utility, design_candidate)
Arguments
utility |
A named list of utility functions. See the examples and the vignette for examples of how to define these correctly for different types of experimental designs. |
design_candidate |
The current design candidate under consideration |
Details
We can extract the attribute names for each utility function to allow us
to place the correct restrictions on the design candidate. Specifically, we
restrict all levels of unavailable attributes to zero for alternatives where
they do not feature. This is to ensure that we do not give weight when
deriving the variance-covariance matrix using derive_vcov.
Furthermore, the Xs are "sorted" using the order of the candidate set, which
ensures that when we calculate the sum of the probabilities times X, the
correct columns are added together. See derive_vcov.
Value
The list x_j