marg.param: Link function of marginal log-linear parameterization
Description
Provides the contrast and marginalization matrices for the marginal parametrization
of a probability vector.
Usage
marg.param(lev, type)
Value
C
Matrix of constrasts (the first sum(lev)-length(r) elements are
referred to univariate logits)
M
Marginalization matrix with elements 0 and 1.
G
Corresponding design matrix for the corresponding log-linear model.
Arguments
lev
Integer vector containing the number of levels of each variable.
type
A character vector with elements "l", "g", "c", or
"r" indicating the type of logit. The meaning is as follows:
"g" for global, "c" for continuation,
"r" for reverse continuation and "l" for local.
Author
Francesco Bartolucci, Antonio Forcina, Giovanni M. Marchetti
Details
See Bartolucci, Colombi and Forcina (2007).
References
Bartolucci, F., Colombi, R. and Forcina, A. (2007). An extended class
of marginal link functions for modelling contingency tables
by equality and inequality constraints. Statist. Sinica 17, 691-711.