Multivariate logistic models

By B. Qaqish, A. Ivanova. 2006

194 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/722f314b6b61e7e83023ec9e1804642644376081

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In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

Sequences of regressions and their independences (2011, methodology): “For a vector variable of categorical responses only, the multivariate logistic regression of Glonek and McCullagh (1995) reduces to separate main eﬀect logistic regressions for each component of the response vector provided that certain higher-order interactions vanish; see Marchetti and Lupparelli…”
Analysis of longitudinal multiple‐source binary data using generalized estimating equations (2004, unknown): “Note that, even if each binary response requires its own set of regression parameters, performing a joint analysis still results in a modest gain in efficiency unlike in the continuous data case (Glonek and McCullagh, 1995).”
A Multivariate Extension of the Dynamic Logit Model for Longitudinal Data Based on a Latent Markov Heterogeneity Structure (2009, methodology): “This model was extended to the case of bivariate binary longitudinal data by Ten Have and Morabia (1999), who relied on a bivariate logistic transform (Glonek and McCullagh 1995) for this extension.”
Multivariate Statistical Analysis (2011, methodology): “include among others linear, logistic and probit regressions as special cases; see McCullagh and Nelder (1989), Glonek and McCullagh (1995). Even in linear models, estimation may become difficult when some of the explanatory variables are almost linear functions of others, that is if there is a prob”
Chain graph models of multivariate regression type for categorical data (2009, background): “4, and [13] can be used to define all the independence constraints.”
An extended class of marginal link functions for modelling contingency tables by equality and inequality constraints (2007, methodology): “This approach was generalized by the multivariate logis- tic transform of Glonek and McCullagh (1995), who proposed a composite link function whose elements are the highest order interactions that can be defined within each possible marginal distribution of the response variables; they also allowed…”