A mixed-effects multinomial logistic regression model.

@article{Hedeker2003AMM,
  title={A mixed-effects multinomial logistic regression model.},
  author={Donald Hedeker},
  journal={Statistics in medicine},
  year={2003},
  volume={22 9},
  pages={
          1433-46
        }
}
  • D. Hedeker
  • Published 15 May 2003
  • Psychology
  • Statistics in medicine
A mixed-effects multinomial logistic regression model is described for analysis of clustered or longitudinal nominal or ordinal response data. The model is parameterized to allow flexibility in the choice of contrasts used to represent comparisons across the response categories. Estimation is achieved using a maximum marginal likelihood (MML) solution that uses quadrature to numerically integrate over the distribution of random effects. An analysis of a psychiatric data set, in which homeless… 

Figures and Tables from this paper

The Mixed Effects Trend Vector Model
TLDR
This work proposes to use multidimensional unfolding methodology to reduce the dimensionality of the problem, and readily interpretable graphical displays representing change are obtained.
Mixed-Effects Logistic Regression Models for Indirectly Observed Discrete Outcome Variables
  • J. Vermunt
  • Psychology
    Multivariate behavioral research
  • 2005
TLDR
A well-established approach to modeling clustered data introduces random effects in the model of interest and maximum likelihood estimation is feasible by means of an EM algorithm with an E step that makes use of the special structure of the likelihood function.
A note on the estimation of the multinomial logistic model with correlated responses in SAS
Tilburg University Mixed-effects logistic regression models for indirectly observed outcome variables
A well-established approach to modeling clustered data introduces random effects in the model of interest. Mixed-effects logistic regression models can be used to predict discrete outcome variables…
Likelihood-based approach for analysis of longitudinal nominal data using marginalized random effects models
Likelihood-based marginalized models using random effects have become popular for analyzing longitudinal categorical data. These models permit direct interpretation of marginal mean parameters and…
Generalized Linear Mixed Models
Generalized linear models (GLMs); represent a class of regression models for several types of dependent variables where the linear predictor includes only fixed effects. Incorporation of random…
The multinomial logistic regression model
The generalized linear modelling technique of multinomial logistic regression can be used to model unordered categorical response variables. This model can be understood as a simple extension of…
Categorical response data
TLDR
This chapter deals with multilevel models for discrete response variables with more than two categories with the situation where these errors can be assumed to come from a multinomial distribution, which can be seen as either a multivariate extension of the binomial distribution or a restricted version of the multivariate Poisson distribution.
Mixed-effects Hidden Markov Model
In this paper, we develop a method the Mixed-effects Hidden Markov Model (MHMM) for analyzing multiple outcomes in a longitudinal context and for examining the covariates impact on HMM parameters.…
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 68 REFERENCES
A random-effects ordinal regression model for multilevel analysis.
TLDR
A random-effects ordinal regression model is proposed for analysis of clustered or longitudinal ordinal response data and a maximum marginal likelihood (MML) solution is described using Gauss-Hermite quadrature to numerically integrate over the distribution of random effects.
MIXNO: a computer program for mixed-effects nominal logistic regression
MIXNO provides maximum marginal likelihood estimates for mixed-effects nominal logistic regression analysis. These models can be used for analysis of correlated nominal response data, for example,…
A mixed effects model for multivariate ordinal response data including correlated discrete failure times with ordinal responses.
The mixed effects model for binary responses due to Conaway (1990, A Random Effects Model for Binary Data) is extended to accommodate ordinal responses in general and discrete time survival data with…
A mixed effects model for multivariate ordinal response data including correlated discrete failure times with ordinal responses.
TLDR
The mixed effects model for binary responses due to Conaway is extended to accommodate ordinal responses in general and discrete time survival data with ordinals responses in particular, and a Newton-Raphson estimation procedure is feasible without resorting to numerical, approximation-based, or Monte Carlo integration techniques.
Trend in correlated proportions
A random effects probit model is developed for the case in which the same units are sampled repeatedly at each level of an independent variable. Because the observed proportions may be correlated…
Models for longitudinal data: a generalized estimating equation approach.
TLDR
This article discusses extensions of generalized linear models for the analysis of longitudinal data in which heterogeneity in regression parameters is explicitly modelled and uses a generalized estimating equation approach to fit both classes of models for discrete and continuous outcomes.
A mixed-model procedure for analyzing ordered categorical data
A mixed-model procedure is developed for predicting the value of an ordered categorical response from knowledge of various predictor variables. This procedure resembles the best linear unbiased…
Random-effects models for serial observations with binary response.
This paper presents a general mixed model for the analysis of serial dichotomous responses provided by a panel of study participants. Each subject's serial responses are assumed to arise from a…
Regression Models for Discrete Longitudinal Responses
In this paper, we review analytic methods for regression mod- els for longitudinal categorical responses. We focus on both likelihood- based approaches and non-likelihood approaches to analysing…
The Hierarchical Logistic Regression Model for Multilevel Analysis
Abstract A hierarchical logistic regression model is proposed for studying data with group structure and a binary response variable. The group structure is defined by the presence of micro…
...
1
2
3
4
5
...