A Random-Effects Ordinal Regression Model for Multilevel Analysis
Copyright policy )A Random-Effects Ordinal Regression Model for Multilevel Analysis
A random-effects ordinal regression model is proposed for analysis of clustered or longitudinal ordinal response data. This model is developed for both the probit and logistic response functions. The threshold concept is used, in which it is assumed that the observed ordered category is determined by the value of a latent unobservable continuous response that follows a linear regression model incorporating random effects. A maximum marginal likelihood (MML) solution is described using Gauss-Hermite quadrature to numerically integrate over the distribution of random effects. An analysis of a dataset where students are clustered or nested within classrooms is used to illustrate features of random-effects analysis of clustered ordinal data, while an analysis of a longitudinal dataset where psychiatric patients are repeatedly rated as to their severity is used to illustrate features of the random-effects approach for longitudinal ordinal data.
- University of Illinois at Chicago United States
Adolescent, longitudinal ordinal data, Smoking Prevention, Applications of statistics to biology and medical sciences; meta analysis, Random Allocation, repeated observations, threshold, Humans, Longitudinal Studies, random- effects ordinal regression model, Child, Health Education, Probability, Models, Statistical, Linear regression; mixed models, logistic regression, Probabilistic methods, stochastic differential equations, maximum marginal likelihood, probit regression, Gauss-Hermite quadrature, clustered ordinal data, Regression Analysis, Smoking Cessation, Curriculum, ordinal response data, Mathematics
Adolescent, longitudinal ordinal data, Smoking Prevention, Applications of statistics to biology and medical sciences; meta analysis, Random Allocation, repeated observations, threshold, Humans, Longitudinal Studies, random- effects ordinal regression model, Child, Health Education, Probability, Models, Statistical, Linear regression; mixed models, logistic regression, Probabilistic methods, stochastic differential equations, maximum marginal likelihood, probit regression, Gauss-Hermite quadrature, clustered ordinal data, Regression Analysis, Smoking Cessation, Curriculum, ordinal response data, Mathematics
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