Generalized Linear Mixed-Effects Models in R

Abstract

The Nonlinear and Linear Mixed-Effects (NLME) package for the open source statistical software system R provides an effective and efficient way to analyze longitudinal data collected from nested groups of subjects when the response of interest is on a continuous scale. It does not provide methods for analyzing binary, multinomial, or ordinal responses, where a general linear mixed-effects model (GLMM) is required. We enhanced an existing R implementation for estimating a GLMM, which can estimate an approximate model using a crude numerical procedure. The R code was rewritten to take advantage of the best available numerical methods and the latest theoretical developments. Using simulated data sets, we demonstrate that the enhanced code is much faster and numerically robust. We propose an approach for modeling ordinal and multinomial data, the theory of which is less well developed than that of binomial data. The proposed approach is demonstrated using simulated and real data sets. The results illustrate the limits of the approximate procedure used in Phase I, which motivates the use of a more refined numerical method in Phase II.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 2003
Accession Number
ADA413561

Entities

People

  • Ben C. Juricek

Tags

Communities of Interest

  • Biomedical

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Binomials
  • Computational Science
  • Computations
  • Computer Programming
  • Data Analysis
  • Data Sets
  • Language
  • Linear Algebra
  • New York
  • Probability
  • Random Variables
  • Simulations
  • Statistics
  • Students
  • Surveys

Fields of Study

  • Mathematics

Readers

  • Computational Fluid Dynamics (CFD)
  • Regression Analysis.