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Random-effects models for multivariate repeated measures.

S Fieuws1, Geert Verbeke, G Molenberghs

  • 1Biostatistical Centre, Katholieke Universiteit Leuven, Leuven, Belgium.

Statistical Methods in Medical Research
|July 28, 2007
PubMed
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Multivariate mixed models analyze multiple outcomes but face computational issues with many variables. A pairwise modeling approach offers a solution for analyzing complex longitudinal data, improving statistical efficiency.

Area of Science:

  • Statistics
  • Biostatistics
  • Longitudinal Data Analysis

Background:

  • Mixed models are standard for single repeated outcomes.
  • Multivariate mixed models extend this to multiple outcomes but face computational challenges with high dimensionality.
  • Existing methods struggle with increasing numbers of correlated outcomes.

Purpose of the Study:

  • To introduce and evaluate a pairwise modeling approach for multivariate mixed models.
  • To address the computational limitations of traditional multivariate mixed models.
  • To demonstrate the application of pairwise modeling for high-dimensional longitudinal data.

Main Methods:

  • Fitting all possible bivariate mixed models.
  • Utilizing pseudo-likelihood arguments for inference.

Related Experiment Videos

  • Applying the pairwise approach to multivariate linear mixed models (hearing thresholds) and generalized linear mixed models (psycho-cognitive functioning).
  • Main Results:

    • The pairwise approach effectively circumvents dimensional limitations in multivariate mixed models.
    • Demonstrated performance in analyzing 22-variate longitudinal hearing threshold data.
    • Successfully applied to analyze repeated measurements of seven aspects of psycho-cognitive functioning.

    Conclusions:

    • Pairwise modeling provides a computationally feasible alternative for high-dimensional multivariate mixed models.
    • This approach enhances the analysis of complex longitudinal data with multiple correlated outcomes.
    • Offers a practical solution for statistical inference in previously intractable models.