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A Practical Guide to Mixed-Effects Models for Clustered Data in Pediatric Research
1Baylor College of Medicine, Department of Pediatrics, Section of Neonatology, Houston, Texas.
Insights
Mixed-effects models are essential for analyzing clustered data in pediatric research, accounting for correlations within groups like patients or hospitals. Ignoring clustering can lead to biased results and incorrect conclusions in statistical analysis.
Area of Science:
- Pediatric research
- Biostatistics
- Clinical research methodology
Background:
- Clustered data, where observations are grouped within higher-level units (e.g., patients within hospitals), are common in pediatric research.
- Standard statistical methods assuming independence yield invalid standard errors and misleading inferences when applied to correlated clustered data.
- Mixed-effects models offer a robust solution by incorporating random effects to quantify and account for between-cluster variation.
Purpose of the Study:
- To introduce mixed-effects models as a practical analytical tool for clinician-researchers dealing with clustered data.
- To demonstrate the application and interpretation of linear mixed-effects models (LMM) for continuous outcomes and generalized linear mixed models (GLMM) for binary outcomes.
- To highlight the potential biases introduced by naive analyses that ignore data clustering.
Main Methods:
- Illustrative examples using simulated neonatal intensive care unit (NICU) data.
- Specification and interpretation of LMM and GLMM using the R statistical software.
- Comparison of mixed-effects model results against naive analyses that disregard clustering.
Main Results:
- Mixed-effects models effectively account for within-cluster correlation, providing valid statistical inference.
- Naive analyses ignoring clustering can lead to biased standard errors and incorrect conclusions.
- The direction and magnitude of bias from ignoring clustering depend on the specific data structure.
Conclusions:
- Mixed-effects models are a crucial tool for accurate analysis of clustered data in pediatric research.
- Clinician-researchers should utilize mixed-effects models to avoid misleading conclusions from correlated data.
- Proper reporting of clustered data analyses is essential for scientific transparency and reproducibility.
Abstract:
Clustered data, in which observations are grouped within higher-level units, arise frequently in pediatric research. Common examples include repeated measures within patients and patients nested within hospitals. Observations within the same cluster tend to be correlated, and standard analytic methods that assume independence produce invalid SEs and misleading inference. Mixed-effects models account for this correlation by incorporating random effects that quantify variation between clusters. This article introduces mixed-effects models as a practical tool for clinician-researchers analyzing clustered data. Two examples using simulated neonatal intensive care data illustrate a linear mixed-effects model for a continuous outcome and a generalized linear mixed model for a binary outcome. Each example demonstrates model specification and interpretation using R, compares results with a naive analysis that ignores clustering, and illustrates how ignoring clustering can bias conclusions in opposite directions depending on the data structure. Supplemental material includes the complete R code, simulated data sets, output interpretation, and a guide for reporting clustered data analyses in manuscripts.
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