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Inference of nested variance components in a longitudinal myopia intervention trial
Chuhsing Kate Hsiao1, Miao-Yu Tsai, Ho-Min Chen
1Division of Biostatistics, Institute of Epidemiology, National Taiwan University, Taipei 100, Taiwan. ckhsiao@ha.mc.ntu.edu.tw
Statistics in Medicine
|October 6, 2005
Summary
This study analyzed myopia intervention data, finding atropine effective in reducing progression. Proper statistical model selection is crucial to avoid misinterpreting correlations in repeated eye measurements.
Area of Science:
- Ophthalmology
- Biostatistics
- Clinical Trials
Background:
- Myopia intervention trials generate complex nested repeated measurements.
- Correlations can arise from longitudinal observations and bilateral eye data.
- Accurate statistical modeling is essential for valid treatment effect estimation.
Purpose of the Study:
- To compare statistical models for analyzing nested repeated measurements in myopia intervention trials.
- To investigate the sources of correlation in bilateral eye data and longitudinal observations.
- To determine the best model for illustrating myopia intervention trial data.
Main Methods:
- Proposed three statistical models with different covariance structures for nested repeated measurements.
- Utilized commercial statistical software for model estimation and implemented Schwarz criterion for model selection.
- Conducted simulation studies to evaluate model performance and reanalyzed myopia intervention trial data.
Main Results:
- Atropine demonstrated effectiveness in reducing myopia progression rates.
- Myopia progression rates were found to be homogeneous across subjects.
- The statistical model with independent random effects for each eye provided the best fit.
Conclusions:
- Model selection is a critical step prior to making inferences from myopia intervention trial data.
- Incorrect model selection can lead to misattribution of correlation mechanisms.
- The findings emphasize the importance of accounting for all variance components accurately.