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Stratification for confounding--part 1: the Mantel-Haenszel formula
Giovanni Tripepi1, Kitty J Jager, Friedo W Dekker
1CNR-IBIM, Clinical Epidemiology and Physiopathology of Renal Diseases and Hypertension of Reggio Calabria, Reggio Calabria, Italy. gtripepi@ibim.cnr.it
Stratification controls confounding by creating subgroups. The Mantel-Haenszel formula combines stratum-specific relative risks (RR) or odds ratios (OR) for unconfounded effect estimates in observational studies.
Area of Science:
- Epidemiology
- Biostatistics
Background:
- Confounding is a major challenge in observational studies, potentially biasing effect estimates.
- Stratification is a common method to control for confounding variables.
Purpose of the Study:
- To explain the application of the Mantel-Haenszel formula for calculating unconfounded effect estimates.
- To highlight the limitations of the Mantel-Haenszel formula in stratified analysis.
Main Methods:
- The Mantel-Haenszel formula is applied to combine stratum-specific relative risks (RR) or odds ratios (OR).
- Stratum-specific estimates are calculated within subgroups defined by the confounding variable.
Main Results:
- The Mantel-Haenszel formula provides an overall, unconfounded effect estimate.
- Limitations include challenges with multiple confounders and potential for residual confounding when continuous variables are categorized.
Conclusions:
- Stratification and the Mantel-Haenszel formula are valuable tools for controlling confounding in epidemiological research.
- Careful consideration of sample size and variable categorization is necessary to minimize residual confounding.
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