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Appendix 6 - The Mantel-Haenszel method for calculating pooled odds ratios

Penny Webb
Affiliation:
Queensland Institute of Medical Research
Chris Bain
Affiliation:
University of Queensland
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Summary

When you do a stratified analysis to control for confounding you end up with a number of different odds ratios – one for each stratum. If these are all fairly similar, the next stage is to combine them into a single adjusted odds ratio that summarises the effect of the exposure adjusted for the confounder. Note that it is practical to do this only when you have a fairly small number of strata; once you need to adjust for more than one or two confounders it is better to use multivariable modelling techniques.

An adjusted odds ratio is essentially a weighted average of the stratum specific odds ratios. We calculate a weighted average rather than a straight average so that strata with more people (and therefore greater precision) have a bigger influence on the final result than small strata. To calculate a weighted average, each individual value is multiplied by its weight and these new values are then added up and divided by the sum of the weights. Various sets of weights can be used for pooling odds ratios, but those proposed by Mantel and Haenszel (1959) are commonly used.

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Essential Epidemiology
An Introduction for Students and Health Professionals
, pp. 413 - 415
Publisher: Cambridge University Press
Print publication year: 2010

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References

Mantel, N. and Haenszel, W. (1959). Statistical aspects of the analysis of data from retrospective studies of disease. Journal of the National Cancer Institute, 22: 719–748.Google Scholar

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