Two conditions and two restrictions are necessary for a characteristic to be a confounding factor :
A confounding factor:
These four criteria must be verified whenever a characteristic is suspected of being a confounding factor. In the previous example the confounding factor (vaccination) is associated with both exposure (gender) and outcome (disease). Vaccination is not in any biological pathway between gender and disease and unvaccinated children have a higher risk of disease in both sexes. The two conditions and restrictions are met. The crude risk ratio was artificially increased by the unequal distribution of vaccinated among boys and girls and the fact that vaccination is a protective factor against disease.
To numerically identify a confounding factor the measure of the crude effect is compared to a summary measure of the effect. This is a weighted measure taking into account the stratum specific value of the effect (i.e. the RR in each stratum), attributes a weight to each (based on the size of the sample). If the weighted measure of effect differs from the crude measure, then the characteristic on which we have stratified our analysis (vaccination in this example) may be a confounding factor.
It must be considered, however, that there is no statistical method to compare a crude from a weighted measure of effect (a good rule of thumb: confounding may be considered if the difference between the two measures is more than 15-20%).
1. McNamee R. Confounding and confounders. Occupational and Environmental Medicine 2003 Mar 1;60(3):227-34.