Absence of confounding does not correspond to collapsibility of the rate ratio or rate difference.

Abstract excerpt

Miettinen and Cook (Am J Epidemiol 1981; 114:593-603) showed that absence of confounding does not imply collapsibility of the odds ratio; that is, the crude odds ratio need not equal a common stratum-specific odds ratio even if the exposed and unexposed study groups have the same distribution of risk factors. Less well known is that absence of confounding does not correspond to collapsibility of the person-time...

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