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Confounding, interaction, and mediation in multivariable/multivariate ...

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Mediation<br />

<strong>Confound<strong>in</strong>g</strong><br />

Interaction<br />

Def<strong>in</strong>ition <strong>and</strong> determ<strong>in</strong>ation<br />

Methods for confound<strong>in</strong>g effect<br />

Unobserved confound<strong>in</strong>g<br />

Difference from <strong>mediation</strong><br />

How to pick potential confounders<br />

statistically<br />

ˆ When you get to do<strong>in</strong>g <strong>multivariable</strong> logistic regression, for example, one rule of<br />

thumb is that if the odds ratio changes by 10% or more then this is reason to<br />

<strong>in</strong>clude the potential confounder <strong>in</strong> your multi-variable model. We don’t tend to<br />

look at just whether it is statistically significant, but <strong>in</strong>stead, how much does it<br />

change with this effect. This change is what we want to measure. If it changes<br />

the effect by 10% or more, then we consider it a confounder <strong>and</strong> leave it <strong>in</strong> the<br />

model.<br />

ˆ P values will not tell confound<strong>in</strong>g effect. Rather, only, change <strong>in</strong> β between with<br />

adjustment <strong>and</strong> w/o adjustment can tell if the confound<strong>in</strong>g is work<strong>in</strong>g.<br />

logo<br />

William Wu<br />

Cancer Biostatistics

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