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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 />

An example<br />

ˆ Age may confound the positive relationship between annual<br />

<strong>in</strong>come <strong>and</strong> cancer <strong>in</strong>cidence <strong>in</strong> the US.<br />

1 Older <strong>in</strong>dividuals are also more likely to get cancer.<br />

2 Older <strong>in</strong>dividuals are likely to earn more money than younger<br />

ones who have not spent as much time <strong>in</strong> the work force.<br />

3 Income does not cause age, which then causes cancer.<br />

logo<br />

William Wu<br />

Cancer Biostatistics

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