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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 />

3 examples<br />

Def<strong>in</strong>ition <strong>and</strong> identification<br />

An application<br />

Approach 2: statistical test of <strong>mediation</strong><br />

Sobel test:<br />

to test the products√<br />

of coefficients of the two paths a <strong>and</strong> b.<br />

z − value = α ∗ β/ α 2 σβ 2 + β2 σα<br />

2<br />

The null hypothesis is a test of α ∗ β = 0.<br />

MacK<strong>in</strong>non <strong>and</strong> Dwyer (1994) <strong>and</strong> MacK<strong>in</strong>non, Warsi, <strong>and</strong> Dwyer (1995)<br />

logo<br />

William Wu<br />

Cancer Biostatistics

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