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Interaction or Effect Modification

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Faculty Development Program<br />

Clinical Epidemiology and Clinical Research<br />

A Evans<br />

<strong>Interaction</strong> <strong>or</strong> <strong>Effect</strong> <strong>Modification</strong><br />

Clinical definition:<br />

Relationship between exposure and disease is different among different subgroups.<br />

Epidemiologic definition:<br />

Change in magnitude of an effect measure acc<strong>or</strong>ding to some third variable<br />

(after exposure and disease).<br />

Example: (coh<strong>or</strong>t study)<br />

Total Population: Heart disease No heart disease<br />

Exposed 30 50<br />

Unexposed 100 500<br />

Crude RR = 2.25; Crude OR = 3.0<br />

Males: Heart disease No heart disease<br />

Exposed 10 10<br />

Unexposed 5 100<br />

RR = 10.5; OR = 20<br />

Females: Heart disease No heart disease<br />

Exposed 20 40<br />

Unexposed 95 400<br />

RR = 1.7; OR = 2.1<br />

Confounding vs. <strong>Interaction</strong> (Rothman)<br />

1. Confounding is a bias that you hope to prevent <strong>or</strong> control.<br />

2. <strong>Interaction</strong> is just a m<strong>or</strong>e detailed description of the effect itself<br />

(in all its rich diversity).<br />

3. Confounding is something to avoid.<br />

4. <strong>Interaction</strong> is something to rep<strong>or</strong>t.<br />

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<strong>Interaction</strong>s and Clinical Trials<br />

• Extreme caution! Most clinical trials are analyzed with logistic regression.<br />

• Assess f<strong>or</strong> interaction by asking yourself: Is the risk reduction different f<strong>or</strong> different<br />

clinical subgroups (eg, different baseline risk)?<br />

• Do not believe the logistic model’s assessment of interaction.<br />

• F<strong>or</strong> imp<strong>or</strong>tant clinical subgroups, if the logistic model says there is no interaction,<br />

then you have good evidence to believe the exact opposite—that is, there is variation<br />

in treatment effectiveness!<br />

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