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Logistisk regression

Logistisk regression

Logistisk regression

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u n i v e r s i t y o f c o p e n h a g e n<br />

d e p a r t m e n t o f b i o s t a t i s t i c s<br />

Den logistiske <strong>regression</strong>smodel på odds-skala<br />

Modellen er lineær på log-odds-skala:<br />

( ) pi<br />

ln<br />

1 − p i<br />

= a + b 1 mand i + b 2 ryger i + b 3 alder i + b 4 log 2 (SBP i )<br />

og derfor multiplikativ på odds-skala:<br />

p i<br />

1 − p i<br />

= exp(a + b 1 mand i + b 2 ryger i + b 3 alder i + b 4 log 2 (SBP i ))<br />

= exp(a) exp(b 1 mand i ) exp(b 2 ryger i ) exp(b 3 alder i ) exp(b 4 log 2 (SBP i ))<br />

= exp(a) × OR mandi<br />

mand<br />

× ORryger i<br />

rygning × ORalderi alder<br />

× OR log 2 (SBPi)<br />

SBP<br />

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