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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 />

En kvantitativ forklarende variabel<br />

Model med alder som kvantitativ:<br />

( ) pi<br />

ln<br />

1 − p i<br />

= a + bage i<br />

Her er b øgningen / reduktionen i log-odds per år.<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 />

Hvad er forskellen i log-odds for to piger med alder a 1 og a 2 <br />

svarende til<br />

( ) ( )<br />

p1<br />

p2<br />

ln − ln<br />

1 − p 1 1 − p 2<br />

= a + ba 1 − (a + ba 2 )<br />

= b(a 1 − a 2 )<br />

= log(OR).<br />

OR = exp(b(a 1 − a 2 )) = exp(b) (a 1−a 2 )<br />

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