Cox regression IV. Competing risks.
Cox regression IV. Competing risks.
Cox regression IV. Competing risks.
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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 nd e p a r t m e n t o f b i o s t a t i s t i c sMen 1-KM er et estimat for den kumulative incidens i enpopulation, hvor patienterne ikke kan dø!Det generelle udtryk for den kumulative incidens erP 1 (T ≤ t i ) =i∑P 1 (T ≤ t j |T > t j−1 ) · S(t j−1 ).j=1Vi estimerer i stedet S ved KM baseret på både recidiv (R) ogdød (D) (i.e. overall survival):10 9 8 7 6 5 4 3 2 11(R) 0 1(R) 1(D) 0 1(R) 1(D) 1(D) 1(R) 00 1 2 3 4 5 6 7 8 9 1010 +10 · 1 + 18 · 91+105 · 9 7 61+10 8 72 · 9 7 6 4 3 210 8 7 5 4 30 + 0.1 + 0.1125 + 0.135 + 0.135= 0 0.1 0.2125 0.3475 0.4825✲33 / 47