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LectureNov24

# LectureNov24 - BME 423 Lecture Notes Nov 24 2008 Survival...

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1 Survival Analysis BME 423 Lecture Notes - Nov. 24, 2008 III. Survival Curve – Confidence Interval A. Standard Error B. CI Curves IV. Comparing Two Survival Curves A. Bone Marrow Transplant Illustration B. Autologous vs Allogenic Survival Curves C. Log Rank Test Glantz Chapt. 11, pp 413-436 Probability of Surviving Longer than time t Survival Function

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2 i 1 2 3 4 5 6 i F i i i i n d F n = 1 0 ˆ ˆ ( ) ( ) ˆ ( ) 1 i i i S t F S t S t = = * *i.e., known to be alive x = x = Kaplan-Meier Product-Limit Estimate of the Survival Curve Kaplan-Meier Curve Median Survival Time 1 ˆ ( ) , m such that j m i i i j i i n d S t t t n = =
3 ˆ ˆ ( ) ( ) ˆ ˆ ( ) ( ) ( ) j j j j j S t S t S t z s S t S t z s α α < < + Need standard error for ˆ ( ) j S t ˆ ( ) j S t ( ) j S t is an estimate of III. Survival Curve – Confidence Interval A. Standard Error B. CI Curves ( ) ˆ ( ) all ˆ ( ) j i j i j S t t t i i i d s S t n n d = ( ) ( ) ( ) ˆ ( 7) ˆ ( 7) . . 7 1 1 2 .600 10 10 1 9 9 1 8 8 2 .600 0.011 0.014 0.042 .155 S t S t e g t s s = = = = + + = + + = ˆ ˆ ( ) ( ) ˆ ˆ ( ) ( ) ( ) j j j j j S t S t S t z s S t S t z s α α < < +

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4 95% CI for Median Survival Time
5 NEJM vol. 329, 1993

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LectureNov24 - BME 423 Lecture Notes Nov 24 2008 Survival...

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