LectureNov24

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

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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 ii i i nd F n = 1 0 ˆˆ () ( ) ˆ () 1 i St F St =⋅ = * *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 s u c h t h a t j m ij i i t t n = ⎛⎞ =≤ ⎜⎟ ⎝⎠
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3 ˆˆ () () () j j jj j St zs αα −< < + Need standard error for ˆ j ˆ j j is an estimate of III. Survival Curve – Confidence Interval A. Standard Error B. CI Curves ˆ all ˆ j ij i j tt ii i d sS t nn d = ˆ (7 ) ˆ ) .. 7 11 2 .600 10 10 1 9 9 1 8 8 2 .600 0.011 0.014 0.042 .155 eg t s s = = = =+ + −− + = j < +
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4 95% CI for Median Survival Time
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5 NEJM vol. 329, 1993 Treatment of Acute Lymphocytic Leukemia at St. Jude Children’s Research Hospital
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LectureNov24 - BME 423 Lecture Notes - Nov. 24, 2008...

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