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Kaplan–Meier & log-rank

§5.1
Rev 4.6 · reviewed Feb 2026
Kaplan–Meier & log-rank
For time-to-event outcomes with censoring. One line per patient: time then status (1 = event, 0 = censored), or add “+” for censored. Full Cox adjustment lives in Consult.
Source formula: Kaplan EL, Meier P. J Am Stat Assoc 1958;53:457–81.
Group A — time & status
Group B — time & status
Table. Events observed vs expected
GroupnObservedExpected
A853.6
B856.4
* Median survival — A: 22, B: 33. Kaplan EL, Meier P. J Am Stat Assoc 1958;53:457–81.
† Log-rank χ² on 1 df. Mantel N. Cancer Chemother Rep 1966;50:163–70.
‡ HR estimated from observed/expected. Tierney JF, et al. Trials 2007;8:16 (log-rank HR method).
Log-rank χ² (1 df)
0.91
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p
0.340
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Hazard ratio A vs B (95% CI)*
1.76 (0.49–6.40)
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No significant difference in survival (p = 0.340). The hazard ratio of 1.76 is an approximation from the log-rank statistic; for an adjusted HR with covariates, use a Cox model — plan it in Consult.
Understand what this is measuring