Research Workbench

Two-group log-rank comparison

Compare right-censored event times using the pooled-risk-set log-rank score.

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Use two nonempty groups, positive times and binary event indicators. All enter at time zero; no weights or delayed entry. Tied event counts use the hypergeometric variance.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Group 1 observed minus expected
-0.6
Score variance
0.74
Chi-square
0.48648649
Asymptotic p
0.4854988

How to interpret the output

The ordinary log-rank statistic is (observed−expected)²/variance with one chi-square degree of freedom. It is sensitive to hazard differences but does not estimate a hazard ratio. Crossing curves, dependent censoring or few events can undermine its usefulness and asymptotic approximation.

Method reference

Source checked 2026-11-06. Read the reproducible calculator validation report.