Sample size determination for the log-rank test of non-inferiority (annual survival probabilities)

Brief description

This web application is an implementation of sample size determination method for the log-rank test of non-inferiority (Jung & Chow, 2012), assuming the proportional hazards assumption holds. This app is implemented in JavaScript, and it does not collect any information from user input.

Survival time, Accural time, Follow-up time: You should unify time unit (year or month).

Allcation ratio: When the ratio, $r \gt 1$, sample size of test group is larger than of standard group ($n_{\mathrm{test}} = r n_{\mathrm{std}}$). For instance, when $r = 2$, $n_{\mathrm{test}} = 2 n_{\mathrm{std}}$.

Non-inferiority margin: $\Delta_0$ is a hazard ratio for null hypothesis. You may input $HR \lt \Delta_0$.

Of course, only one-sided test is supported.

Application

Inputs

Results

Conditions

References

  1. Jung SH, Chow SC. On sample size calculation for comparing survival curves under general hypothesis testing. Journal of Biopharmaceutical Statistics 2012;22(3):485–495. [Web Site]

Update history

  • 2019/7/31 Fixed: almost exact sample sizes according to the allocation ratio can be calculated (Thanks to Dr. Masayuki Yamada)
  • 2017/12/1 Added: English translation
  • 2015/5/27 Added: test release

To cite this page

  • Nagashima K. A sample size determination tool for the log-rank test of non-inferiority [Internet]. 2015 May 27 [cited 20XX YYY ZZ]; Available from: https://nshi.jp/en/js/twosurvyrni/.