Probability of adverse events that have not yet occurred: a statistical reminder

BMJ. 1995 Sep 2;311(7005):619-20. doi: 10.1136/bmj.311.7005.619.

Abstract

The probability of adverse and undesirable events during and after operations that have not yet occurred in a finite number of patients (n) can be estimated with Hanley's simple formula, which gives the upper limit of the 95% confidence interval of the probability of such an event: upper limit of 95% confidence interval = maximum risk = 3/n (for n > 30). Doctors and surgeons should keep this simple rule in mind when complication rates of zero are reported in the literature and when they have not (yet) experienced a disastrous complication in a procedure.

MeSH terms

  • Confidence Intervals
  • Humans
  • Intraoperative Complications*
  • Probability*
  • Risk