1995
DOI: 10.1136/bmj.311.7005.619
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Probability of adverse events that have not yet occurred: a statistical reminder

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) experien… Show more

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Cited by 296 publications
(193 citation statements)
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“…This simple rule to quickly calculate the upper limit of a 95 % confidence interval states that if a certain event did not occur in a sample of n subjects, the upper limit of the 95 % confidence interval surrounding this data is equal to 3/n. When n is greater than 30, this is a good approximation of the upper limit of the 95 % confidence interval [4]. For example, in these data on iocane powder, the approximate upper limit of risk of a major outcome with 95 % certainty is 3/32=9.4 %, very close to the calculated number above.…”
supporting
confidence: 52%
“…This simple rule to quickly calculate the upper limit of a 95 % confidence interval states that if a certain event did not occur in a sample of n subjects, the upper limit of the 95 % confidence interval surrounding this data is equal to 3/n. When n is greater than 30, this is a good approximation of the upper limit of the 95 % confidence interval [4]. For example, in these data on iocane powder, the approximate upper limit of risk of a major outcome with 95 % certainty is 3/32=9.4 %, very close to the calculated number above.…”
supporting
confidence: 52%
“…10 With 89 subjects randomized to the patch, we can conclude with 95% confidence that the true adverse event rate is <3.3% for the study group. We did not expect the unintentional randomization of more premature infants to the study group.…”
Section: Patients and Cathetersmentioning
confidence: 99%
“…If no repeated reporting of same cases has taken place within this population, only 1 case with a life threatening situation has occurred, with no mortality or permanent disability. A simple calculation of the upper limit of 95% confidence interval (3/n) for occurrence of accident resulting in death or handicap gives 1/1000 with the current experience (Eypasch et al 1995). It must be noted, however, that a major proportion of the cases have been reported in abstracts based on audit or regional database data which may not include all the necessary data for exclusion of near miss situations or even major accidents.…”
Section: Sedation and Dizzinessmentioning
confidence: 99%