Total knee arthroplasty infection (TKAI) is an important surgical outcome and quality indicator. We present a statistical method to analyze the rate of occurrence of TKAIs based upon the binomial distribution. The rationale, process and interpretation are presented to obtaining the exact and cumulative probability of having k infections after n procedures with a predetermined health quality indicator goal. In other words, to find out in a scientific manner whether there are too many infections or not.
Torres-Gómez et al. (2026) studied this question.