An image of two separated curves from Mayo's book SIST |
Conversely, in a noninferiority trial, your null hypothesis is not that there is no difference between the groups as it is in a superiority trial, but rather it is that there is a difference bigger than delta (the pre-specified margin of noninferiority. Rejection of the null hypothesis a leads you to conclude that there is no difference bigger than delta, and you then conclude noninferiority. If you are comparing a new antibiotic to vancomycin, and you want to be able to conclude noninferiority, you may intentionally or subconsciously dose vancomycin at the lower end of the therapeutic range, or shorten the course of therapy. Doing this increases the chances that you will reject the null hypothesis and conclude that there is no difference greater than delta in favor of vancomycin and that your new drug is noninferior. However, this increases your type 1 error rate - the rate at which you falsely conclude noninferiority.