In: Statistics and Probability
I. When the aim of the randomized controlled trial is to show that one treatment is superior to another, a statistical test is employed and the trial is called a superiority trial. Often a nonsignificant superiority test is wrongly interpreted as proof of no difference between the two treatments. Proving that two treatments are equal in performance is impossible with statistical tools; at most, one can show that they are equivalent. In an equivalence trial, the statistical test aims at showing that two treatments are not too different in characteristics, where "not too different" is defined in a clinical manner. Finally, in a non-inferiority trial, the aim is to show that an experimental treatment is not much worse than a standard treatment.
So this study is example of a Superiority (“Difference”) study.
II. The Null and Alternative Hypothesis are given below:-
Null Hypothesis (H0): incident rate after using cranberry products equals to incident rate after using placebo or control interventions.
Alternative Hypothesis (H1): incident rate after using cranberry products is lesser than incident rate after using placebo or control interventions.