 Techniques have been developed to prevent the inflation of false positive rates and non-coverage rates that occur with multiple statistical tests.If "m" independent comparisons are performed, the "family-wise error rate" (FWER), is given by

Hence, unless the tests are perfectly positively dependent (i.e., identical), formula_2 increases as the number of comparisons increases.If we do not assume that the comparisons are independent, then we can still say