Classification of Outcomes Among a Family of m Statistical Tests, for m0 of Which the Null Hypothesis Is True
Accept null No discovery Negative result | Reject null Declare discovery Positive result | Total | |
|---|---|---|---|
| True null hypothesis | U | V | m0 |
| False null hypothesis | T | S | m1 |
| Total | W | R | m |
[i] Column headings give three alternative phrases with the same meaning. The letters R through W represent the number of test that fall into each category. For example, R is the number of tests that are declared significant, rejecting the null hypothesis. The V tests that reject the null when it is true commit type I errors. The T tests that accept the null when it is false make Type II errors.