ABSTRACT
For comparative or differential hypothesis, the appropriate tests are the student t test for two groups or variables and ANOVA of various factorial designs for more than two factors and/or groups. The t test is to obtain t whereas the ANOVA is to calculate F. ANOVA can be performed on two variables, too. In this case, the square root of F is exactly t (i.e., √F = t). The t test can also be carried out for multiple comparisons, taking a pair of variables to obtain one t after another. It is, however, a tedious process, particularly when many variables, treatments, or groups are involved.
