Table 1.
Goal of Analysis | Is there a difference between the variables in two different groups? (H0: There is no difference between the means, medians, or distributions in the populations.) | Is there an association or relationship between two variables in the population? (H0: There is no association between the variables.) | ||
---|---|---|---|---|
Type of Data | Continuous | Categorical | ||
Parametric | Unpaired Student’s t-test† | Paired Student’s t-test† | Pearson correlation coefficient | None. |
Nonparametric | Wilcoxon rank- sum test*†‡ | Wilcoxon signed- rank test†‡ | Spearman’s correlation coefficient ‡ | Pearson’s Chi Square Test of Independence & Fisher’s exact test |
The Wilcoxon rank sum test is also known as the Mann-Whitney U test.
The unpaired Student’s t-test and the Wilcoxon rank-sum test involve unmatched pairs of data. In contrast, as the name suggests, the paired Student’s t-test and its counterpart, Wilcoxon signed-rank test, involve matched pairs.
These non-parametric tests may involve either ordinal or continuous data.