Type of variable X | Summary statistics | Standardized difference | Statistical test for unmatched data | Statistical test for matched data |
---|---|---|---|---|
Symmetric continuous variable | \( \overline{X}\pm s \) | \( \frac{{\overline{X}}_2-{\overline{X}}_0}{\sqrt{\left({s}_2^2+{s}_0^2\right)/2}} \) | Independent samples t-test | Paired samples t-test |
Non-symmetric continuous variable | m [q1 − q3] | The standardized difference defined above for lnX | Wilcoxon’s rank sum test | Wilcoxon’s signed rank test |
Count variable | c | Standardized difference for symmetric continuous variable | Independent samples t-test | Paired samples t-test |
Binary variable | \( f\ \left(\hat{p}\%\right) \) | \( \frac{\hat{p_2}-\hat{p_0}}{\sqrt{\left(\hat{p_2}\left(1-\hat{p_2}\right)+\hat{p_0}\left(1-\hat{p_0}\right)\right)/2}} \) | Fisher’s exact test | McNemar’s test |