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Table 1 Summary of statistical methods based on the types of variables

From: Active clearance of chest tubes is associated with reduced postoperative complications and costs after cardiac surgery: a propensity matched analysis

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