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. 2018 Oct 11;14(10):e1006141. doi: 10.1371/journal.pcbi.1006141

Table 2. Simpson's paradox (synthetic data).

Two treatments (A and B) were applied in two groups (1 and 2) of patients. Treatment A seems to be more successful in each of the groups viewed separately (100 > 87.5 and 66.7 > 50). However, evaluated for the combined group of patients, treatment B appears to be more successful (75 < 80).

Treatment A Treatment B
Success Total Percentage Success Total Percentage
Group 1 15 15 100% 105 120 87.5%
Group 2 30 45 66.7% 15 30 50%
Combined 45 60 75% 120 150 80%