Skip to main content

Advertisement

Table 2 Scenarios studied in this manuscript: Cell frequencies, marginals, proportion observed, bias and prevalence index

From: Observer agreement paradoxes in 2x2 tables: comparison of agreement measures

Scenario Type of table x11 x12 x21 x22 f1 f2 g1 g2 PO BI PI
Paradox 1:            
1 Symmetrical balance 40 9 6 45 49 51 46 54 .85 .03 -.05
2 Symmetrical imbalance 80 10 5 5 90 10 85 15 .85 .05 .75
3 Perfect symmetrical imbalance 90 5 5 0 95 5 95 5 .90 0 .90
Paradox 2: P O set at 0.60            
4 Symmetrical imbalance 45 15 25 15 60 40 70 30 .60 -.10 .30
5 Asymmetrical imbalance 25 35 5 35 60 40 30 70 .60 .30 .10
6 Perfect symmetrical imbalance 40 20 20 20 60 40 60 40 .60 0 .20
7 Asymmetrical imbalance 40 35 5 20 75 25 45 55 .60 .30 .20
8 Asymmetrical imbalance 30 30 10 30 40 60 60 40 .60 .20 0
  P O set at 0.90            
9 Perfect symmetrical imbalance 85 5 5 5 90 10 90 10 .90 0 .80
10 Symmetrical imbalance 70 10 0 20 80 20 70 30 .90 .10 .50
  P O low (≤50%)            
11 Perfect symmetrical balance 25 25 25 25 50 50 50 50 .50 0 0
12 Asymmetrical imbalance 30 30 20 20 60 40 50 50 .50 .10 .10
13 Perfect symmetrical balance 20 30 30 20 50 50 50 50 .40 0 0
14 Perfect symmetrical balance 5 45 45 5 50 50 50 50 .10 0 0