Skip to main content

Advertisement

Table 3 Estimates of proportion observed, proportion expected and agreement measures, by scenarios

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

Scenario Type of table Po Pe k ^ B ^ PABAK AC 1 ^ α ^ Δ ^ Δ ^ a + 1
Paradox 1:          
1 Symmetrical balance .85 .50 .70 .72 .70 .70 .70 .68 .68
2 Symmetrical imbalance .85 .78 .32 .82 .70 .81 .55 .69 .68
3 Perfect symmetrical imbalance .90 .905 -.05 .895 .80 .89 - .78 .77
Paradox 2: P O set at 0.60          
4 Symmetrical imbalance .60 .54 .13 .41 .20 .27 .15 .21 .20
5 Asymmetrical imbalance .60 .46 .26 .4 .20 .21 .33 .32 .31
6 Perfect symmetrical imbalance .60 .52 .17 .38 .20 .23 .18 .19 .19
7 Asymmetrical imbalance .60 .475 .24 .42 .20 .23 .32 .32 .31
8 Asymmetrical imbalance .60 .48 .23 .38 .20 .20 .25 .24 .24
  P O set at 0.90          
9 Perfect symmetrical imbalance .90 .82 .44 .88 .80 .88 .68 .78 .77
10 Symmetrical imbalance .90 .62 .74 .85 .80 .84 - .83 .82
  P O low (≤50%)          
11 Perfect symmetrical balance .50 .50 0 .25 0 0 0 0 0
12 Asymmetrical imbalance .50 .50 0 .26 0 -.11 0 .01 .01
13 Perfect symmetrical balance .40 .50 -.20 .16 -.20 -.20 - -.19 -.19
14 Perfect symmetrical balance .10 .50 -.80 .01 -.80 -.80 -.18 -.77 -.77