Table 1: (Measures of association for selected tables): All values are rounded to three decimals.
To allow discrimination between hard zeros and small values, all values within (0, 0.0005) are presented
as ”< 0.001”. Entries of 2x2 tables are presented in columns 1 to 4. The fifth columns presents the
odds-ratio of the tables. For each odds-ratio, we studied five tables: the diagonal table (first row of the
corresponding odds-ratio), a table with three equal entries (second row), a table for which it holds that
p01 ≈ 1 or p00 ≈ 1 (third and fifth row respectively) and a table for which p00 ≈ p01 ≈ 0.5 (fourth row).
The last four columns contain the corresponding measures of association rounded to three decimals.
p00
|
p01
|
p10
|
p11
|
λ |
Y |
r |
D′
|
HS4
|
|
|
|
|
|
|
|
|
|
0.25 |
0.25 |
0.25 |
0.25 |
1 |
0 |
0 |
0 |
0 |
0.25 |
0.25 |
0.25 |
0.25 |
1 |
0 |
0 |
0 |
0 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
1 |
0 |
0 |
0 |
0 |
0.5 |
0.5 |
< 0.001 |
< 0.001 |
1 |
0 |
0 |
0 |
0 |
1 |
< 0.001 |
< 0.001 |
< 0.001 |
1 |
0 |
0 |
0 |
0 |
|
|
|
|
|
|
|
|
|
0.293 |
0.207 |
0.207 |
0.293 |
2 |
0.172 |
0.172 |
0.172 |
0.172 |
0.286 |
0.286 |
0.143 |
0.286 |
2 |
0.172 |
0.167 |
0.222 |
0.139 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
2 |
0.172 |
< 0.001 |
0.5 |
< 0.001 |
0.5 |
0.5 |
< 0.001 |
< 0.001 |
2 |
0.172 |
0.002 |
0.333 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
< 0.001 |
2 |
0.172 |
< 0.001 |
< 0.001 |
< 0.001 |
|
|
|
|
|
|
|
|
|
0.345 |
0.155 |
0.155 |
0.345 |
5 |
0.382 |
0.382 |
0.382 |
0.382 |
0.312 |
0.312 |
0.062 |
0.312 |
5 |
0.382 |
0.333 |
0.556 |
0.282 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
5 |
0.382 |
< 0.001 |
0.8 |
< 0.001 |
0.5 |
0.5 |
< 0.001 |
< 0.001 |
5 |
0.382 |
0.005 |
0.667 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
< 0.001 |
5 |
0.382 |
< 0.001 |
< 0.001 |
< 0.001 |
|
|
|
|
|
|
|
|
|
0.38 |
0.12 |
0.12 |
0.38 |
10 |
0.519 |
0.519 |
0.519 |
0.519 |
0.323 |
0.323 |
0.032 |
0.323 |
10 |
0.519 |
0.409 |
0.744 |
0.441 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
10 |
0.519 |
< 0.001 |
0.9 |
< 0.001 |
0.5 |
0.5 |
< 0.001 |
< 0.001 |
10 |
0.519 |
0.007 |
0.818 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
< 0.001 |
10 |
0.519 |
< 0.001 |
< 0.001 |
< 0.001 |
|
|
|
|
|
|
|
|
|
0.409 |
0.091 |
0.091 |
0.409 |
20 |
0.635 |
0.635 |
0.635 |
0.635 |
0.328 |
0.328 |
0.016 |
0.328 |
20 |
0.635 |
0.452 |
0.862 |
0.627 |
< 0.001 |
1 |
< 0.001 |
< 0.001 |
20 |
0.635 |
< 0.001 |
0.95 |
< 0.001 |
0.5 |
0.5 |
< 0.001 |
< 0.001 |
20 |
0.635 |
0.009 |
0.905 |
0.001 |
1 |
< 0.001 |
< 0.001 |
< 0.001 |
20 |
0.635 |
< 0.001 |
< 0.001 |
< 0.001 |
|
|
|
|
|
|
|
|
|
0.438 |
0.062 |
0.062 |
0.438 |
50 |
0.752 |
0.752 |
0.752 |
0.752 |
0.331 |
0.331 |
0.007 |
0.331 |
50 |
0.752 |
0.48 |
0.942 |
0.821 |
< 0.001 |
0.999 |
< 0.001 |
< 0.001 |
50 |
0.752 |
< 0.001 |
0.98 |
< 0.001 |
0.5 |
0.5 |
< 0.001 |
< 0.001 |
50 |
0.752 |
0.012 |
0.961 |
0.086 |
1 |
< 0.001 |
< 0.001 |
< 0.001 |
50 |
0.752 |
< 0.001 |
< 0.001 |
< 0.001 |
|
|
|
|
|
|
|
|
|
0.455 |
0.045 |
0.045 |
0.455 |
100 |
0.818 |
0.818 |
0.818 |
0.818 |
0.332 |
0.332 |
0.003 |
0.332 |
100 |
0.818 |
0.49 |
0.97 |
0.904 |
< 0.001 |
0.999 |
< 0.001 |
< 0.001 |
100 |
0.818 |
< 0.001 |
0.99 |
< 0.001 |
0.5 |
0.5 |
< 0.001 |
< 0.001 |
100 |
0.818 |
0.015 |
0.98 |
0.316 |
1 |
< 0.001 |
< 0.001 |
< 0.001 |
100 |
0.818 |
< 0.001 |
< 0.001 |
< 0.001 |
|
|
|
|
|
|
|
|
|