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 p00p01 ≈ 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