Table 3 Probability of sib-ship for three pool sizes.
From: My sister's keeper?: genomic research and the identifiability of siblings
N= 100,000 | ||||||||||
|---|---|---|---|---|---|---|---|---|---|---|
q | M = 1 | M = 10 | M = 20 | M = 30 | M = 40 | M = 50 | M = 60 | M = 70 | M = 80 | M = 90 |
0 | 0.00001 | 1.00E-05 | 1.00E-05 | 1.00E-05 | 1.00E-05 | 1.00E-05 | 1.00E-05 | 1.00E-05 | 1.00E-05 | 1.00E-05 |
0.05 | 1.10E-05 | 2.67E-05 | 7.11E-05 | 0.000189 | 0.000505 | 0.001345 | 0.003578 | 0.009482 | 0.024886 | 0.063706 |
0.1 | 1.21E-05 | 6.64E-05 | 0.000441 | 0.002923 | 0.019099 | 0.114527 | 0.462126 | 0.850907 | 0.974301 | 0.996045 |
0.15 | 1.31E-05 | 0.000148 | 0.002194 | 0.031572 | 0.325877 | 0.87757 | 0.990679 | 0.999366 | 0.999957 | 0.999997 |
0.2 | 1.40E-05 | 0.000287 | 0.008152 | 0.190701 | 0.871059 | 0.994863 | 0.99982 | 0.999994 | 1 | 1 |
0.25 | 1.47E-05 | 0.000472 | 0.021816 | 0.512966 | 0.980292 | 0.999574 | 0.999991 | 1 | 1 | 1 |
0.3 | 1.52E-05 | 0.000666 | 0.042483 | 0.747176 | 0.994946 | 0.999924 | 0.999999 | 1 | 1 | 1 |
0.35 | 1.55E-05 | 0.000823 | 0.063574 | 0.848341 | 0.997835 | 0.999974 | 1 | 1 | 1 | 1 |
0.4 | 1.57E-05 | 0.000924 | 0.078846 | 0.88788 | 0.998637 | 0.999985 | 1 | 1 | 1 | 1 |
0.45 | 1.58E-05 | 0.000975 | 0.086919 | 0.902796 | 0.998898 | 0.999989 | 1 | 1 | 1 | 1 |
0.5 | 1.58E-05 | 0.000989 | 0.089295 | 0.906621 | 0.998961 | 0.999989 | 1 | 1 | 1 | 1 |
N = 10,000,000 | ||||||||||
q | M = 1 | M = 10 | M = 20 | M = 30 | M = 40 | M = 50 | M = 60 | M = 70 | M = 80 | M = 90 |
0 | 1.00E-07 | 1.00E-07 | 1.00E-07 | 1.00E-07 | 1.00E-07 | 1.00E-07 | 1.00E-07 | 1.00E-07 | 1.00E-07 | 1.00E-07 |
0.05 | 1.10E-07 | 2.67E-07 | 7.11E-07 | 1.89E-06 | 5.05E-06 | 1.35E-05 | 3.59E-05 | 9.57E-05 | 0.000255 | 0.00068 |
0.1 | 1.21E-07 | 6.64E-07 | 4.41E-06 | 2.93E-05 | 0.000195 | 0.001292 | 0.008518 | 0.053991 | 0.274896 | 0.715775 |
0.15 | 1.31E-07 | 1.48E-06 | 2.20E-05 | 0.000326 | 0.004811 | 0.066884 | 0.515231 | 0.940333 | 0.995739 | 0.999711 |
0.2 | 1.40E-07 | 2.87E-06 | 8.22E-05 | 0.002351 | 0.063279 | 0.659483 | 0.982308 | 0.999372 | 0.999978 | 0.999999 |
0.25 | 1.47E-07 | 4.72E-06 | 0.000223 | 0.010423 | 0.332172 | 0.959166 | 0.999099 | 0.999981 | 1 | 1 |
0.3 | 1.52E-07 | 6.66E-06 | 0.000443 | 0.028705 | 0.663129 | 0.992431 | 0.999886 | 0.999998 | 1 | 1 |
0.35 | 1.55E-07 | 8.24E-06 | 0.000678 | 0.052974 | 0.821712 | 0.997374 | 0.999968 | 1 | 1 | 1 |
0.4 | 1.57E-07 | 9.25E-06 | 0.000855 | 0.073378 | 0.879899 | 0.998527 | 0.999984 | 1 | 1 | 1 |
0.45 | 1.58E-07 | 9.76E-06 | 0.000951 | 0.084983 | 0.900612 | 0.99887 | 0.999988 | 1 | 1 | 1 |
0.5 | 1.58E-07 | 9.90E-06 | 0.00098 | 0.088497 | 0.905783 | 0.998951 | 0.999989 | 1 | 1 | 1 |
N = 6,000,000,000 | ||||||||||
q | M = 1 | M = 10 | M = 20 | M = 30 | M = 40 | M = 50 | M = 60 | M = 70 | M = 80 | M = 90 |
0 | 1.60E-10 | 1.67E-10 | 1.67E-10 | 1.67E-10 | 1.67E-10 | 1.67E-10 | 1.67E-10 | 1.67E-10 | 1.67E-10 | 1.67E-10 |
0.05 | 1.80E-10 | 4.44E-10 | 1.18E-09 | 3.16E-09 | 8.42E-09 | 2.24E-08 | 5.98E-08 | 1.60E-07 | 4.25E-07 | 1.13E-06 |
0.1 | 2.00E-10 | 1.11E-09 | 7.35E-09 | 4.89E-08 | 3.25E-07 | 2.16E-06 | 1.43E-05 | 9.51E-05 | 0.000631 | 0.00418 |
0.15 | 2.10E-10 | 2.47E-09 | 3.66E-08 | 5.43E-07 | 8.06E-06 | 0.000119 | 0.001768 | 0.025594 | 0.280299 | 0.852397 |
0.2 | 2.30E-10 | 4.78E-09 | 1.37E-07 | 3.93E-06 | 0.000113 | 0.003217 | 0.084701 | 0.726254 | 0.987023 | 0.999542 |
0.25 | 2.40E-10 | 7.87E-09 | 3.72E-07 | 1.76E-05 | 0.000828 | 0.037674 | 0.648979 | 0.988676 | 0.999758 | 0.999995 |
0.3 | 2.50E-10 | 1.11E-08 | 7.39E-07 | 4.93E-05 | 0.00327 | 0.179341 | 0.935717 | 0.99897 | 0.999985 | 1 |
0.35 | 2.50E-10 | 1.37E-08 | 1.13E-06 | 9.32E-05 | 0.007623 | 0.387598 | 0.981185 | 0.999767 | 0.999997 | 1 |
0.4 | 2.60E-10 | 1.54E-08 | 1.43E-06 | 0.000132 | 0.012063 | 0.530447 | 0.990523 | 0.999897 | 0.999999 | 1 |
0.45 | 2.60E-10 | 1.63E-08 | 1.59E-06 | 0.000155 | 0.014878 | 0.595717 | 0.993092 | 0.999929 | 0.999999 | 1 |
0.5 | 2.60E-10 | 1.65E-08 | 1.63E-06 | 0.000162 | 0.01577 | 0.613392 | 0.993675 | 0.999936 | 0.999999 | 1 |