TABLE 5

Exact conditional probabilities of haplotype configurations and summary statistics for s = 10, n = 7, and various values of θ, obtained from (17) and (19)

Configuration (c)q(c|s, n, θ)Cumulative
 probabilityℙ[MM(c)]ℙ[MM(c)]ℙ[KK(c)]ℙ[KK(c)]ℙ[HH(c)]ℙ[HH(c)]
θ = 1
(7, 0, 0, 0, 0, 0, 0)0.00580.00581.00000.00581.00000.00581.00000.0058
(5, 1, 0, 0, 0, 0, 0)0.05970.28990.99420.25390.99420.06550.99420.0655
(3, 2, 0, 0, 0, 0, 0)0.13290.78910.99420.25390.93450.28340.93450.1985
(1, 3, 0, 0, 0, 0, 0)0.05540.23020.99420.25390.71660.64620.80150.3388
(4, 0, 1, 0, 0, 0, 0)0.08500.44980.74620.64160.93450.28340.80150.3388
(2, 1, 1, 0, 0, 0, 0)0.21091.00000.74620.64160.71660.64620.66120.5497
(0, 2, 1, 0, 0, 0, 0)0.04080.12380.74620.64160.35380.92290.45030.5905
(1, 0, 2, 0, 0, 0, 0)0.05100.17480.74620.64160.35380.92290.40950.7380
(3, 0, 0, 1, 0, 0, 0)0.09640.54620.35840.87090.71660.64620.40950.7380
(1, 1, 0, 1, 0, 0, 0)0.10990.65610.35840.87090.35380.92290.26200.8479
(0, 0, 1, 1, 0, 0, 0)0.02300.02890.35840.87090.07711.00000.15210.8709
(2, 0, 0, 0, 1, 0, 0)0.07490.36480.12910.97040.35380.92290.12910.9459
(0, 1, 0, 0, 1, 0, 0)0.02460.05340.12910.97040.07711.00000.05410.9704
(1, 0, 0, 0, 0, 1, 0)0.02960.08300.02961.00000.07711.00000.02961.0000
θ = 4.08163
(7, 0, 0, 0, 0, 0, 0)0.03280.11131.00000.03281.00000.03281.00000.0328
(5, 1, 0, 0, 0, 0, 0)0.18770.78260.96720.48180.96720.22050.96720.2205
(3, 2, 0, 0, 0, 0, 0)0.21741.00000.96720.48180.77950.58120.77950.4379
(1, 3, 0, 0, 0, 0, 0)0.04390.19750.96720.48180.41880.87920.56210.6251
(4, 0, 1, 0, 0, 0, 0)0.14330.42310.51820.83100.77950.58120.56210.6251
(2, 1, 1, 0, 0, 0, 0)0.17170.59480.51820.83100.41880.87920.37490.7968
(0, 2, 1, 0, 0, 0, 0)0.01500.02850.51820.83100.12080.98650.20320.8118
(1, 0, 2, 0, 0, 0, 0)0.01920.04770.51820.83100.12080.98650.18820.9134
(3, 0, 0, 1, 0, 0, 0)0.08240.27990.16900.95940.41880.87920.18820.9134
(1, 1, 0, 1, 0, 0, 0)0.04220.15360.16900.95940.12080.98650.08660.9556
(0, 0, 1, 1, 0, 0, 0)0.00370.00370.16900.95940.01351.00000.04440.9594
(2, 0, 0, 0, 1, 0, 0)0.03080.07860.04060.99440.12080.98650.04060.9902
(0, 1, 0, 0, 1, 0, 0)0.00420.00790.04060.99440.01351.00000.00980.9944
(1, 0, 0, 0, 0, 1, 0)0.00560.01350.00561.00000.01351.00000.00561.0000
θ = 10
(7, 0, 0, 0, 0, 0, 0)0.06710.21411.00000.06711.00000.06711.00000.0671
(5, 1, 0, 0, 0, 0, 0)0.28181.00000.93290.60610.93290.34880.93290.3488
(3, 2, 0, 0, 0, 0, 0)0.22690.71820.93290.60610.65120.73050.65120.5758
(1, 3, 0, 0, 0, 0, 0)0.03040.08530.93290.60610.26950.94500.42430.7608
(4, 0, 1, 0, 0, 0, 0)0.15470.49130.39390.89890.65120.73050.42430.7608
(2, 1, 1, 0, 0, 0, 0)0.12250.33660.39390.89890.26950.94500.23920.8833
(0, 2, 1, 0, 0, 0, 0)0.00670.01080.39390.89890.05500.99590.11670.8900
(1, 0, 2, 0, 0, 0, 0)0.00890.01970.39390.89890.05500.99590.11000.9606
(3, 0, 0, 1, 0, 0, 0)0.06170.14710.10110.98160.26950.94500.11000.9606
(1, 1, 0, 1, 0, 0, 0)0.01990.05500.10110.98160.05500.99590.03940.9805
(0, 0, 1, 1, 0, 0, 0)0.00110.00110.10110.98160.00411.00000.01950.9816
(2, 0, 0, 0, 1, 0, 0)0.01540.03510.01840.99820.05500.99590.01840.9970
(0, 1, 0, 0, 1, 0, 0)0.00120.00230.01840.99820.00411.00000.00300.9982
(1, 0, 0, 0, 0, 1, 0)0.00180.00410.00181.00000.00411.00000.00181.0000
  • Cumulative probability refers to the sum of the probabilities of all configurations that have probability at most q(c|s, n, θ). The value θ = 4.08163 was chosen using (26). Unlike θ = 4.08163, the values θ = 1 and θ = 10 are not likely to produce 10 segregating sites.