Lengths Data p=0.25 p=0.5 p=0.75
Expected Lengths Result Expected Lengths Result Expected Lengths Result
sequence length min-tract length Random Sequence Formula Relative Difference (%) Random Sequence Formula Relative Difference (%) Random Sequence Formula Relative Difference (%)
10 1 1 1.33 24.8120301 1 1.3 23.0769231 3 3.4033 11.85026298
20 1 1.25 1.33 6.01503759 1.4 2 30 5.333 3.9964 33.44510059
50 1 1.33 1.33 0 2.09 2 4.5 3.0909 4 22.7275
20 5 0 5.333 100 0 5.999 100 10 7.838 27.58356724
50 5 0 5.333 100 0 6 100 9 7.9999 12.50140627
100 5 0 5.3333 100 5.5 6 8.33333333 8.1667 8 2.08375
1000 5 7 5.3333 31.2508203 6.31 6 5.16666667 9.1765 8 14.70625
10000 5 5.28 5.3333 0.99938125 6.13 6 2.16666667 8.0543 8 0.67875
20000 5 5.3 5.3333 0.6243789 6.015 6 0.25 8.0666 8 0.8325
40000 5 5.249 5.3333 1.58063488 6.0235 6 0.39166667 7.8913 8 1.35875
100000 5 5.117 5.3333 4.05565035 5.9705 6 0.49166667 8.0096 8 0.12
Table 1: Comparison of the expected tract lengths under various conditions.