Table 2 Fitting of the global alignment scores aligned with affine gap penalty. All sequences were generated with the LAC approach with different sequence lengths and the alignments were carried out with the BLOSUM62 matrix and an affine gap penalty of -7/-1. Global alignment scores were fitted to the gamma and normal distribution respectively.
From: Statistical distributions of optimal global alignment scores of random protein sequences
sequence | fitted gamma distribution | fitted normal distribution | score | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
length | γ | λ | μ | d.f. | χ 2 | p-value | d.f. | χ 2 | mean | variance |
50aa | 41.00 | 0.63 | -84.60 | 10 | 11.99 | 0.29 | 11 | 89.22 | -19.19 | 104.36 |
100aa | 49.16 | 0.55 | -115.44 | 12 | 6.37 | 0.9 | 13 | 63.32 | -25.40 | 164.90 |
200aa | 52.24 | 0.44 | -153.25 | 12 | 8.26 | 0.77 | 13 | 86.91 | -33.58 | 274.14 |
300aa | 58.60 | 0.41 | -183.39 | 11 | 8.58 | 0.64 | 12 | 81.78 | -39.55 | 353.04 |
400aa | 56.17 | 0.36 | -200.13 | 11 | 4.20 | 0.95 | 12 | 29.30 | -45.36 | 426.44 |
500aa | 66.17 | 0.36 | -235.17 | 11 | 9.27 | 0.58 | 12 | 61.39 | -50.31 | 516.48 |
600aa | 68.51 | 0.34 | -253.30 | 9 | 7.52 | 0.58 | 10 | 27.55 | -54.30 | 578.04 |
700aa | 73.11 | 0.34 | -273.95 | 10 | 12.28 | 0.27 | 11 | 50.20 | -58.67 | 633.89 |
800aa | 74.73 | 0.32 | -295.61 | 11 | 12.00 | 0.36 | 12 | 55.39 | -62.46 | 727.41 |
1200aa | 96.17 | 0.32 | -376.88 | 12 | 7.52 | 0.82 | 13 | 26.49 | -76.42 | 938.75 |