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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