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Table 3 Fitting of the global alignment scores aligned with constant gap penalty. All sequences were generated with the LAC approach with different sequence lengths and the alignments were carried out with the PAM250 matrix and a constant gap penalty of -10. 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 156.20 0.90 -201.46 10 9.19 0.51 11 14.56 -25.97 197.16
100aa 113.08 0.58 -237.29 10 9.38 0.49 11 29.91 -41.55 338.82
200aa 341.64 0.78 -504.83 11 10.78 0.45 12 20.40 -68.55 557.15
300aa 110.45 0.39 -376.02 10 9.86 0.45 11 18.42 -91.93 730.71
400aa 110.74 0.35 -431.71 11 9.05 0.59 12 19.41 -114.46 908.81
500aa 158.16 0.38 -551.37 12 14.69 0.26 13 15.67 -136.15 1090.13
600aa 118.10 0.31 -537.57 11 11.67 0.39 12 30.80 -157.00 1226.38
700aa 118.40 0.29 -582.49 10 9.85 0.45 11 12.88 -178.59 1377.88
800aa 129.03 0.30 -635.51 11 7.47 0.74 12 33.63 -198.74 1478.53
1200aa 131.35 0.25 -798.05 9 11.07 0.26 10 12.83 -278.65 2053.78