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.

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