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Table 3 Kendall's tau (rank correlation) comparing the most significant exact p-values (the reference) to the Karlin's approximations. The column "all" gives the result for all sequences while the R i give the results for a certain range of sequence lengths: smaller than 100 for R1, between 100 and 200 for R2, between 200 and 500 for R3, between 500 and 1 000 for R4, between 1 000 and 2 000 for R5 and greater than 2 000 for R6.

From: Effective p-value computations using Finite Markov Chain Imbedding (FMCI): application to local score and to pattern statistics

number of p-values

all

R1

R2

R3

R4

R5

R6

10

0.30

0.64

0.24

-0.20

0.58

0.64

0.97

50

0.14

0.73

0.50

0.46

0.56

0.78

0.97

100

0.37

0.70

0.67

0.62

0.61

0.80

0.98