Second, the results of the Tajima test, which compares two different estimates of nucleotide diversity under the infinite-site model, appear more contrasted, with only three genes (PB2, PA and NP) for which neutrality cannot be rejected.
The p-value of this Shapiro test conveys the certainty with which the Gaussian hypothesis cannot be rejected.
The 5 prokaryotes for which the null hypothesis cannot be rejected are Halobacterium (Archaea), Mycoplasma penetrans, Ureaplasma urealyticum (Firmicutes), Buchnera aphidicola, (Proteobacteria bacteria), Treponema pallidum (Spirochaetes).
In order to lose as little information as possible, we chose the largest number of bins for which the minimum P value is larger than 0.05, which indicates that compositional homogeneity cannot be rejected for this set of bins according to the chi-square test.
A nonsignificant test for LD, therefore, indicates that the null hypothesis (H0: ≤ 1/ S) cannot be rejected, which implies that the upper bound of would include infinity.
Whereas the minimum P values for 10 or more bins are smaller than 0.05 (Additional file 13), the minimum P value for 9 minmax chi-squared bins (D, PV, AIMSY, GFT, L, NH, W, RCQK, E) is 0.112, which indicates that compositional homogeneity cannot be rejected for these bins according to the chi-square test.
Table 4 reports the results of the estimation of Eq. (9) for all series but the 6-month lending rate, for which the hypothesis of symmetric cointegration cannot be rejected.
The correlation coefficient for additional collateral (COL) equals 0.03, which leads to the conclusion that Hypothesis H2 cannot be rejected.
These results indicate that the null hypothesis cannot be rejected at the 5% significance level which confirms the accuracy of the prediction formula.
