The overall model was highly significant [ F (7, 3,992) = 371.3, p < 2.2 × 10 –16 ] and accounted for approximately 39% of the variance in log-transformed cattle infections.
Excerpts
All fitted models were highly significant ( F 5,122 = 26.1, p -value < 2.2 × 10 -16 with ‖ Δ ^ ̄ − Δ ‖ as response; F 5,122 = 47.7, p -value < 2.2 × 10 -16 with λ ^ ̄ as response; and F 5,122 = 12.1, p -value = 1.6 × 10 -9 with | ε ^ g e n − ε ̃ g e n | ̄ as response); residual plots showed no large deviations from the assumptions of normality of error distribution (an asymptotic normal distribution of the response variables is warranted by the central limit theorem), homoscedasticity, and independent errors (data not shown).
Furthermore, we saw a slight but highly significant correlation (Pearson R 2 = 0.308452; P <2.2e -16 ) between a transcript sequence’s similarity to rRNA and the magnitude of the difference in coverage between the no selection and rRNA-depleted libraries (Additional file 11 : Figure S9 and Additional file 12 ).
The histogram of the distribution of the uncorrected p -values suggested that there was a highly significant excess of low p -values ( p -value < 2.2 × 10 − 16 ; Kolmogorov–Smirnov test; Fig. 2A ).
The high proportion of variation among environmental means in Figure 3 is supported by highly significant (p< 2.2e-16) differences among the mean effect of each environment.
Moreover, the relationship between the two methods of load estimation was highly significant (F 1,72 = 2420, p = 2.2 × 10 −16 ), and the slope was not significantly different from 1 (0.96, 95% CI [0.97, 1.05]), supporting the hypothesis that only Wolbachia w Sc1 and w Sc2 circulate in the S. cleopatrae flea populations.
There is a highly significant overlap in the promoters that gain hmC at 12 hrs and those that lose mC at 72 hrs ( P value < 2.2×10 −16 , Fig. 1d , Supplementary Fig. 6 ).
Supporting this hypothesis, a comparison of the mean coverage of the nuwt regions to that of the non-nuwt regions showed a small but highly significant difference between them (Wilcoxon rank sum test with continuity correction, p < 2.2×10 -16 for all 13 samples).
Notably, the relaxed (R) state showed highly significant differences ( p < 2.2 × 10 −16 ) from all other emotional states across all features.
However, these correlations were still highly significant ( P values < 2.2e-16 in both Pearson and Spearman correlation tests).
These results show, that RNAs with diminished abundances in the mutant possess a particularly high amount of cleavage sites, which was also indicated as highly significant by hypergeometric test (enrichment over background distribution of cleavage sites: 6.23-fold; p-value <2.2 −16 ).
Consistent with this, many of these genes (80/173) were also downregulated in the DIG1 residual profile, a highly significant enrichment (Fisher’s exact test, 1-tailed: P < 2.2e−16).
3C ), with the Kolmogorov-Smirnov test revealing a highly significant difference in the two distributions (p = 2.2×10 −16 ).
Statistical analyses showed that Pearson’s χ 2 test with Yates’ continuity correction had a χ 2 statistic of 34,319 with 1 df, indicating a highly significant association (p<2.2e−16).
The traits are much more correlated in both twin groups than in twin-spouse pairs or unrelated individuals (all comparisons were highly significant, p < 2.2e16).
The difference was also highly significant ( p < 2.2 × 10 −16 ) when comparing the covariance of within blocks and independently changing environments.
Furthermore, a linear model comparing the paired connectivity estimates from the 24-particle and 1-particle-per-day scenarios revealed a highly significant (p < 2.2e-16) and remarkably strong linear relationship, closely approaching a 1:1 correspondence (R-squared = 0.999; Fig. 3 ).
The results of the statistical linear regression between RSSI and the logarithm of the node-gateway distance (logD) are robust and highly significant (R2 = 0.808, p -value < 2.2 × 10 −16 , residual standard error = 10.68 dBm).
In both cases the difference in expression level was highly significant ( p < 2.2e-16) indicating that the coverage of those genes was too low for an assembly of at least 55% in one species.
As shown in Figure 4E and Figure S4B , genes that retain H3K27me3 in mutant iPSC showed indeed a highly significant stronger enrichment for this mark in control iPSC cells, both in terms of maximum height and average read density (p-value<2.2e-16, two tailed t-Test).
However, all correlations were highly significant ( P < 2.2E-16).
The effect of the fly strain on CCRT was highly significant (Kruskal–Wallis test, p < 2.2 × 10 −16 ).
This shift was highly significant as determined by the Mann-Whitney-Wilcoxon Test ( P <2.2*10 −16 ).
These tests were all found to be statistically highly significant, with p < 2.2 × 10 −16 .
However, of those that overlapped, there was a highly significant enrichment for effect direction concordance (i.e., increased binding with increased accessibility; OR = 18.0, P -value < 2.2 × 10 −16 ), suggesting replication across these distinct studies.