“highly significant”

There is a good visual agreement between the logos of the simulations and uniref90, and the r values vary between 0.63 and 0.77 (see Table 2 ), which is highly significant (p < 10 -10 ).

Figure 1 C shows across 9,320 gene promoters, RNA Pol II pauses at very similar locations among the five individuals; pairwise correlations ( Figure 1 D) are highly significant (p < 10 −10 ).

At the gene level the overlap in repressed genes was highly significant ( p < 1x10 −10 ), consonantly when top repressed genes in T47D cells were evaluated the majority of them were repressed greater than 1.5-fold (Figure 4C ).

The overlap between MA-line polymorphisms and naturally occurring variants is thus highly significant compared to expectations of overlap based on a random distribution of mutations and polymorphisms ( Figure 5A ) (SNM: Fisher’s Exact test, P = 1e−10; indel: Fisher’s Exact test, P = 6e−5).

Among these, we identified 339 genes, the expression levels for which showed highly significant (Moran’s I Bonferroni-corrected P < 1e-10) spatial heterogeneity across cells ( Dataset S11 ).

This was largely due to a few eeQTLs with relatively highly significant effects ( p < 1e-10) on the expression levels of the 2nd exon in the milk cells and a similar but less significant effect ( p < 1e-4) on the 2nd exon expression in white blood cells (Additional file 2 : Figure S7).

These associations were highly significant ( p < 1 × 10 −10 , q < 1 × 10 −10 ).

Hypergeometric enrichment analyses showed that these overlaps were highly significant ( p < 1e−10), supporting a non-random and biologically meaningful association among these factors (Fig. 3 C).

There was a highly significant agreement (Pearson's R = 0.41, P < 10 −10 ) between the model prediction and the measured changes in protein levels, with the model also quantitatively matching the proportional relationship (gradient of slope = 0.75) (Fig 6 F).

The darkred gene module had a highly significant correlation between GS and MM with respect to both CVH metrics ( r = 0.39, p -value = 1.0 × 10 −10 ) and BDI-II score ( r = 0.62, p -value = 1.4 × 10 −28 ) ( Figure 3 ). 3.5.

Still, these correlation values were highly significant, also driven however by the large number of observations (p < 10 -10 ).

As most tested associations were highly significant ( p < 10 − 10 ), precise p-values are reported only for those with p > 10 − 10 .

Relatively large and highly significant interaction effects were found in the gradients of WF ( β PD = 0.46, 95% CI = [0.33, 0.59], P < 10 −10 ) and R2* ( β PD = -0.47, 95% CI = [−0.63, -0.32], P < 10 −7 ).

Notably, GO analysis of the 708 up-regulated genes did not show significant enrichment in any specific GO category, but the 733 down-regulated genes showed highly significant enrichment in several categories, with the top three (Benjamini adjusted P -value < 1 ×10 −10 ) classified as neural lineage related categories, including ‘neuron differentiation’, ‘transmission of nerve impulse’ and ‘neuron development’ (Figure 1D ).

On the basis of counting statistics (binomial distribution), this difference is highly significant ( p << 10 −10 ).

Of the 4694 SNPs, 389 MTAs were significant at P < 10 −8 , including 88 highly significant MTAs at P < 0.0000000001 (10 −10 ) ( Supplementary Data Table S3 ).

We found that observation interval was a highly significant factor ( p < 10 −10 ), whereas the effect of the ensemble size was near significance ( p = 0.0758) because of the difference in RMSD error area between k = 5 ensemble member trials and other ensemble sizes.

Finally, we also fitted a linear model that included the interaction between the mother and father genotypes with temperature and found that this interaction was highly significant (LRT: χ 2 = 303.9, df = 8, P < 1 × 10 −10 ).

The downregulated modules include 170 genes ( p < 1e-06), among them 13 highly significant genes ( p < 1e-10): COL10A1 , SAMD9 , PLPP4 , COMP , POSTN , IGHV4–31 , THBS2 , MMP9 , FNDC1 , HOPX , TMEM200A , INHBA , and SULF1 .

Several proteins were upregulated in the CBD-treated group, including large ribosomal subunit proteins (uL30/Rpl7, uL1/Rpl10a, uL2/Rpl8), molecular chaperones (Hsp90b1, Hspe1, Hspd1), calumenin (Calu), and macrophage migration inhibitory factor (Mif), all with highly significant changes (p < 10 −10 , FDR <10 −9 ).

We find a highly significant improvement in model performance (R 2 of 0.035 vs. 0.14, p < 10 −10 ). 3.2.

A t-test comparing the means returns a p-value of 0.167 (no significant difference) while a 2 sample KS-test returns a highly significant (p-value <10 −10 ) difference between the two distributions.

Though a highly significant ( p < 10 −10 ) correlation between place field distance and cross-correlogram (CCG) latency was identified at the θ time scale ( S13A Fig ) with ρ = 0.30, the fraction of variance explained (R 2 = 0.07) was very low compared to the behavioral time scale correlation ( S13B Fig ) with ρ = 0.68 and R 2 = 0.46.

1 B, were 0.45 ± 0.13 (standard deviation) and 0.92 ± 0.07, respectively; the difference was highly significant (P < 10 −10 , t test for paired measurements).

For each of the module, we have assigned the clinical annotation, when it is highly significant (p < 10 −10 ) and when the minimum hit of the module genes on cancer pathways is atleast 50%.