“highly significant”

The correlation between HNRNPK binding events and nuclear enrichment was highly significant when controlling for transcript length and expression levels (R=0.2, P<10 -16 in HepG2 cells and R=0.07, P<10 -16 in K562 cells).

The regression itself was highly significant ( R 2 = 0.93, P < 10 −16 ), and outliers were those points lying above or below a 99.9% confidence interval around the line of best fit.

Protein–protein interaction (PPI) analysis revealed a highly significant network connectivity among these proteins ( p < 1.0 × 10 −16 ).

We do detect a highly significant enrichment of marine-freshwater differentially expressed genes, as predicted ( P < 10 −16 ).

After removal of disconnected nodes, the refined network consisted of 267 nodes and 1154 edges, with an average degree of 8.64 and a highly significant PPI enrichment ( P < 1.0e-16).

The C > A mutations observed were associated with highly significant sequence-selectivity, being marked by an excess at CpCpT (NGCII082, odds ratio (OR) = 3.2, P -value < 10 -16 , χ 2 test) or TpCpA sites (NGCII092, OR = 1.7, P -value < 10 -16 , χ 2 test) and extensions of these motifs (Materials and methods; Note 6 and Figure S6 in Additional file 1 and Table S14 in Additional file 6 ).

The resulting network comprised 14 nodes and 87 edges with a highly significant enrichment (p-value <1.0e–16), indicating nonrandom functional connectivity among apoptosis, inflammation, and oxidative-stress regulators.

The PPI network analysis revealed highly significant connectivity ( p < 1.0e-16), with functional enrichment in protein refolding and cellular stress response.

This test yielded highly significant results for both similarity types (Functional and Taxonomic) across all three runs (Taxonomic: H-statistic 80.64–107.68.64.68, p < 1e-16; Functional: H-statistic = 380.5–457.7, p < 1e-80), indicating that at least one category distribution differed from all the others.

Moreover, using paired t tests to validate these differences, we found highly significant differences between the observed distributions of FD and PD and the null models ( P < 10 −16 , t test).

For our list of 64 miRs, 18 enrichment pathways are highly significant ( p < 1E-16).

When we considered individual pathogenic CNVs that were not overlapped by benign CNVs (that is, exclusively pathogenic regions), a mean of 37.3% of the genes were developmental genes compared with 24.2% of benign CNV genes (medians 28.4% and 0%, respectively), a highly significant difference ( P <1.0 × 10 −16 , Mann–Whitney U -test).

Although it displays limited power, the PRS predictor is highly significant ( P < 1.0 × 10 −16 ), and an analysis of variance (ANOVA) between the full PRS model against the null model using covariates only is significant ( P = 1.9 × 10 −12 ), confirming the additional classification accuracy conferred by the PRS predictor.

As illustrated in Figure 3 , there was a highly significant correlation between the genetic and transcriptome covariances for this set of genes ( r = 0.035, P = 1.0 × 10 −16 ; Figure 3 ).

In sharp contrast, the STRING analysis found a highly significant connection enrichment in the MSI-H overexpressed proteins ( Fig. 3 B ; p -Value < 10 −16 ).

The network demonstrated highly significant connectivity (PPI enrichment p -value < 1 × 10 −16 ), as 201 interactions were observed compared to the 27 edges expected by chance, supporting functional relationships among the proteins rather than random connectivity.

STRING analysis revealed a highly significant enrichment of protein–protein interactions (PPI enrichment p < 1.0 × 10 −16 ), confirming that the identified proteins are functionally connected rather than randomly associated.

41 All clocks demonstrated a strong and highly significant correlation with the biologic age, with the skin and blood clock demonstrating the strongest correlation (Pearson R = .96; 95% CI, 0.959–0.97; P <1 × 10 16 ) ( Figure 8 A ).

The expected number of edges is 393 and has a PPI enrichment p -value was highly significant ( p < 10 −16 ).

In spite of different cell death phenotypes of these mutants, RNA-seq revealed that all three mutants down-regulated the same 95 genes and up-regulated the same 9 genes, a highly significant portion of the total transcriptome (p<10 −16 ) ( Figure 5 and Table S5 ).

The 48 proteins consistently enriched in plaques in both EOAD and DS also showed a highly significant degree of protein–protein interaction ( p < 1.0 × 10 –16 ; Fig. 3 D) and were almost exclusively classified as either vesicle (enrichment FDR: 4.32 × 10 −9 ) or extracellular proteins (enrichment FDR: 3.34 × 10 −8 ).

The interaction between fingertip ROI and stimulation condition was highly significant ( F 16,80 = 71.7, P < 10 −16 , Greenhouse‐Geisser correction: F 1,5 = 71.7, P < 10 −3 ).

By comparing the joint mt / apico haplotype frequencies ( Supplementary Table 3 ), we found that the dependence between mt and apico was highly significant ( χ 2 =64,921, d.f.=39,566, P <10 −16 ), providing strong evidence of co-inheritance of the two organelles.

Using STRING analyses, we identified a highly significant protein–protein interaction (PPI) enrichment ( P = 10 −16 ) only for the downregulated genes of H2A.Z.1‐depleted cells.

However, the effects were clearly non-random, with highly significant enrichments of specific pathways and an overall protein–protein-interaction enrichment p -value of <1.0 × 10 −16 upon bioinformatics analysis at the STRING (search tool for the retrieval of interacting genes) webpage in Heidelberg.