“highly significant”

In each of the hippocampus, amygdala, thalamus, caudate, nucleus accumbens, and brainstem, one or more diffusion metrics were highly significant with P < 10 −16 .

As reported in the Results section, the resulting network showed a highly significant protein–protein interaction enrichment ( p -value = 1 × 10−16), indicating that the observed interactions are far more frequent than expected for a random set of proteins of comparable size.

All were highly significant ( p < 10 –16 for all chromosomes after Bonferroni correction), with over 96% of the variation in the F5 position being explained by the F2 position for every chromosome tested ( Figure 2 ).

The PPI network exhibited a highly significant enrichment, with a p-value of <1.0e-16 and obtained from a random set of proteins which is a distinguishable property of STRING analysis, suggesting that these proteins are more interconnected than expected by chance, pointing to their potential roles in Parkinson’s disease pathology ( Figures 3 , 4 ).

Functional network analysis of BAs: insights from protein–protein interaction (PPI) analysis The PPI analysis conducted using the STRING database revealed a highly significant enrichment of interactions among the analyzed proteins (PPI enrichment p-value < 1.0e−16), indicating a biologically relevant network rather than a random association.

The differences between benthic and pelagic species in both measures were highly significant (P ~ 10 -16 ).

There were highly significant differences in flowering ( F 3, 379.07 = 473.2, P < 1 × 10 −16 ) and green-up ( F 3,416.03 = 110.5, P < 1 × 10 −16 ) among the grandparents.

Interaction network and functional enrichment of differentially abundant proteins The interaction network between the DAPs was highly significant (p-value < 10 −16 ), indicating that the DAPs are at least partially biologically connected (Fig. 2 ).

While the correlation between studies was moderate (0.36), it was highly significant ( P < 1 × 10 − 16 ), demonstrating that a high degree of APP co-splicing across the genome was reproduced between studies.

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

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).

When we compared RtAI and the number of HGT events of each COG (again controlling for the fact that some genes appear in fewer organisms; see ‘Materials and Methods’ section) we, once more obtained a highly significant correlation ( r = −0.4125 and P < 10 −16 , pe < 0.001; n = 917).

The PPI network showed a highly significant enrichment with a p-value of <1.0e −16 and an average local clustering coefficient of 0.707.

Again, this is highly significant ( P < 10 -16 , Wilcox rank test).

Indeed we observed for all species a highly significant correlation between GC content and thermodynamic stability and folding strength (Spearman’s rho =0.239, p -value <10 -16 for all lincRNAs considering folding strength) as observed in [ 49 ].

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.

This enrichment in interactions was further supported by a highly significant PPI enrichment p -value of <1.0 × 10 −16 , indicating that the proteins in our network have more interactions among themselves.

A highly significant proportion of these genes (Figure 4A and B and Supplementary file 5) (599, hypergeometric P < 1e−16) are also within 25 kb of 961 TP53 binding sites, potentially representing direct TP53-induced target genes (Figure 4B and C ), many of which, such as CDKN1A , are associated with multiple TP53 sites.

One-way analysis of variance (ANOVA) using the cluster size as the factor variable found that both results are highly significant ( P < 10 −16 ).

The resulting network showed a highly significant interaction among the proteins (p value < 1.0e −16 ).

This difference between MS patients and non-MS controls is highly significant ( p < 10 − 16 ) .

Cruise-specific calibrations of shipboard fluorometers, nephelometer/optical backscatter, and oxygen sensors yielded highly significant ( P <10 −16 ) linear relationships between all discrete and calculated concentrations of chlorophyll- a , SPM and DO ( Fig. 3 ).

Accordingly, the removal of these functional factors leads to a highly significant association between GC content and recent positive selection (slope = 0.49; P < 1E−16; supplementary Results S3: table S4, Supplementary Material online).

Of these, 1495 genes are detectably expressed in our lines, and 1079 (72.2%) are classified as DE between the species in both data sets (a highly significant enrichment; χ 2 p < 10 −16 ).

Each result is highly significant ( p < 10 −16 , for each predictor.