“highly significant”

A One-Way ANOVA was performed, and the results indicate a highly significant difference between the ligand groups (P-value < 6.6718 × 10 −177 ).

This trend was confirmed across two additional independent sampling replicates ( n = 10,000 molecules per replicate), indicating that the effect is not attributable to stochastic variability. Across all runs, the improvement in QED at T = 0.6 remained highly significant (one-way ANOVA p < 10 –175 ; Kruskal–Wallis p < 10 –180 ), with a similarly significant reduction in structural alerts ( p < 10 –2 ).

The overlap between these two gene sets was highly significant (OR = 6.6, p = 6.61 × 10 −175 ).

A highly significant proportion (99.2%; sign test p = 1.47 × 10 −172 ) had the same direction of association across the two datasets ( Figure S3 ), and a large proportion (n = 337; 58.0%) satisfied the criteria for a pleiotropic association (p < 1.04 × 10 −6 and HEIDI p > 0.05) in the replication dataset as well.

The results again indicated only minor differences between the young and old samples for most substructures, but revealed a robust and highly significant ( P = 2.0e‐171) hypermethylation of CpG islands in the old samples (Fig. 2 B).

Analysis of CpG sites positively correlated across all tissues revealed ‘nervous system development’ as a highly significant gene ontology (GO) term (P = 2.0 × 10 –171 ).

As shown in Figure 1 A, one genome-wide highly significant associated position on BTA13 (ARS-BFGL-NGS-107931; position 63,500,701) was detected (−log 10 P -value = 167.56).

1d–g ), transcriptome profiling of two EwS cell lines after either knockdown of EWSR1-ETS or re-expression of TCF7L1 showed a highly significant ( P = 2.57 × 10 − 165 or P = 5.34 × 10 − 272 ) overlap of concordant DEGs (Supplementary Fig. 1e ).

To minimize false-positive hits, we filtered for the 2,071 peaks that overlapped in all three experiments and represented highly significant binding regions ( p < 1 × 10 −164 ; FDR <0.004; Tables 1 , Fig. 1 A ).

All of the African populations have higher T2D genetic risk than the European populations, and the difference between the African versus European ancestry group T2D genetic risk averages is highly significant ( t = 33.9, P = 1.4 × 10 −164 ).

All gene-set intersections for seam cells across methods were highly significant ( P ≤2.2×10 −162 with a Fisher's exact test), with 72.4% of the TaDa-defined seam cell genes at L2 and 79% of the L4 genes being present in the sci-RNA-seq dataset ( Fig.

As expected based on previous studies ( 8 , 19 ), we found a highly significant association between DNM rate per individual and paternal age (linear regression, R 2 = 0.410, P < 2.98 × 10 −162 ) ( SI Appendix , Fig.

However, events which were marked by more than one reviewer had much higher skewCurve values than events marked by only one reviewer: the AUROC value between consensus and non-consensus events was 0.79, and the difference in medians was highly significant (p < 10 −160 , one-sided Wilcoxon Rank Sum).

When test and training data were from the same day, estimates of mouse location were excellent (median error nearly always <7 cm) and highly significant compared to shuffled test data ( P <10 -160 ; Kolmogorov-Smirnov test).

Moreover, these introns display a highly significant reduction in SED compared to background groups (Fig. 3 c and Additional file 1 : Figure S3, p < 2.2 × 10 −160 , Wilcoxon rank-sum test).

Partial correlation analysis performed on the INO80 ChIP-seq and DRIP-seq data over RNA-seq data, indicated that the correlation between INO80 and R-loop enrichments remained highly significant when controlled for gene expression levels ( p = 5.5 × 10 −160 , Supplementary Fig. 10a–c ).

A total of 433 genes, representing 50% of differentially regulated genes between FEnS and AEnS, were similarly regulated in both sample sets ( Figure 4 A and Supplementary Worksheet 6 ), with a highly significant overlap in the gene set enrichment analysis ( P < 3.567e-159).

To assess enrichment, hypergeometric ratio testing was performed, demonstrating that the degree of overlap between these gene sets is highly significant at an adjusted p < 4.98 × 10 −158 .

In the subgroup comparison between the high LDL-C and CAD subgroups, a highly significant difference was observed for LDL-C ( P = 5.8×10 -158 ) because the high LDL-C subgroup was originally defined using LDL-C levels.

The extent of overlap was highly significant ( p = 1.32E-157 and p = 2.09E-200 for genes associated with COO-unclassified DLBCL or COO class, respectively).

We also note that due to the statistical power of the study some highly significant associations may not be as clinically impactful due to small effects sizes (e.g., age with OR = 1.01; p = 2.61 × 10 − 157 for survey question 1).

There was a very highly significant ANOVA [ F (95, 408) = 40.34, p = 3.689e −157 ].

For OtV-type 2a, Ka​/Ks ratios were consistently >1 across all models, with highly significant P -values (average of ω = 1.3 and a P -value = 3e-155), indicating strong diversifying (positive) selection.

Using the same Mann–Whitney U test, we find a corrected p -value to be highly significant when comparing LD-18 and HD-18 samples ( p -value = 4.78–153).

A highly significant sex effect (min p=2.1 × 10 −151 ) and aging effect (min p=8.0 × 10 −44 ) were noted, together explained up to 21% of the variance per facial phenotype (e.g. between alares and Ls; Figure 1—figure supplement 2A–2C , Supplementary file 1 - Table 3).