“highly significant”

Two highly significant loci associated with idiopathic MN were discovered: the human leukocyte antigen (HLA)-DQ alpha chain 1 ( HLA-DQA1 ) locus (rs 2187668; odds ratio, 4.32; P = 8.0 × 10 −93 ) and the PLA2R1 locus (rs 4664308; odds ratio, 2.28; P = 8.6 × 10 −29 ).

One-way ANOVA revealed highly significant differences in abundance, with 10 metabolites showing strong accumulation patterns (F-values 1.38 × 1031−7.84 × 1032; p < 1.03 × 10−92, FDR-corrected).

On the other hand, there were 180 genes differentially regulated by both dfoxo and Xbp1 s overexpression in the fat body ( Figure 4 C) and this overlap was highly significant ( p < 10 −90 ).

A Mann–Whitney U test confirmed the difference was highly significant ( U = 130,876, p < 1e-86, Cohen’s d = 2.05), indicating a large effect size.

LD score regression analysis revealed a genetic correlation coefficient of rg = 0.23 (95% confidence interval [CI]: 0.203 to 0.249; se = 1.15 × 10 − 02 ), which was highly significant ( P = 2.65 × 10 − 85 ).

For viscosity–transparency relationships, ANOVA demonstrated a highly significant association (F = 244.94, p < 1 × 10 −84 , R 2 = 0.98), where viscosity nearly fully explained transparency differences—likely linked to enhanced molecular alignment or suppressed phase separation in high-viscosity systems—with a negligible C.V.

Genome size remained a highly significant predictor of the number of metabolites in the microbial genomes per species ( β = 6.99 × 10 −5 , p = 6.97 × 10 −83 ), indicating that genome completeness does not confound the observed relationship.

When comparing IBD genes to non-IBD genes within each tissue group, we observed highly significant differences across all categories: brain tissues ( p = 9.39 × 10 −82 ), GIT tissues ( p = 2.65 × 10 −97 ), and other tissues ( p = 1.17 × 10 −90 ), indicating that IBD-associated genes have distinct expression profiles compared to background genes.

The division of the San and Damara forager groups was in line with ADMIXTURE clustering, with highly significant correlations of admixture fractions between methods (Pearson correlation; R = 0.76 and 1.00, P -value = 1.21 × 10 −81 and 3.59 × 10 −13 ; Supplementary Fig. 5a, b ).

Remarkably, we observed a highly significant overlap (hypergeometric test, P = 2.44e-81) between the AS genes in smad1 -cKO (121/512) and smad1 -KD (121/660) PGCs (Fig. 7b ), such as ccdc187 (coiled-coil domain containing 187) that is involved in microtubule anchoring and located in the centrosome 51 , mak ( male germ cell associated kinase ) that encodes a serine/threonine protein kinase related to cell cycle regulation 52 , tinf2 ( TERF1-interacting nuclear factor 2 0) that encodes one subunit of shelterin complex involved in distinguishing between telomeres and DNA damage 53 , among others (Supplementary Fig. 7a ).

Results Monocyte responsiveness to LPS showed a highly significant, negative correlation with blood pressure levels (ρ< -0.4; P<10 -80 ).

Statistical Significance of Circuit Category Effects One-way ANOVA on proof generation times across the seven non-ECDSA circuits reveals highly significant differences ( F = 355.0 , p < 10 − 79 ), with circuit type explaining 94.1% of variance ( η 2 = 0.941 ).

Furthermore, the overlap in hits between cell lines was highly significant ( p < 1e-78, hypergeometric test; Figure 3G ).

As additional validation supporting the role of myeloid-derived cells, and specifically monocytes, as a dominant contributor to plasma CyC levels, we found a significant positive correlation between blood monocyte counts and CyC residual in the UKB cohort ( Figure S4 B; multivariate regression), and two-sample Mendelian randomization using blood-derived CST3 eQTLs (eQTLGen 58 ) as exposure identified a highly significant positive association with CyC production (p = 6.13e−77; Figure 4 E).

Results for the theta band showed a highly significant association between the mean relevance of each brain region, and how their centrality changes in association with p-tau231 levels (rho = 0.499; p = 9.2 × 10 –77 ).

Similarly, the results revealed a strong positive correlation between RA Factor and disease severity, with Spearman’s ρ = 0.902 and a highly significant P -value < 3.9 × 10 −76 ).

All genome-wide analysis was conducted with only highly significant enhancers [-log10(P) > 75] and NREs [-log10(P) > 30] which intersected strongly accessible chromatin from peaks which overlap MACS peaks called from the input plasmid library alone.

The Pearson correlation of individual question scores for the same participant was r = 0.19, which was highly significant with p = 7e-75 (n = 9520).

The results clearly show an overall highly significant increase in the number of such events in TA MSI clones compared to TA MSS malignant clones ( p -value < 2 × 10 −74 ).

T2D status was found to be a highly significant predictor of weight loss efficacy ( P = 2.0 × 10 −73 ; Supplementary Table 4 ), with an average predicted reduction of 2.87 percentage points in BMI loss for people with a T2D diagnosis.

The test was highly significant ( p = 6.77 × 10 −72 ), indicating that the data were not missing completely at random (MCAR).

However, the effect of sex is highly significant ( p = 2.62 × 10 −70 ).

In the GSE14520 cohort, risk scores showed a trending stage-dependent increase from nontumor tissues to early-stage HCC (BCLC 0/A) and more advanced HCC stages (BCLC B–C), with highly significant differences across all groups (overall p =1.86×10 −69 ; Fig. 5A ).

The overlaps with plasma were 47 (T1∩plasma) and 54 (M1∩plasma), both highly significant after Bonferroni correction (Fisher’s exact test p < 10−68 and p < 10−74; Supplementary Fig. 2a ), supporting the reliability of the plasma-derived ground truth.

The regression model including these four significant factors was moderately predictive of matrix-like volume (R 2 = 0.32) but highly significant (F (7, 844) = 57.8, p = 1.2 × 10 –67 ).