“highly significant”

The correlation coefficient was r = 0.93 and highly significant ( p < 10 −15 ).

Not surprisingly, all pairs of correlations are highly significant with p -values < 10e-16 (alternative hypothesis: true correlation is not equal to 0).

A multivariate test of differences between SLE and control subjects based on the first six PCs was highly significant (p < 10 −15 ), as was the test based on only the first PC (p < 10 −15 ).

In contrast, both adult studies showed highly significant (all P <10 −15 , matched-pair t -tests) reductions in spindle density (12% and 15% reductions in SHHS and MrOS, N =2,597 and 958, respectively), amplitude (5 and 12%) and duration (2 and 2%) across the ∼5-year period, consistent with the cross-sectional analyses.

Moreover, our analyses revealed highly significant spatial autocorrelation among sampling locations in species richness (Moran's I = 0.230, p < 10 −15 ), Shannon diversity (Moran's I = 0.128, p < 10 −5 ), and Simpson diversity (Moran's I = 0.085, p = 0.001).

The differences in median PEN MICs were highly significant ( P < 1 × 10 −15 for all pair-wise comparisons by Mann-Whitney U test).

This striking decrease is highly significant (P < 10 −15 by the Wilcoxon rank sum test), and more than twice that observed for any other amino acid.

As previously noted, a larger proportion of pairs have a TMRCA under 8 months in Sheffield relative to London (24% versus 4%), and overall the London pairs have an average TMRCA of 4.4 years compared to 1.5 years for the Sheffield pairs, with the difference being highly significant (KWT, P < 1 × 10 −15 ).

The difference between means of A and B is highly significant ( P -value < 10 −15 ; two-sided Student's t -test).

The enrichment of functionally characterized sites within the group of AcP‐insensitive sites is highly significant ( p = 1e −15 , Fisher exact test).

There was a highly significant interaction for both DCV and FHV (Cox's mixed-effect models; DCV: χ 2 = 127.4, d.f. = 19, P <10 −15 ; FHV: χ 2 = 107.6, d.f. = 19, P <10 −14 ).

There was a highly significant overlap of 502 differential interactions between replicates ( P < 10 −15 , odds ratio of 5.25 for 224 increased interactions and 9.96 for 278 decreased interactions) ( Fig. 2B ).

We find a highly significant negative correlation between the two measures (linear regression: R 2 =0.34, P <10 –15 ), which is illustrated in Fig. 4 .

We have to reject the null hypothesis and this result is highly significant ( p < 10 −15 ).

Log-rank tests of both the P cohort versus the p cohort and the P cohort versus all deaths showed highly significant differences ( P <10 −15 and P <10 −6 , respectively), and the p cohort is also significantly different ( P =10 −3 ) from the cohort of all deaths.

The difference in LAMconcentration between the cases and controls was highly significant [ P < 1 × 10 −15 , n = 101, Wilcoxon signed-rank test; difference in location estimate, −247.318; 95% confidence interval (CI), −351.3 to 200.8; Fig. 3 ].

Our analysis of first round data indicates that while there was considerable diversity in the raw scores provided by individual participants, the inter-rater concordance was substantial and statistically highly significant (Kendall’s W=0.150, p-value < 10 −15 ).

At 2 hpi, highly significant ρ values of 0.68 ( P < 1.0 × 10 −15 ) and 0.67 ( P < 1.0 × 10 −15 ) were observed for the MAP-infected and control sample groups, respectively.

We also found that the interaction term was highly significant ( P < 10 −15 ), indicating that the effect of the HULK genes on flowering time was non-additive (i.e. epistasis was apparent).

4 ), and this difference is highly significant (Wilcoxon rank-sum test, P < 10 − 15 ).

This is clear from gene ontology (GO) analysis of the genes associated with HOT regions: Categories such as ‘metabolic process’ and ‘cellular component biogenesis’ are highly significant (both P < 10 −15 ).

The correlation between same stages in different data sets (PA and RZ), while moderate, is highly significant (p ≤10 −15 ), reflecting the representation of most transcripts in both types of libraries (Figure 1 d, Additional file 1 : Table S2).

In contrast, a robust and highly significant increase was found in the dopaminergic neurons of α-Syn zebrafish under identical conditions (α-Syn post-MPP + 1.73 ± 0.09; p < 10 −15 vs . baseline, 2-way ANOVA with Tukey multiple comparisons test; Fig. 5 E).

2c and Supplementary Data 2 ); pairwise comparisons were likewise highly significant ( n = 398 and 753, respectively, both p < 10 –15 ; Supplementary Fig. 4 ).

As further validation, we constructed a linear model with expression divergence as the dependent variable, and the 11 tested factors and d N as explanatory variables; d N remained highly significant in this analysis ( P < 10 − 15 ).