Excerpts

The genotype×broomrape race interaction was highly significant for TotAD ( F =3.17, P =2e-16), HeaAD ( F =2.96, P =2e-16), and NecAD ( F =3.63, P <2e-16) ( Supplementary Table S3 ).

The ANOVA test revealed that the prediction of fresh weight by the finalized model was highly significant ( p < 2e-16).

We obtained a highly significant interaction effect between hosts and isolates nested within each population for virulence (degrees of freedom = 1,540, F = 2.11, p < 2e −16 ) and reproduction (degrees of freedom = 1,540, F = 2.68, p < 2e −16 ).

The Cox regression p value for all these terms was found to be highly significant ( p < 2e−16).

For these comparisons, the two-sample proportion test is highly significant, p-value < 2 × 10 −16 ; Supplementary Table S2 .

This shift is highly significant compared with either the simulated random distribution ( p = 2 × 10 −16 ) or the distribution from the glucose-grown cells ( p = 2 × 10 −11 ; Wilcoxon rank sum test).

There was a highly significant difference in the distribution of heterozygous and AS-SNPs in these cells ( P < 2 × 10 −16 ), suggesting that most functional gene-regulatory elements are unique to a cell type and that only a small fraction is shared between two or more cell types.

When the DPPH activity of the extract and ascorbic acid were compared using an additional ANOVA test, the results showed a highly significant difference ( p -value < 2 × 10 −16 ).

In parallel, a linear model assessing the direct association between mean relative abundance and response demonstrated a highly significant positive effect (estimate = 0.30, P < 2.0e−16), with dataset terms again showing no significant influence (all P > 0.05), underscoring the robustness of abundance-based signals across cohorts.

An overall log‐rank test comparing survival curves across the eight groups defined by larval treatment, adult treatment, and sex showed highly significant differences (χ2 = 146, df = 7, p < 2e–16).

A model without interaction showed a highly significant effect of voxel on spectral quality ( Fig. 3 a ; F (1,79.12) = 183.73, p < 2 × 10 −16 ), with LO linewidth broader than EVC.

Statistical analysis using one-way ANOVA confirmed a highly significant effect of treatment on fungal growth (F(20, 42) = 56.52, p < 2 × 10 −16 ).

Of these 316 genes, 81.5% (256) were found in our original list, a highly significant overlap ( P < 2 × 10 -16 , Fisher's exact test), demonstrating the reproducibility of our methodology.

To statistically confirm the effectiveness of this discrimination, we also conducted an ANOVA test, which showed a highly significant separation among the groups (F 2, 117 = 355.6, p < 2e –16 ).

As for senior authorship, the difference between men and women was highly significant in both the 1999 (166 vs. 47, p = 2e-16), and in the 2009 cohort (188 vs. 115, p = 3e-5), but inspection of the absolute difference reveals that this difference is diminishing.

It behaved as a complete outlier, reducing the amount of DLK1 ~ 3-fold when compared to the average of the two negative controls, and this effect was highly significant (p = 2 × 10 -16 ) (Figure 1 B and see Additional file 2 : Table S2).

The categorical, as well as the smoothed fixed, effects were all highly significant ( p < 2 × 10 − 16 ).

Indeed, the fit of all points rather than of the medians were poor although the (anti-)correlation was highly significant (R 2 = 0.01, p < 2e −16 in both cases).

All p -values for the correlation coefficient are highly significant ( p -value < 2.0 × 10 −16 ).

Highly significant associations (log-rank test, P < 2 × 10 –16 ) for all three variables were observed, in the whole series and in the two subsets (Fig. 1 ).

The differences between transdifferentiation factors and all other TFs are highly significant (one-sided Kolmogorov-Smirnov (KS) test, expression p-value<2*10 −16 ; H3K27me3 p-value<2*10 −16 ).

We found that both RM and n sites had a highly significant effect (respectively, F 9,449 = 71, P < 2 × 10 −16 and F 1,449 = 103, P < 2 × 10 −16 ), and the interaction between RM and n sites was also significant ( F 9,449 = 8.99, P < 2 × 10 −16 ).

Finally, note that RRF was actually so fast at small chunk sizes that there was a significant overhead associated with our parallelization of the algorithm (Methods), as linear models fitted to only chunk sizes less than 200 were highly significant ( P <2.00×10 −16 ), with negative slopes (Fig. 1 b).

Consistent with previous research ( 34 , 35 ), the RSA model predictions closely resembled listeners’ behavior, with the regression of listeners’ actual choice frequencies against model predictions being highly significant at the group level ( r = 0.89, P < 2 × 10 −16 ; Fig. 2A ) and across listeners (logistic regression coefficient = 5.84 ± 0.17, t 40 = 34.24, P < 2 × 10 −16 ).

Distance to the sea is also highly significant (R 2 = 0.47, p <2e -16 for Tajima’s D).