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 ).
Excerpts
In particular, in 10-fold cross-validation experiments on held-out genes, we obtained a mean Spearman rank correlation between predicted and measured gene expression changes of 0.174, a modest but highly significant result ( P <2e−16), shown in Figure 2A .
The microbial alpha diversity was significantly increased in gastric tumor compared with non-tumor tissues in three datasets P1, P3, and P4, with the exception of P2 which showed an opposite trend ( Figure S3A ), while the remaining datasets showed non-significant differences, resulting in a highly significant global Analysis of Variance (ANOVA; F -statistics: P < 2E−16) but a non-significant overall pairwise comparison ( P = 0.19).
Phrase duration of female response songs differed highly significant among the five groups of females (ANOVA F 4,71 = 52.7, p = 2 × 10 −16 ).
The effect of mammalian molecular evolutionary rate was highly significant ( p < 2 × 10 −16 , Table 1 ).
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.
The Fligner–Killeen test of homogeneity of variances is also highly significant ( p < 2 × 10 −16 ) between ht-UtLM6 and CR-LM6.
The enrichment of TEs at species-specific binding sites were highly significant both with a chi-square test (Hs χ 2 = 142.8, Mm χ 2 = 131.4, both p < 2e −16 ) and with permutation tests (n = 10,000, p < 1e −5 ) ( Fig 5A ).
Statistical analysis via disk diffusion assays revealed highly significant differences in inhibition zone diameters among microorganisms ( p < 2 × 10 −16 ).
AHRR also showed highly significant hypomethylation ( p < 2 × 10 −16 ) ( Figure 4 I), confirming its consistent pattern of methylation loss across both lung cancer subtypes.
Distance to the sea is also highly significant (R 2 = 0.47, p <2e -16 for Tajima’s D).
We observed a highly significant difference from the expected equal distribution (χ2 = 83.143, df = 3, p < 2 × 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 ).
Smooth terms for latitude and longitude were highly significant (p < 2 × 10−16), further confirming the spatial structure of life expectancy outcomes.
Although, the correlation was highly significant ( p < 2e-16), the R2 of only 0.57 shows a low predictive power.
Specifically, comparisons between the ≥5-year group and both the 3–4-year and 0–2-year groups were highly significant (both p < 2 × 10 −16 ), as was the comparison between the 3–4-year and 0–2-year groups ( p = 0.0037).
This highly significant relationship ( p = 2e−16), with a slope of 2.37 ± 0.05 (Fig. 6 ).
We found highly significant differences ( p < 2 e - 16 ) between most cluster pairs at K = 5, except clusters 2 and 5 ( p ≈ 1 ) and clusters 2 and 3 ( p = 1.2 e - 09 ).
The fit of the mortality data using the survival function (with interaction) of the Cox analysis showed that both covariates (temperature and exposure times) were highly significant, as well as their interaction, in determining the mortality level (Concordance = 0.872 (se = 0.015), Likelihood ratio test = 295.9 on 3 df, p ≤ 2e-16, Wald test = 276 on 3 df, p ≤ 2e-16, and Score (logrank) test = 447.6 on 3 df, p ≤ 2e-16).
The analysis of variance showed a highly significant effect of genotypes ( p < 2 × 10 −16 ) (Table S4 ).
Data analysis showed a highly significant reduction of the average CpG methylation levels from 13.8% in control animals to 8.3% in KD samples over sixteen million mapped CpGs ( p < 2e-16, Wilcoxon rank sum test; Fig. 4a ).
3 ), with a highly significant genotype effect ( p -value < 2 × 10 −16 ).
There was a highly significant difference between the sensitivity groups ( p < 2e−16) but not between P. cactorum isolates ( p = 0.2046; Table S6 ).
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.
The effect of time alone was highly significant (P< 2 × 10 -16 , 99.999% CI), though genotype-time interaction was not statistically significant (P = 0.4904, 5% CI) ( Figure 5C ).