Barely Significant

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highly significantp -value < 2 × 10 −160.0× alphaqualifiedgold
The analysis of variance (ANOVA) results (Supplementary Data 1 –Table B 3 ) showed a highly significant effect of landmarks on measurement variance ( p -value < 2 × 10 −16 ); however, no significant effect of the operator ( p -value = 1.00) or the interaction between landmark and operator was observed ( p -value = 0.968).
highly significantP < 2e-160.0× alphaqualifiedgold
Thus, although the number of substitutions in a partition is a highly significant ( P < 2e-16) predictor of passing or failing any of the tests, that it explains only about a quarter of the variation suggests that other factors, such as underlying differences in the extent to which partitions violate the SRH assumptions, are driving the remaining ∼75% of the variation.
highly significantP < 2.0e−160.0× alphaqualifiedgold
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.
highly significantP < 2E−160.0× alphaqualifiedgold
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).
highly significantP < 2E−160.0× alphaqualifiedgold
One interesting example is glycan 5402, which had a small positive correlation (PPMCC 0.28) with A1AT’s serum concentration when present at site A1AT site 70 ( P = 0.006) but had a strong highly significant negative correlation (PPMCC -0.81) with the serum concentration of A1AT when present at A1AT site 271 ( P < 2E−16) (Fig. 2 F).