“highly significant”

The level of significance was set at p = 0.05 ( p ≤ 0.05—significant, p ≤ 0.01—highly significant, p ≤ 0.0001—very highly significant).

Statistical analysis via two-way ANOVA followed by Dunnett’s multiple comparisons test confirmed the significance of these observations ( P < 0.05), with highly significant differences (**** P < 0.0001) between controls and bacterial treatments in arsenate conditions.

However, comparing adherence trends in the subsamples with comorbid ADHD (n = 117) and without ADHD (n = 62) showed that the association between younger age and poor adherence was highly significant in the subsample with ADHD (OR = 0.57, 95% CI 0.45-0.73, p < .0001) and nonsignificant in the subsample without ADHD (OR = 1.08, 95% CI 0.80-1.47, p = .6).

Indeed, there was a highly significant correlation among hair δ 13 C and δ 15 N values of all individual hair observations ( r = 0.475, n = 684, P < 0.0001), consistent with the concept that proteins contributing to an individual’s diet were largely a mixture of just two primary sources: C 3 -plant protein and C 4 -derived animal protein.

Analysis of Variance The results of analysis of variance showed highly significant ( p < 0.0001) difference for all the measured traits ( Table 2 ).

The difference in frequency of positivity between S1 and S2 was highly significant ( P -value < 0.0001).

The effect of coating (B-S, M-S, F-S, P-S), test substrate (glass or OTS-SAM coated glass) and treatment conditions (air or water) was highly significant (df = 16, F = 22.7982, p ≤ 0.0001*) as were many of the interactions, including the three-way interaction of coating*surface*treatment ( SI Text, section 3, Table S4 ).

HR exhibited a highly significant difference ( p < 0.0001) between Phase 4 (90.6 ± 11.8) and Phase 6 (82.4 ± 14.6).

This applies to all types of service, and each of these observed differences between the countries is highly significant ( p < 0.0001 according to both Kruskal-Wallis test and Mann-Whitney U -test).

3 F) compared to non-demented control brains, such that a highly significant negative correlation between ACAN+ PNNs and Thio-S+ plaques was observed across unaffected and diseased tissue samples (Spearman's r =−0.49, p <0.0001; Fig. 3 G).

The developed models were highly significant at probability level of P = 0.0001 and multiple correlation co-efficient (R 2 ) was 0.9563 for cellulase, 0.9532 for xylanase and 0.9780 for ligninase.

Consistent with this, analysis of data obtained from the Cancer Cell Line Encyclopedia [ 28 ] ( http://www.broadinstitute.org/ccle/home ) of 47 colon cancer cell lines for mRNA expression reported as a robust multi-array average (RMA) of CDCP1 and CD9 showed a highly significant positive correlation (p = 0.0001) between CDCP1 and CD9 mRNA expression by Pearson correlation analysis (Figure 2 D).

Associations between stiffness indices (MSF% and IRS) and histopathological grade of liver fibrosis were highly significant, too ( r = 0.75; p < 0.0001 for both parameters).

As shown in Table 5 , the model was highly significant ( P < 0.0001), and the lack of fit was not significant ( P = 0.2434 > 0.05), indicating the model was able to predict the content of saponins under any combination of values of the variables.

For both samples, correlation was highly significant (sample 2: r s = 0.99, P > 0.0001; sample 3: r s = 0.99; P < 0.0001).

The results from the ANOVA table revealed that the model was highly significant (P < 0.0001), while the lack of fit of each model was not significant (P > 0.05) revealing that the model adequately described the relationship between the independent variables (extraction time, solid to solvent ratio, % NADES content and amplitudes) and the dependent variables (TPC and DPPH).

The methylation differences between samples are highly significant (Wilcoxon rank test P < 0.0001).

There was a strong and highly significant correlation between NETest values in two separate blood samples collected at the same time point in patients with SINENs ( r = 0.98, p < 0.0001) (Fig. 1d ).

The rectification index for cells from normal eyes was 0.97 ± 0.04 ( n = 14) compared to 0.52 ± 0.03 in retinas from HT eyes ( n = 13), a highly significant difference ( p < 0.0001).

Patients with both gallbladder polyps and cholecystolithiasis were, on average, 15.1 years older than those with polyps alone, a difference that was highly significant (mean ± SD: 69.2 ± 10.7 vs. 54.0 ± 13.6 years; p < 0.0001).

Similarly, Figure 4C,4D presents the analysis results of the entire TCGA dataset, showing highly significant differences in survival between the low- and high-risk groups (P<0.0001), consistent with previous results.

In the larger cohort, ATL reductions remained highly significant ( p < 0.0001), further validating the potential of this metric as a treatment-responsive parameter.

The results indicated that two methods are linearly correlated and this correlation was highly significant ( r 2 = 0.9999, p < 0.0001) as shown in Fig. 1 d.

We found a weak (Spearman's coefficient, r = 0.4) but highly significant ( p =0.0001) correlation between the PCR and EZN staining results.

The criterion for significance was set as p < 0.05, and highly significant differences in the statistics were accepted if p < 0.0001.