1 \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\begin{aligned} Y & = - 1361.23 + 47.44A + 61.81B + 35.33C \\ & \;\;\; + 8.93D - 0.21AB + 0.06AC + 0.057AD \\ & \;\;\; - 0.87BC - 1.82BD - 0.075CD - 8.70A^{2} \\ & \;\;\; - 1.32B^{2} - 0.25C^{2} - 0.03D^{2} \\ \end{aligned}$$\end{document} Variance analysis of the model coefficients (Table 5 ) indicated that the model is highly significant ( p < 0.0001), with a non-significant lack-of-fit term ( p = 0.125), suggesting a good fit between the model and the experimental data.
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longa extract when added to fluconazole, with a statistically highly significant difference (mean zone diameter = 31.94 ± 6.99, P-value < 0.0001).
To compare multiple independent groups, the Kruskal-Wallis test was used, which showed highly significant statistical differences ( p < 0.0001) for all the kinetic and morphological parameters studied.
Loss of p53 function produced a highly significant reduction in time to reach humane endpoints - median survival (Fig. 5D ; median 34.5 days vs 90 days; p < 0.0001).
While MEASSA’s performance advantage is most pronounced and highly significant (p ~ 1e-4) against simpler algorithms like SCA, GWO, and its predecessor ASSA, it also maintains a clear and statistically significant edge (p < 0.05) over its closest competitors, mJS and PSO-ACO, which show the smallest yet still definitive p-values (p ~ 1e-2 to 1e-3).
In contrast, there was a highly significant reduction in the percentage of w AlbB2-Dhaka mosquitoes with virus detected in legs and wings (52.4%, n = 21, Fisher’s Exact test, p < 0.0001) (Fig. 6 B).
This difference was highly significant ( p < 0.0001), indicating a significant enhancement in urinary function and overall quality of life in patients in the treatment group.
Two-tailed test of independence indicated that the associations between the mortality and PBO pre-exposure are highly significant (χ 2 = 134.104, df = 1, p < 0.0001).
An analysis of variance on the values of BSS for the locations and factors in the GxExM factorial combination showed that the factor ‘Location’ had a highly significant (p < 0.0001) effect on the BSS (Table 3 , and S1 ).
ANOVA results indicated a highly significant model, as demonstrated by an exceptionally high F-value of 644.09 and a low probability value (p-value < 0.0001), underscoring the reliability of the developed model (Table 5 ).
The model and coefficients were highly significant (model adjusted R-squared = 0.64, F-statistic = 69.74 on 9 and 334 DF, p < 0.0001).
able 4 : the coefficient of determination R 2 of the model is 0.9742, meaning the model can explain 97.42% of the adsorption rate variation, which is much higher than the fitting requirement of general regression models (usually R 2 ≥0.95 is considered excellent fitting); the synergistic results of extremely significant model P-value < 0.0001 and non-significant lack-of-fit term P = 0.4314 > 0.05 not only confirm that the model equation has extremely high statistical reliability within the experimental range, but also indicate that the model does not miss key influencing factors, which can effectively avoid the in
In contrast, compared to α IIb β 3 , both α v β 3 and α 5 β 1 reveal a highly significant reduction of overall contacts by ~10% ( p < 0.0001) (Fig.
There was a highly significant linear correlation between the pore density of B. spissa and B. subadvena from Peru, Costa Rica, and Sagami Bay (R 2 = 0.93, p < 0.0001, Fig. 4 b).
All inter-device correlations elicited a highly significant correlation with r-values of 0.72–0.86 (all p < 0.0001, Table 2 , Supplemental Figure S4).
The interaction between plasma treatment and salinity was highly significant ( P < 0.0001) across all GP parameters, highlighting the complex relationship between these two factors.
In contrast, the average tumor volume in MI-503 group was only 587.19 ± 240.69 mm 3 , highly significant smaller than that in vehicle group ( p < 0.0001) (Fig. 4 A).
Thus, the Multivariate Linear Equation (MLE) of LFI as a function of the experimental conditions of S, pH and TA/S, yields a highly significant fit (p << 0.0001) as seen in the comparison between the measured LFI and the calculated LFI (Fig. 2 ).
A highly significant negative correlation was found between each of the miRNAs 27b, 130b, and 138 on one side, and PPARγ expression levels on the other side (Spearman r = −0.6085, P < 0.0001, r = −0.6290, P < 0.0001, and r = −0.2831, P = 0.0021, respectively).
A one-way ANOVA test conducted across all transformer-based models yielded a highly significant result (F = 163, p < 0.0001), clearly indicating that model performance in terms of accuracy was not uniform.
Statistical significance was set at p < 0.05, with p < 0.001 indicating a highly significant result and p < 0.0001with highest significant.
Data mining – untargeted correlations There were a number of unpredicted and highly significant ( p < 10 −4 ) correlations between Biodex measures of muscle strength and intramuscular pH.
Irradiated samples treated with 5-ALA of 50 or 100 μg/ml showed highly significant ( p < 0.0001) reductions in cell viability compared to the irradiated 5-ALA-free controls, decreasing progressively with increasing light doses from 0 to 32 J/cm 2 .
A highly significant decrease ( P value = 0.0001) in the expressions of miRNA-106a and miRNA-20a was reported in COVID-19 patients compared to controls.
The analysis revealed a highly significant effect of sample source on Vibrio detection ( χ 2 = 38.78, df = 3, adjusted p < 0.0001).