As shown in Table S10 , the model had F = 10.65 and was highly significant ( p < 0.0001), while the lack of fit was not significant ( p = 0.0652 > 0.05).
Excerpts
The model is extremely significant ( p < 0.0001) following the data processing and analysis, suggesting that the multiple regression equation accurately fits the experimental data and is statistically significant.
The model was highly significant ( p < 0.0001), with an F-value of 32.68, and the lack of fit was non-significant ( p = 0.3150), confirming the model’s adequacy.
Pearson’s correlation analysis ( n = 45) showed a powerful and highly significant positive correlation between daily As intake and the hazard index (r = 0.97, p < 0.0001), indicating that arsenic is the primary contributor to HI from the consumption of these dietary supplements.
As shown in Table 2 , the model selected by the test was highly significant ( p < 0.0001).
The AR(1) (−0.690582) and MA(2) (−2.00298) coefficients were also highly significant ( p < 0.0001), confirming the autoregressive structure of the model.
In all cases, the values of p were highly significant ( p < 0.0001).
Statistical tests, including the likelihood ratio and Pearson chi-square, were highly significant ( p < 0.0001).
Additionally, all interaction terms ( AB , AC , BC ) and quadratic terms ( A 2 , B 2 , C 2 ) were highly significant ( p < 0.0001).
Palmitic acid (C16:0) exhibited a highly significant diet effect ( p = 0.0001), with the highest levels in SBM compared with both RRC and FRC.
The results are shown in Table 5 , which shows that the model is highly significant ( p < 0.0001) and the lost proposal is not significant ( p > 0.05), indicating that the regression model is validly established.
Fer-1 demonstrated a marked restoration of cell viability with a highly significant statistical difference (F(3,8) = 59.18, p < 0.0001; Figure 2 D).
The regression model was highly significant ( p < 0.0001) and the lack of fit was not significant ( p = 0.1535 > 0.05), with a goodness of fit R 2 = 0.9879 and the difference between R 2 Adj and R 2 Pre being less than 0.2, indicating that the model had good fit.
The analysis also quantified the influence of parameters on TPPs yield through standardized coefficients: liquid-to-solid ratio (X 3 ) and ultrasonic temperature (X 4 ) were highly significant ( p < 0.0001), followed by ultrasonic time (X 1 ) ( p = 0.005) and ultrasonic power (X 2 ) ( p = 0.0049).
As shown in Table 4 , the model exhibited highly significant differences ( p < 0.0001), with the lack-of-fit term yielding a p of 0.3237 (>0.05).
The regression model was highly significant (F = 175.47, p < 0.0001), while the lack of fit was not significant ( p = 0.3775), indicating that the fitted quadratic model adequately described the experimental data.
Dynamics of Post-Ingestive Sensations A highly significant effect of time ( p ≤ 0.0001) was seen for all post-ingestive sensation variables across test meals: Energized (F = 18.45, p < 0.0001), Relaxation (F = 5.38, p < 0.0001), Concentration (F = 13.89, p < 0.0001), Sleepiness (F = 7.42, p < 0.0001), Fullness (F = 88.78, p < 0.0001), Hunger (F = 64.22, p
The difference was highly significant ( p < 0.0001).
Interestingly, changing the screw configuration resulted in highly significant changes in product temperature ( p < 0.0001) and in a less significant yet visible trend on SME (0.1 > p > 0.05).
It was 0.991 (187.545, p < 0.0001) for a* , with a highly significant effect of broccoli (246.62, p < 0.0001), IF (134.344, p < 0.0001) and BSG*IF (25.77, p = 0.004).
After regression analysis was performed, the quadratic polynomial regression equation describing the effects of CAR/GEL mass ratio (A), CS concentration (B), and GSA/CUR dosage (C) on the comprehensive score (Y) was obtained as follows: (11) Y = 0.66 − 0.041A + 0.019B + 0.036C + 0.061AB + 0.075AC + 0.027BC − 0.054A 2 − 0.091B 2 − 0.054C 2 Analysis of variance (ANOVA) for the response surface methodology (RSM) experiments ( Table 7 ) revealed the following: The regression model was highly significant ( p = 0.0002).
The Chao1 index showed highly significant differences among groups ( p = 0.00025), with the HFD group exhibiting markedly reduced microbial richness compared with the ND group.
The ANOVA Welch test demonstrated that there were highly significant differences between these total BA values ( Table 3 ), as expected ( p = 2.84 × 10 −4 ); such differences were largely explicable by those observed between the cheese and wine/vinegar product classifications investigated.
In particular, positions 2 and 3 show a pronounced decrease in the estimated latent score (approximately −0.76 and −1.34, respectively), both highly significant ( p = 3.6 × 10 −4 and p = 1.18 × 10 −7 ).
PERMANOVA comparisons between each plant-based analogue subcategory and its animal-based reference counterpart revealed highly significant differences across all categories ( p ≤ 0.0005). 3.3.