A highly significant seasonal effect was observed for casein content, with summer samples showing higher concentrations (1.26 ± 0.14%) compared to autumn samples (1.04 ± 0.18%) ( p < 0.0001).
Excerpts
First, for all the descriptors, the panelist effect was highly significant ( p < 0.0001).
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).
A quadratic regression model (Equation (4)) was developed to relate the response variable to the independent factors. (4) Y = 67.75 + 0.96 A + 2.43 B − 0.34 C + 1.32 AB − 0.20 AC + 1.38 BC − 0.80 A 2 − 3.68 B 2 − 0.25 C 2 The developed model was highly significant ( p < 0.0001, Table 4 ).
As shown in Table 2 , the model selected by the test was highly significant ( p < 0.0001).
The superiority of BBSNet is statistically unequivocal, as confirmed by highly significant t -tests (all p -values < 0.0001) comparing its performance to each benchmark backbone.
A statistically highly significant difference was determined between the antimicrobial activity levels of the postbiotics produced by lactic acid bacteria (X 2 (2) = 178.472, p < 0.0001; Cramer’s V = 0.166).
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.
Statistical tests, including the likelihood ratio and Pearson chi-square, were highly significant ( p < 0.0001).
Correlation analyses ( Figure 1 ) further showed a highly significant negative correlation between pH and total acidity ( p < 0.0001), confirming their strong coupling throughout the distillation process.
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.
Household Food Analysis Households constitute the largest source of food waste, averaging 69.66 kg per capita, with highly significant country-level variation (Chi-square = 80.03; p < 0.0001).
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 data indicate that the regression model is highly significant ( p < 0.0001), while the error term is not significant ( p > 0.05).
The ANOVA results suggested that the model was highly significant ( p < 0.0001).
By day 5, inhibition of Alternaria alternate and Aspergillus niger was highly significant (**** p < 0.0001), and that of Penicillium sp. was also strongly significant (*** p < 0.001), underscoring the sustained efficacy of the microencapsulated formulation.
Although significant lack of fit was observed for some responses, the models were retained because they remained highly significant ( p < 0.0001) and exhibited satisfactory coefficients of determination and adjusted R 2 values.
The overall model was highly significant ( p < 0.0001), confirming that the selected factors collectively have a strong effect on DPPH activity.
In the case of examining the content of 5 elements in 10 types of nuts, the discrimination was highly significant (Wilks’ Lambda: 0.004, F = 29.995, p < 0.0001).
A highly significant ( p < 0.0001) increase in droplet size was detected for (F1) after 60 days of storage, increasing from 1099.0 ± 33.0 nm to 1609.0 ± 35.1 nm.
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.
The established regression model was highly significant ( p < 0.0001), the misfit term was not significant ( p > 0.05), and the correlation coefficient of the model, R 2 = 0.9909, and the corrected correlation coefficient, R 2 adj = 0.9791, indicated that the model was well fitted and the experimental error was small ( Table 2 ).
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).
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.
The F value of the model was 22.79, demonstrating that the regression model was extremely significant because of p < 0.0001 [ 25 ]; namely, the probability caused by noise was very small.