The Wilks’ lambda value (0.0000) indicates that the three discriminant functions were highly significant ( p = 0.0000), meaning there was 0% unexplained (see Supplementary SDA Tables ).
Excerpts
The results show a highly significant effect of the storage time on weight loss (ANOVA, F 6, 209 = 57.64, p = 0.000), moisture content of fruits (ANOVA, F 6, 209 = 36.96, p = 0.000), mass of fruits (ANOVA, F 6, 209 = 2.33, p = 0.034), firmness of fruits (ANOVA, F 6, 209 = 7.41, p = 0.000), sphericity of fruits (ANOVA, F 6, 209 = 11.93,
After applying the first difference, all variables display strong evidence of stationarity, with all four test statistics highly significant ( p -values = 0.00). 4.2.
The Wilks’ lambda value (0.116) indicated that the two discriminant functions were highly significant ( p < 0.0000), meaning that 11.6% remained unexplained (see Supplementary SDA Tables ).
The lowest C22 value was found in the fifth sampling of Itrana (0.14 mg/kg), whereas the very highly significant highest value ( p = 0.000) was in the fourth sampling of Sinopolese (16.93 mg/kg) which showed a different alkane profile with respect to the other studied cultivars ( Table S2 ).
As expected, the culinary oil x time-point first-order interaction effect was also extremely significant for all oils tested ( p < 10 −50 to <10 −18 ), and this ratifies the contrasting responses of each oil type to increasing LSSFE lengths; for example, differential rates and extents PUFA losses from soybean/corn oils and extra-virgin olive/avocado oils ( Figure S1b ), and likewise the contrasting elevations and reductions in oil MUFA contents for these two groups respectively ( Figure S1a ).
The statistical analysis showed a highly significant evolution of the sugar ( p < 2 × 10 −16 ) and starch ( p < 1.339 × 10 −5 ) curves in function of the reaction time.
Conversely, the variety has a very highly significant effect ( p = 9 × 10 −13 ) on the intercepts of these relationships.
The Rao & Scott-adjusted Pearson chi-square test indicated a highly significant effect of age on food purchases driven by security needs (food stocks), F [6.67; 7068.99] = 6.28, p = 4.04 × 10 −7 .
Specifically, its intercept was highly significant ( p = 9.32 × 10 −7 ).
Variance analysis of the response surface revealed that the significance of the TFC was influenced by the percentage of ethanol, which was extremely significant ( p < 0.0000014).
A highly significant sessional variation ( p < 0.00001) was pointed out.
The results presented in Table 3 showed a highly significant ( p value = 0.00005, detection limit of the method being approximately 1 log CFU, CI-95%, 1.85, 2.77) log reduction (2.31) in microbial load after wiping the meat surface with the developed DW (count before treatment—5.48 log CFU/cm 2 ; after treatment—3.17 CFU/cm 2 ).
First, the sucrose concentration decreases in a very highly significant way ( p < 0.0001) over time (from 57.4 g/L ± 0.09 at D0 to 25.2 ± 2.85 g/L at D14), with a highly significant decrease ( p < 0.01) in sucrose content between D7 (44.2 ± 3.92 g/L) and D11 (24.9 ± 2.22 g/L).
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.
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 model showed that X 2 , X 3 , X 1 2 and X 2 2 had a significant effect on the tyrosinase-inhibiting activity ( p < 0.05) and that X 3 2 had an extremely significant effect on the same ( p < 0.0001).
Statistical tests, including the likelihood ratio and Pearson chi-square, were highly significant ( p < 0.0001).
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).
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.
This approach allowed for the identification of the individual and interactive influence of each variable on the response, providing a predictive model to optimize the formulation, as shown: ST red = 31.291 + 0.134A − 0.519B + 0.154C + 3.409D − 1.149AB + 0.595AC + 1.810AD − 1.433BC − 1.981BD + 0.766CD − 0.316A 2 + 0.065B 2 + 0.102C 2 − 0.597D 2 , (7) The analysis of variance (ANOVA) for the quadratic model of surface tension reduction (ST red ) is presented in Table 3 and revealed that the model was highly significant, with an F-value of 14.78 and p < 0.0001, indicating a strong fit to the experimental data.
The results for fatty acids (FAs) revealed that the differences in polyunsaturated fatty acids (PUFAs) were all highly significant ( p -value < 0.0001), especially for the MMS breed, where the content of PUFAs in the L and G muscle amounted to (14.86 ± 2.06) g/100 g and (14.64 ± 2.83) g/100 g, respectively, which were significantly higher than those of other breeds.
In all cases, the values of p were 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.
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).