In this case, the test statistics are highly significant (p = 0.0000).
Excerpts
ANOVA revealed a highly significant effect of cement content on UCS ( p = 0.000), confirming that strength development is strongly dependent on binder proportion.
Both factors are highly significant ( p = 0.000) with an explanatory power of 89% and 54%, respectively.
The ANOVA results for the Flexural Failure Load ( Y 1 ) indicated that the overall model is highly significant ( p -value = 0).
For viscosity–transparency relationships, ANOVA demonstrated a highly significant association (F = 244.94, p < 1 × 10 −84 , R 2 = 0.98), where viscosity nearly fully explained transparency differences—likely linked to enhanced molecular alignment or suppressed phase separation in high-viscosity systems—with a negligible C.V.
Moreover, surgical intervention occurred earlier in patients without osteolysis compared to patients with osteolysis (median 11.5 months compared to 72 months when duration since the primary prosthetic joint replacement was considered, and 2.5 versus 36 months since the last surgical intervention; the differences are highly significant with p = 1.2 × 10 −9 and p = 1.6 × 10 −13 , respectively).
For example, the mean temperature differences between the phantoms with and without magnetic nanoparticles were significant ( p < 0.02) for 10.3 W of acoustic power and highly significant for 5.8 W and 2.7 W ( p < 0.000002 and p < 0.0000005, respectively).
However, Filtek sealed in water shows a highly significant increase in roughness as early as 1 day ( p ≈ 5 × 10 −5 ) that continues at 7, 14 and 90 days.
The two-way interaction of the condition and the surface was also highly significant ( p -value < 0.0001), indicating that polishing increased the microhardness values at the top and the bottom surface.
According to the ANOVA results, the quadratic polynomial regression models for all five mechanical property indices were highly significant ( p -value < 0.0001).
ANOVA demonstrates all three models were found to be highly significant ( p < 0.0001), with large F-values of 40.86, 79.51, and 165.77 for 7 days, 28 days, and 91 days, respectively, indicating strong correlations between the selected input factors and the responses.
ANOVA showed the existence of highly significant differences between groups (p < 0.0001).
The ANOVA results confirm that the model was highly significant, with F = 811.92 and p < 0.0001.
The model is statistically highly significant ( p < 0.0001) and demonstrates excellent predictive capability.
As presented in Table 7 , the ANOVA results indicate that the factors of models A, B, C, D, AC, BC, BD, CD, A 2 , B 2 , and C 2 are D 2 < 0.05 (at the 95% confidence level, p < 0.05 was considered statistically significant and p < 0.0001 was considered statistically highly significant) [ 14 , 20 , 21 ], indicating that the effects of the nitric acid concentration, leaching temperature, liquid–solid ratio, total pressure, as well as the interactions between these factors and their squared effects on the vanadium leaching efficiency were significant.
As shown, the models were overall highly significant ( p < 0.0001) with no significant lack of fit ( p > 0.05).
The analysis of variance (ANOVA) showed that there was a highly significant within-group difference among mouse fibroblasts viability at the different concentrations ( p < 0.0001) for both solutions.
Low- and High-Temperature Effects The Fraass fragility point determination revealed highly significant ( p < 0.0001) effects of HS and WS, in both control and short-term aging, on low temperature performance.
Among the factors analyzed, A, B, C, AB, A 2 , B 2 , and C 2 were highly significant ( p < 0.0001), while BC and D 2 were significant ( p < 0.05).
The statistical evaluation of compressive strength results, using one-way ANOVA ( Table 7 ), showed a highly significant effect of the mixture composition on mechanical performance (F = 28.83, p < 0.0001).
A highly significant difference in the surface roughness for the TiT group in compare to the TiM and Zr groups for all parameters ( p < 0.0001). 3.2.
Between-group differences were statistically significant from early time points ( p < 0.01) and became highly significant at 6, 9 and 12 months ( p < 0.0001; Figure 1 A). 3.5.2.
Two-way ANOVA confirmed that both aging conditions and application mode exerted highly significant effects on μTBS ( p < 0.0001).
The ANOVA results indicate that the selected model was highly significant ( p < 0.0001), while the lack-of-fit term was not significant ( p > 0.05).
While tool rotation speed alone did not emerge as a significant factor ( p = 0.0885), suggesting a nuanced influence on UTS, its quadratic term was highly significant ( p < 0.0001), indicating a complex, nonlinear relationship with UTS.