“highly significant”

Results were annotated as follows: p < 0.05 (*; significant), p < 0.001 (**; highly significant), and p < 0.0001 (***; very highly significant).

This distribution turned out to be statistically highly significant (p<0.0001) and has many points in common with survival curves defining the Gompertz law, which describes the lifetime long pattern of acceleration and deceleration of mortality [ 50 , 51 ].

The ANOVA for the fitted response surface model ( Table 4 ) indicates a highly significant model (Model F = 285.13, p < 0.0001).

The cumulative analysis of all sites demonstrates that vaccination resulted in a highly significant reduction of the frequency of positive rated animals in the vaccinated group (59 out of 439, 13.4%) compared to the unvaccinated group (88 out of 270, 32.6%; p < 0.0001).

The difference in the two-sample test was highly significant ( P = 0.0001).

This difference was highly significant by the two-tailed t test ( P < 0.0001) for each of the two data sets.

As illustrated in Figure 1B , X 1 had a highly significant effect ( p < 0.0001), where TPs prepared using citral exhibited the largest PS compared to those containing menthol or cineole.

7 a, 8 a), each a greater overshoot than their respective control group: this difference was highly significant for IW ( t score = 9.51, p < 0.0001), but not for KS ( t score = 0.53, p = 0.26).

Differences between gray and white matter were highly significant (p < 0.0001), and epileptogenic zones showed significantly higher conductivity than healthy gray matter (p = 0.012), even when MRI was normal (p = 0.005).

The model was highly significant ( p < .0001) with two predictors.

All models were highly significant (likelihood ratio, core, and Wald P < 0.0001) presenting good fit and high prediction capabilities (c score = 0.739–0.82).

The combination between SCF and LRG1 showed highly significant difference in CRC patients compared with benign, healthy subjects, and among CRC groups (treated and non-treated) ( p < 0.0001).

All these final selected variables showed a highly significant negative relationship with the infection rate (p < 0.0001; Tmin r = − 0.25, AP r = − 0.23, RH r = − 0.21).

These results were highly significant ( p < 0.0001) compared to MT.

This observation is corroborated statistically by two-sided sign tests, revealing that the difference between agreement in case of voluntary and enforced implementation is highly significant for contact-tracing apps, vaccination, and contact limitations ( P < 0.0001) but insignificant for travel restrictions ( P = 0.622) and masks ( P = 0.389).

After adjustment of effect size for potential publication bias using the trim-and-fill correction, missing studies were imputed in the funnel plot, resulting in lower, albeit still highly significant estimate of pooled mean difference (adjusted = +4.7 ETDRS letters; CI 95%: +3.7; +5.7; p<0.0001).

Nevertheless, we detected strong highly significant correlations between manual scoring and automated quantification for our classifier ( R 2 = 0.98, p < 0.0001, n = 60) as well as CADABRA ( R 2 = 0.87, p < 0.0001, n = 59) (Fig. 1d ) showing that correlation analysis is not sufficient to evaluate assay performance.

This revealed a highly significant correlation with R 2 = 0.42 and P < 0.0001 (Figure 3c ).

The combination of red LED irradiation with the compounds resulted in a highly significant ( p < 0.0001), dose-dependent reduction in Leishmania promastigote survival compared to the negative control ( Figure 1 B 1 –B 4 ).

A highly significant difference was observed in relation to D5 to D6 implantated embryos (12.67±1.37 versus 19.86±1.89, p <0.0001) and in relation to D5 to D6 not implantated (12.76±1.17 versus 19.79±2.17, p <0001).

Statistical analysis disclosed a highly significant difference (ANOVA 1-way test, p < 0.0001) in the annual distribution of recorded cases over the 34 years.

When cross-tabulated, these data indicated highly significant difference in the incidence of smoking between males and females (P = 0.0001).

A highly significant association ( p < 0.0001) was observed between overweight/obesity, central obesity, and hypertension.

Results of three-way ANOVA showed that the difference in mortality was highly significant ( p ≤ 0.0001) for the main factors of the stage (adult ˃ larvae), dose (600-Gy ≈ 400-Gy ˃ 200-Gy), and exposure time (21-d = 14-d ˃ 7-d), and for all the interaction effects.

We then confirmed the intergroup similarity by the highly significant correlations for the normal and LPMC/F3 groups (within: R S = 0.87, n = 27, P < 0.0001; between: R S = 0.75, n = 64, P < 0.0001) ( Fig. 5 C ), as well as for the normal and extra groups (within: R S = 0.76, P < 0.0001; between: R S = 0.66, P < 0.0001) ( Fig. 5 D ).