## 3 Results
### Validation
Based on [PERSON]'s criterion (0.1 = small; 0.3 = medium; 0.5 = large) for the effect size of the correlation, a strong positive correlation between the results of the standardized tests of non-reactive agility (the \(t\)-test and the Sprint 9-3-6-3-9 m with 180\({}^{\circ}\) Turns test) and the results on the LA, UN, FR, SC tests, with coefficient correlations which ranged from r = 0.936 to r = 0.987, which was confirmed by [PERSON]'s linear correlation analysis (Table 6). The results of the canonical discriminant analysis are shown in Table 7. They indicate a high value of the canonical correlation (0.821), and refer to the correlation of the group of applied data based on which the discriminant analysis was carried out. The discriminant analysis coefficient (Wilks's Lambda) has a value of 0.326. In addition, [PERSON]'s coefficient of concordance indicates a high level of statistical significance (\(p\) = 0.000) and has a maximum value of (W = 1), as shown in Table 8. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline  & **Variables** & **Agility \(t\)-Test** & **9-3-6-3-9** & **FR** & **UN** & **LA** & **SC** \\ \cline{2-7} Agility \(t\)-test & Pearson’s Correlation & **1** & **0.970 \({}^{**}\)** & **0.948 \({}^{**}\)** & **0.936 \({}^{**}\)** & **0.969 \({}^{**}\)** & **0.973 \({}^{**}\)** \\ \cline{2-7}  & Sig. (2-tailed) & & 0.000 & 0.000 & 0.000 & 0.000 & 0.000 \\ \hline  & Pearson’s Correlation & **0.970 \({}^{**}\)** & **1** & **0.956 \({}^{**}\)** & **0.962 \({}^{**}\)** & **0.987 \({}^{**}\)** & **0.982 \({}^{**}\)** \\ \cline{2-7}  & Sig. (2-tailed) & 0.000 & & 0.000 & 0.000 & 0.000 & 0.000 \\ \cline{2-7}  & Sig. (2-tailed) & 0.000 & & 0.000 & 0.000 & 0.000 & 0.000 \\ \hline  & Pearson’s Correlation & **0.948 \({}^{**}\)** & **0.956 \({}^{**}\)** & **1** & **0.983 \({}^{**}\)** & **0.949 \({}^{**}\)** & **0.985 \({}^{**}\)** \\ \cline{2-7}  & Sig. (2-tailed) & 0.000 & 0.000 & & 0.000 & 0.000 & 0.000 \\ \hline  & Pearson’s Correlation & **0.936 \({}^{**}\)** & **0.962 \({}^{**}\)** & **0.983 \({}^{**}\)** & **1** & **0.958 \({}^{**}\)** & **0.987 \({}^{**}\)** \\ \cline{2-7}  & Sig. (2-tailed) & 0.000 & 0.000 & 0.000 & & 0.000 & 0.000 \\ \hline  & Pearson’s Correlation & **0.969 \({}^{**}\)** & **0.987 \({}^{**}\)** & **0.949 \({}^{**}\)** & **0.958 \({}^{**}\)** & **1** & **0.977 \({}^{**}\)** \\ \cline{2-7}  & Sig. (2-tailed) & 0.000 & 0.000 & 0.000 & 0.000 & 0.000 \\ \hline  & Pearson’s Correlation & **0.973 \({}^{**}\)** & **0.982 \({}^{**}\)** & **0.985 \({}^{**}\)** & **0.987 \({}^{**}\)** & **0.977 \({}^{**}\)** & 1 \\ \cline{2-7}  & Sig. (2-tailed) & 0.000 & 0.000 & 0.000 & 0.000 & 0.000 & \\ \hline  & \multicolumn{6}{c}{**“–Correlation is significant at the 0.01 level (2-tailed); FR—non-reactive frontal agility; LA—non-reactive lateral agility; SC—non-reactive semicircular agility; UN—non-reactive universal agility; Sig—level of statistical significance.**} \\ \end{tabular}
\end{table} 
Table 6: Results of [PERSON]’s linear correlation analysis of the applied non-reactive agility. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Variables** & **HPA (Mean \(\pm\) SD)** & **LPA (Mean \(\pm\) SD)** & **Sig.** \\ \hline FR & 13.706 \(\pm\) 0.636 & 14.834 \(\pm\) 0.475 & **0.005** \\ \hline UN & 11.526 \(\pm\) 0.549 & 12.440 \(\pm\) 0.296 & **0.004** \\ \hline LA & 9.782 \(\pm\) 0.353 & 10.531 \(\pm\) 0.244 & **0.001** \\ \hline SC & 14.844 \(\pm\) 0.657 & 16.164 \(\pm\) 0.471 & **0.002** \\ \hline \hline \end{tabular}  
* FR—non-reactive frontal agility; LA—non-reactive lateral agility; SC—non-reactive semicircular agility; UN—non-reactive universal agility; Sig—level of statistical significance; Mean \(\pm\) SD—arithmetic mean \(\pm\) standard deviation.  
\end{table} 
Table 5: Differences between the HPA (n = 5) and LPA (n = 7) groups of participants in non-reactive agility tests using the \(t\)-test for independent samples.