## 3 Results  
The results of the tests described in this study are shown in Table 1.  
The time in Y-shaped agility test significantly correlated with the time in the 20-m-long sprint, time in the 505 Agility test, and RSI in the drop jump test (r = 0.777, r = 0.770, and r = \(-\)0.755, respectively). A negative correlation means that a higher RSI resulted in a shorter agility time in the Y-shaped agility test. All correlation coefficients are shown in Table 2.  
Further analysis was provided using the parameters which significantly correlated with the time in Y-shaped agility test. The values for the 20-m-long sprint time, time for the 505 Agility test, and RSI in the drop jump test significantly correlated with each other (r = 0.813, r = \(-\)0.837, and r = \(-\)0.906, respectively). Furthermore, the time in the 20-m-long sprint significantly correlated with time in the 5-m-long sprint and squat jump height (r = 0.914 and r = \(-\)0.809, respectively) tests. Time in the 505 Agility test significantly correlated with both time in the 5-m-long and 20-m-long sprint (r = 0.813 and r = 0.787, respectively) tests, while the RSI in the drop jump test significantly correlated with the squat jump height (r = 0.844) (Table 3). \begin{table}
\begin{tabular}{c c} \hline \hline
**Test** & **Mean \(\pm\) SD** \\ \hline Simple reaction time & \(315\pm 19.6\) \\ \hline Choice reaction time & \(409\pm 18.9\) \\ \hline Reaction time to fast generated visual stimuli & \(10.3\pm 0.5\) \\ \hline Time in the Y-shaped agility test & \(2.0\pm 0.1\) \\ \hline Time in the reactive agility test (RAT) & \(40.2\pm 2.3\) \\ \hline Squat jump height & \(29.6\pm 4.1\) \\ \hline Countermovement jump height & \(34.9\pm 5.4\) \\ \hline RSI in a drop jump test & \(1.5\pm 0.4\) \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Descriptive statistics of handball player test performance. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Y-Shaped Agility Test** & **R** & \(P\) & \(\mathbf{R^{2}}\) \\ \hline Simple reaction time & \(0.125\) & \(0.789\) & \(0.016\) \\ \hline Choice reaction time & \(0.107\) & \(0.819\) & \(0.011\) \\ \hline Reaction time to fast generating visual stimuli & \(0.062\) & \(0.895\) & \(0.004\) \\ \hline Time in 5 m sprint & \(0.665\) & \(0.103\) & \(0.442\) \\ \hline Time in 20 m sprint & \(0.777\) & \(0.040\) & \(0.604\) \\ \hline Time in the 505 Agility test & \(0.770\) & \(0.043\) & \(0.593\) \\ \hline Squat jump height & \(-0.608\) & \(0.148\) & \(0.370\) \\ \hline Countermovement jump height & \(-0.540\) & \(0.210\) & \(0.292\) \\ \hline RSI in the drop jump test & \(-0.755\) & \(0.0499\) & \(0.570\) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Relationship between Y-shaped agility test performance and the sprint speed and strength parameters. \begin{table}
\begin{tabular}{c c c c} \hline \hline  & **505 Agility Test** & **Sprint (20 m)** & **Sprint (5 m)** & **RSI in the Drop** \\  & & & **Jump Test** & **Squat Jump Height** \\ \hline \multicolumn{4}{c}{505 Agility test} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \multicolumn{4}{c}{} \\ \hline \end{tabular}
\end{table} 
Table 3: Relationships between sprint and strength parameters in handball players. Based on these findings, the hierarchical structure of the first- and second-order factors determining the Y-shaped agility test performance in handball players was determined (Figure 1).