## 3 Results
### Analysis of Lateral Jump Dynamics  
Kinematic analysis of the pre- and post-tests was conducted for lateral jumps (using the left and right foot) in both the experimental and control groups. This analysis included measurements of jump distance, horizontal ground reaction force (H-GRF), vertical ground reaction force (V-GRF), rear-ground reaction force (R-GRF), and time to peak rate of force (T-PRF, \(\theta\)). After 12 weeks of PT, all the parameters of the experimental group, except for T-PRF (\(\theta\)), were superior to those of the control group. The two-way mixed ANOVA showed that the F-values were all significantly different (\(p<0.05\)). Next, the size of the effects of the independent variable (experimental group and control group) on the dependent variables (jump distance, H-GRF, V-GRF, R-GRF, and T-PRF) were explored. The results showed that, except for the T-PRF (\(\theta\)) of the left and right feet, all the measures showed large effect sizes, with \(\eta^{2}\) ranging from 0.209 to 0.761, as shown in Table 4.  
The average values of the lateral jump's T-PRF (\(\theta\)) across the four repetitions ranged from 66.1 to 66.8 degrees, with no significant difference. This indicated that the lateral take-off angles for both the left and right feet of all the participants were approximately distributed around 66.4 \(\pm\) 0.4 degrees. Additionally, there was a significant difference in jump distance between the experimental group and the control group. This was mainly due to the increased horizontal force in lateral jumps of the lower limbs in the experimental group after undergoing PT, which also increased the R-GRF. Finally, the lack of significant difference in T-PRF (\(\theta\)) between the experimental group and the control group can be explained by the formula for calculating tan\(\theta\) (tan\(\theta\) = V-GRF/H-GRF). Although the posterior H-GRF and V-GRF increased in the experimental group, the calculated angle \(\theta\) showed no significant difference. The above results confirm that 12 weeks of PT (PT) significantly improved the lateral jumping ability of the college-level male basketball athletes in the experimental group.  
\begin{table}
\begin{tabular}{l c c c c c c} \hline \hline \multirow{2}{*}{**Parameter**} & \multicolumn{2}{c}{**EG (\(\mu\) = 15)**} & \multicolumn{2}{c}{**CG (\(\mu\) = 15)**} & \multirow{2}{*}{**FG-Value**} & \multirow{2}{*}{\(p\)-Value**} & \multirow{2}{*}{\(\eta^{2}\)} \\  & \multicolumn{2}{c}{**M \(\pm\) SD**} & & **M \(\pm\) SD** & & \\ \hline RFD (N/s) & & & & & \\  & Pre & 8060 \(\pm\) 580 & 8066 \(\pm\) 624 & & & \\  & Post & 9115 \(\pm\) 629 & 8070 \(\pm\) 542 & & & \\ \hline GRF (N) & & & & & \\  & Pre & 1956 \(\pm\) 222 & 1952 \(\pm\) 301 & & & \\  & Post & 2119 \(\pm\) 263 & 1958 \(\pm\) 301 & & & \\ \hline Duration of & & & & & & \\ passage (s) & & & & & & \\  & Pre & 0.48 \(\pm\) 0.04 & 0.47 \(\pm\) 0.03 & & & \\  & Post & 0.59 \(\pm\) 0.03 & 0.46 \(\pm\) 0.06 & & & \\ \hline Jump height (m) & & & & & & \\  & Pre & 0.44 \(\pm\) 0.06 & 0.43 \(\pm\) 0.06 & & & \\  & Post & 0.58 \(\pm\) 0.03 & 0.44 \(\pm\) 0.06 & & & \\ \hline \hline \end{tabular} \(\mathrm{EG}\) denotes the experimental group, while CG denotes the control group. The rate of force development is referred to as RFD (r), the ground reaction forces are represented as GRF (N), and the duration of passage is measured in seconds (symbolized as s). The data are presented as the mean \(\pm\) standard deviation (M \(\pm\) SD), and were statistically analyzed using an F-test, with a significance level set at \({}^{*}p<0.05\).  
\end{table}
Table 3: Analysis of kinetic parameters of vertical jump.