# Kinematic Analysis of Short and Long Services in Table Tennis
## 2 Materials and Methods
### The Statistical Procedures
\begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & \multicolumn{4}{c}{**ShS**} & \multicolumn{4}{c}{**LoS**} & \multicolumn{4}{c}{**\(p\)-**} & \multicolumn{1}{c}{**Cohen’s**} & \multicolumn{1}{c}{**Power (1-b)**} \\ \cline{2-10}
**Joint Movement** & **Median** & **Quantile Range** & **Coef. Var.** **(\%)** & **Median** & **Quantile Range** & **Coef. Var.** **(\%)** & **Value** & **Cohen’s** & **Power (1-b)** \\ \hline Shoulder Flexion (RT) & \(-44.00\) & \(264.00\) & \(2419.00\) & \(28.00\) & \(400.00\) & \(316.40\) & \(0.02\) & \(-0.21\) & \(0.90\) \\ Shoulder Abduction (RT) & \(122.00\) & \(102.00\) & \(125.50\) & \(62.00\) & \(220.00\) & \(292.30\) & \(\leq\)\(0.01\) & \(0.35\) & \(0.78\) \\ Shoulder Rotation Ext (RT) & \(-442.00\) & \(210.00\) & \(-34.30\) & \(-700.00\) & \(166.00\) & \(-30.90\) & \(\leq\)\(0.01\) & \(1.36\) & \(0.00\) \\ Elbow Flexion (RT) & \(8.00\) & \(204.00\) & \(-1781.40\) & \(231.00\) & \(224.00\) & \(79.30\) & \(\leq\)\(0.01\) & \(-1.04\) & \(0.04\) \\ Wrist Supination (RT) & \(-76.00\) & \(174.00\) & \(-135.30\) & \(-23.00\) & \(198.00\) & \(-283.60\) & \(\leq\)\(0.01\) & \(-0.28\) & \(0.84\) \\ Thoracic Flexion & \(20.00\) & \(34.00\) & \(101.90\) & \(36.00\) & \(44.00\) & \(91.30\) & \(\leq\)\(0.01\) & \(-0.41\) & \(0.71\) \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Angular velocity values (in deg/s) during Cont event. Differences are significant when \(p\leq 0.05\). \begin{table}
\begin{tabular}{c c c c c c c c c c} \hline \hline  & \multicolumn{4}{c}{**ShS**} & \multicolumn{4}{c}{**LoS**} & \multicolumn{4}{c}{**\(p\)-**} & \multicolumn{1}{c}{**Cohen’s**} & \multicolumn{1}{c}{**Power (1-b)**} \\ \cline{2-10}
**Joint Movement** & **Median** & **Quantile Range** & **Coef. Var.** **(\%)** & **Median** & **Quantile Range** & **Coef. Var.** **(\%)** & **Value** & **Cohen’s** & **Power (1-b)** \\ \hline Shoulder Total Flexion (LT) & \(-52.00\) & \(89.00\) & \(-102.20\) & \(-30.00\) & \(75.00\) & \(-164.20\) & \(0.01\) & \(-0.27\) & \(0.86\) \\ Shoulder Flexion (RT) & \(15.00\) & \(139.00\) & \(538.40\) & \(-16.00\) & \(153.00\) & \(-503.80\) & \(0.01\) & \(0.21\) & \(0.90\) \\ Elbow Flexion (RT) & \(-8.00\) & \(85.00\) & \(-283.40\) & \(-51.00\) & \(102.00\) & \(-170.00\) & \(0.01\) & \(0.46\) & \(0.64\) \\ Wrist Extension (RT) & \(0.50\) & \(91.00\) & \(637.60\) & \(-30.00\) & \(88.00\) & \(-591.40\) & \(\leq\)\(0.01\) & \(0.34\) & \(0.79\) \\ Wrist Radial (LT) & \(10.50\) & \(28.00\) & \(187.70\) & \(0.00\) & \(29.00\) & \(822.90\) & \(\leq\)\(0.01\) & \(0.04\) & \(0.99\) \\ Hip Flexion (LT) & \(28.00\) & \(52.00\) & \(131.00\) & \(44.00\) & \(78.00\) & \(88.80\) & \(\leq\)\(0.01\) & \(-0.24\) & \(0.88\) \\ Hip Rotation Ext (RT) & \(16.00\) & \(24.00\) & \(168.00\) & \(22.00\) & \(24.00\) & \(80.90\) & \(\leq\)\(0.01\) & \(-0.25\) & \(0.87\) \\ Knee Flexion (RT) & \(22.00\) & \(50.00\) & \(171.90\) & \(-1.00\) & \(52.00\) & \(766.60\) & \(\leq\)\(0.01\) & \(0.45\) & \(0.65\) \\ Knee Rotation Ext (LT) & \(-16.00\) & \(47.00\) & \(-213.40\) & \(-23.00\) & \(48.00\) & \(-172.00\) & \(0.04\) & \(0.15\) & \(0.94\) \\ Pelvis Tilt (LT) & \(2.50\) & \(21.00\) & \(984.30\) & \(7.00\) & \(18.00\) & \(161.00\) & \(\leq\)\(0.01\) & \(-0.31\) & \(0.82\) \\ Pelvis Tilt (RT) & \(-10.00\) & \(14.00\) & \(-112.30\) & \(-6.00\) & \(14.00\) & \(-237.10\) & \(0.02\) & \(-0.29\) & \(0.84\) \\ Foot Rotation Ext (LT) & \(-29.00\) & \(40.00\) & \(-183.00\) & \(-36.00\) & \(66.00\) & \(-194.30\) & \(0.05\) & \(0.13\) & \(0.95\) \\ Foot Rotation Ext (RT) & \(42.50\) & \(30.00\) & \(41.60\) & \(57.00\) & \(28.00\) & \(37.60\) & \(\leq\)\(0.01\) & \(-0.50\) & \(0.58\) \\ \hline \hline \end{tabular}
\end{table} 
Table 6: Angular velocity values (in deg/s) during BackE event. Differences are significant when \(p\leq 0.05\).