# 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} \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 (RT) & \(1.00\) & \(34.00\) & \(379.10\) & \(-12.00\) & \(79.00\) & \(-365.40\) & \(\leq\)\(0.01\) & \(0.21\) & \(0.90\) \\ Shoulder Flexion (RT) & \(-6.00\) & \(45.00\) & \(-327.30\) & \(-32.00\) & \(105.00\) & \(-204.70\) & \(0.04\) & \(0.32\) & \(0.81\) \\ Shoulder Abduction (RT) & \(10.00\) & \(38.00\) & \(356.90\) & \(26.00\) & \(56.00\) & \(225.40\) & \(\leq\)\(0.01\) & \(-0.33\) & \(0.80\) \\ Wrist Radial (RT) \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}{\multirow{2}{*}{\begin{tabular}{c} _p-_ \\ **Value** \\ \end{tabular} }} & \multicolumn{2}{c}{\begin{tabular}{c} _P-_ \\ **(1-b)** \\ \end{tabular} } & \multicolumn{2}{c}{\begin{tabular}{c} _Cohen’s_ \\ **(1-b)** \\ \end{tabular} } & \multicolumn{2}{c}{\begin{tabular}{c} _Power_ \\ **(1-b)** \\ \end{tabular} } \\ \cline{2-10} \multicolumn{1}{c}{**Joint Movement**} & \multicolumn{1}{c}{\begin{tabular}{c} _Quratile_ \\ **Range** \\ \end{tabular} } & \multicolumn{1}{c}{\begin{tabular}{c} _Coef. Var._ \\ **(\%)** \\ \end{tabular} } & \multicolumn{1}{c}{\begin{tabular}{c} _Median_ \\ **Range** \\ \end{tabular} } & \multicolumn{1}{c}{\begin{tabular}{c} _Quantile_ \\ **(\%)** \\ \end{tabular} } & \multicolumn{1}{c}{\begin{tabular}{c} _Coef. Var._ \\ **Value** \\ \end{tabular} } & \multicolumn{1}{c}{\begin{tabular}{c} _P-_ \\ **Value** \\ \end{tabular} } & \multicolumn{1}{c}{\
\begin{tabular}{c} _Cohen’s_ \\ **(1-b)** \\ \end{tabular} } & \multicolumn{1}{c}{
\begin{tabular}{c} _Power_ \\ **(1-b)** \\ \end{tabular} } \\ \hline Shoulder Rotation Ext (RT) & \(-6.00\) & \(102.00\) & \(-370.00\) & \(47.00\) & \(130.00\) & \(536.90\) & \(\leq\)\(0.01\) & \(-0.45\) & \(0.65\) \\ Elbow flexion (LT) & \(-12.00\) & \(45.00\) & \(-312.30\) & \(-6.00\) & \(56.50\) & \(-9198.90\) & \(0.05\) & \(-0.12\) & \(0.95\) \\ Elbow flexion (RT) & \(-21.00\) & \(74.00\) & \(-235.40\) & \(0.00\) & \(89.00\) & \(518.10\) & \(\leq\)\(0.01\) & \(-0.26\) & \(0.87\) \\ Wrist Extension (RT) & \(6.00\) & \(135.00\) & \(246.90\) & \(52.00\) & \(140.00\) & \(160.90\) & \(\leq\)\(0.01\) & \(-0.33\) & \(0.80\) \\ Lumbar Flexion & \(0.00\) & \(26.00\) & \(-460.80\) & \(8.00\) & \(27.50\) & \(611.80\) & \(0.01\) & \(-0.30\) & \(0.83\) \\ Hip Flexion (RT) & \(-1.00\) & \(61.00\) & \(2917.00\) & \(18.00\) & \(59.50\) & \(170.40\) & \(\leq\)\(0.01\) & \(-0.32\) & \(0.82\) \\ Knee Flexion (RT) & \(-8.00\) & \(120.00\) & \(348.20\) & \(32.00\) & \(142.00\) & \(183.50\) & \(\leq\)\(0.01\) & \(-0.30\) & \(0.83\) \\ Knee Rotation Ext (LT) & \(-6.00\) & \(35.00\) & \(-191.90\) & \(-14.00\) & \(45.50\) & \(-158.90\) & \(0.02\) & \(0.20\) & \(0.91\) \\ Ankle Inversion (LT) & \(-4.00\) & \(29.00\) & \(-196.60\) & \(-10.00\) & \(30.00\) & \(-141.50\) & \(0.01\) & \(0.20\) & \(0.91\) \\ Ankle Inversion (RT) & \(1.00\) & \(16.00\) & \(1737.80\) & \(12.00\) & \(27.00\) & \(174.60\) & \(\leq\)\(0.01\) & \(-0.50\) & \(0.59\) \\ Ankle Abduction (RT) & \(8.00\) & \(24.00\) & \(205.80\) & \(0.00\) & \(35.50\) & \(-7961.00\) & \(\leq\)\(0.01\) & \(0.26\) & \(0.86\) \\ Pelvis Tri(LT) (RT) & \(0.00\) & \(18.00\) & \(353.60\) & \(-7.00\) & \(20.00\) & \(-252.20\) & \(\leq\)\(0.01\) & \(0.37\) & \(0.76\) \\ Pelvis Rotation (LT) & \(6.00\) & \(44.00\) & \(219.40\) & \(18.00\) & \(30.00\) & \(130.80\) & \(0.02\) & \(-0.32\) & \(0.81\) \\ Pelvis Rotation (RT) & \(-6.00\) & \(44.00\) & \(-219.40\) & \(-18.00\) & \(30.00\) & \(-130.80\) & \(0.02\) & \(0.32\) & \(0.81\) \\ \hline \hline \end{tabular} Note: RT—right; LT—left.  
\end{table}