## 3 Results
### Descriptive Analysis
In this comparison, statistically significant differences were found in the target service box variable when applying the \(\chi^{2}\) independence test. The size of the effect, assessed using Cramer's V, indicates that the differences are weak (V = 0.148). When analysing the adjusted residuals, notable differences are observed in the distribution of the target service box variable according to the service side (deuce or advantage). In particular, the adjusted residues show a significant pattern in the body category (intermediate zone of the quadrant), where the advantage side presents a positive value (3.3), indicating a higher frequency observed than expected. Conversely, the deuce side in this same category has a negative value (\(-\)3.3), suggesting a lower frequency than expected. \begin{table} \begin{tabular}{l l l l l l l l} \hline \hline  & & \multicolumn{3}{c}{**First Serve (Deuce)**} & \multicolumn{3}{c}{**First Serve (Advantage)**} & \multicolumn{2}{c}{**DE-AD Comparison**} \\ \hline
**Criteria** & **Code** & **N** & **\%** & \(\chi^{2}\) Goodness-of-Fit** & **N** & **\%** & \(\chi^{2}\) Goodness-of-Fit** & \(\chi^{2}\) of Independence** \\ \hline TARGET & B & 71 & 23.0 & \(\chi^{2}\) = 14.932 & 102 & 35.3 & \(\chi^{2}\) = 3.744 & \(\chi^{2}\) = 13.111 \\ SERVICE & T & 120 & 38.8 & \(p<0.001\) & 81 & 28.0 & \(p=0.154\) & \(p<0.000\) \\ BOX & W & 118 & 38.2 & \(p<0.001\) & 106 & 36.7 & \(p=0.148\) \\ \hline \multirow{3}{*}{RALLY LENGTH} & LN & 51 & 16.5 & \(\chi^{2}\) = 60.524 & 42 & 14.5 & \(\chi^{2}\) = 56.478 & \(\chi^{2}\) = 1.161 \\  & MD & 96 & 31.1 & \(p<0.000\) & 101 & 34.9 & \(p<0.000\) & \(p=0.559\) \\  & SH & 162 & 52.4 & \(p<0.000\) & 146 & 50.5 & \(p<0.000\) & \(p=0.559\) \\ \hline \multirow{3}{*}{HITTING ZONE} & HZ1 & 27 & 8.7 & \multirow{3}{*}{25} & 25 & 8.7 & \multirow{3}{*}{} & \\  & HZ2 & 15 & 4.9 & \(17\) & 5.9 & & \\  & HZ3 & 70 & 22.7 & \(p<0.000\) & 77 & 26.6 & \(p<0.000\) & \(p=0.205\) \\  & HZ4 & 160 & 51.8 & & 151 & 52.2 & & \\  & SZ & 37 & 12.0 & & 19 & 6.6 & & \\ \hline \multirow{3}{*}{FINAL STROKE} & ACE & 31 & 10.0 & \multirow{3}{*}{} & 16 & 5.5 & \multirow{3}{*}{} & \\  & BH & 117 & 37.9 & \(\chi^{2}\) = 77.472 & 103 & 35.6 & \(\chi^{2}\) = 91.526 & \(\chi^{2}\) = 5.337 \\  & FH & 114 & 36.9 & \(p<0.000\) & 118 & 40.8 & \(p<0.000\) & \(p=0.149\) \\  & OTH & 47 & 15.2 & & 52 & 18.0 & & \\ \hline \multirow{3}{*}{FINISH ZONE} & BSO & 65 & 21.0 & \multirow{3}{*}{} & 69 & 23.9 & \multirow{3}{*}{} & \\  & SLO & 41 & 13.3 & & 43 & 14.9 & & \\  & NET & 53 & 17.2 & & 58 & 20.1 & & \\  & F21 & 82 & 26.5 & \(\chi^{2}\) = 126.184 & 51 & 17.6 & \(\chi^{2}\) = 94.917 & \(\chi^{2}\) = 8.029 \\  & FZ2 & 12 & 3.9 & \(p<0.000\) & 14 & 4.8 & \(p<0.000\) & \(p=0.330\) \\  & FZ3 & 9 & 2.9 & & & 12 & 4.2 & \\  & FZ4 & 19 & 6.1 & & 15 & 5.2 & & \\  & FZ5 & 28 & 9.1 & & 27 & 9.3 & & \\ \hline \multirow{3}{*}{WINNER} & RW & 124 & 40.1 & \(\chi^{2}\) = 12.042 & 110 & 38.1 & \(\chi^{2}\) = 16.474 & \(\chi^{2}\) = 0.268 \\  & SW & 185 & 59.9 & \(p<0.001\) & 179 & 61.9 & \(p<0.000\) & \(p=0.605\) \\ \hline \multirow{3}{*}{POINT} & RWFE & 22 & 7.1 & \multirow{3}{*}{} & 16 & 5.5 & \multirow{3}{*}{} & \\  & RWUE & 71 & 23.0 & & 73 & 25.3 & & \\ \cline{1-1}  & RWW & 31 & 10.0 & \(\chi^{2}\) = 88.029 & 21 & 7.3 & \(\chi^{2}\) = 110.093 & \(\chi^{2}\) = 7.877 \\ \cline{1-1}  & SWFE & 21 & 6.8 & \(p<0.000\) & 28 & 9.7 & \(p<0.000\) & \(p=0.163\) \\ \cline{1-1}  & SWUE & 88 & 28.5 & & 98 & 33.9 & & \\ \cline{1-1}  & SWW & 76 & 24.6 & & 53 & 18.3 & \\ \hline \hline \end{tabular}  Note.