# The Limited Impact of Running Performance on Football Success in the Turkish Super League
## 3 Results
### Binary Logistic Regression  
The omnibus test was highly significant (\(\chi^{2}\) = 71.638, df = 7, \(p\) < 0.000), suggesting that the model was a significant improvement over the intercept-only model. The overall model fit was evaluated using a \(-2\) Log likelihood of 422.966, Cox & Snell R Square of 0.176, and Nagelkerke R Square of 0.239, indicating a moderate fit. The model's accuracy in predicting match outcomes was assessed, showing that the overall percentage of correctly classified cases was 72.2%. Specifically, the model correctly predicted 52.8% of wins and 84.5% of non-wins. From Table 5, it is evident that the variables Location, Team strength, Opp. strength, and LOW significantly contribute to predicting the outcome. However, the LOW variable does not change the probability of winning (Exp(B) = 1). On the contrary, the following applies: (a) home games triple the probability of winning (Exp(B) = 3.119) compared to away games, (b) an increase in team strength by one unit leads to an 8.5% increase in the probability of winning, and (c) an increase in Opp. strength by one unit results in an 8.9% decrease in the probability of winning.  
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{\begin{tabular}{c} **Dependent** \\ **Variable** \\ \end{tabular} } & \multirow{2}{*}{\begin{tabular}{c} **Independent Variables** \\ \end{tabular} } & \multirow{2}{*}{\
\begin{tabular}{c} **Mean** \\ **Difference** \\ **(I-J)** \\ \end{tabular} } & \multirow{2}{*}{**Std. Error**} & \multirow{2}{*}{**Sig.**} & \multicolumn{2}{c}{**95\% Confidence**} & \multirow{2}{*}{
\begin{tabular}{c} **Partial** \\ **Eta** \\ **Squared** \\ \end{tabular} } \\  & & & & & & **Lower** & **Upper** & **Bound** & **Squared** \\ \hline \multirow{6}{*}{LOW} & Location & Result & & & & & & \\ \cline{2-8}  & Home & Win & No win & 227.012 & 411.556 & 0.582 & \(-\)582.315 & 1036.339 & 0.001 \\ \cline{2-8}  & Away & Win & No win & 1573.972 & 469.733 & 0.001 & 650.240 & 2497.703 & 0.030 \\ \cline{2-8}  & Result & Location & & & & & & \\ \cline{2-8}  & Win & Home & Away & \(-\)861.044 & 481.571 & 0.075 & \(-\)1808.054 & 85.967 & 0.009 \\ \cline{2-8}  & No win & Home & Away & 485.916 & 371.205 & 0.191 & \(-\)244.060 & 1215.892 & 0.005 \\ \hline \multirow{6}{*}{MED} & Location & Result & & & & & & \\ \cline{2-8}  & Home & Win & No win & \(-\)183.623 & 233.265 & 0.432 & \(-\)642.339 & 275.094 & 0.002 \\ \cline{2-8}  & Away & Win & No win & 206.431 & 266.239 & 0.439 & \(-\)317.129 & 729.991 & 0.002 \\ \cline{2-8}  & Result & Location & & & & & & \\ \cline{2-8}  & Win & Home & Away & \(-\)60.721 & 272.949 & 0.824 & \(-\)597.475 & 476.033 & \(<\)0.001 \\ \cline{2-8}  & No win & Home & Away & 329.333 & 210.395 & 0.118 & \(-\)84.409 & 743.074 & 0.007 \\ \hline \multirow{6}{*}{HS} & Location & Result & & & & & & \\ \cline{2-8}  & Home & Win & No win & \(-\)16.212 & 136.001 & 0.905 & \(-\)283.658 & 251.234 & \(<\)0.001 \\ \cline{2-8}  & Away & Win & No win & \(-\)31.099 & 155.226 & 0.841 & \(-\)336.350 & 274.153 & \(<\)0.001 \\ \cline{2-8}  & Result & Location & & & & & & \\ \cline{2-8}  & Win & Home & Away & 203.641 & 159.138 & 0.201 & \(-\)109.303 & 516.586 & 0.004 \\ \cline{2-8}  & No win & Home & Away & 188.754 & 122.667 & 0.125 & \(-\)52.470 & 429.978 & 0.006 \\ \hline \multirow{6}{*}{SPR} & Location & Result & & & & & & \\ \cline{2-8}  & Home & Win & No win & 16.116 & 58.625 & 0.784 & \(-\)99.171 & 131.403 & \(<\)0.001 \\ \cline{1-1} \cline{2-8}  & Away & Win & No win & 21.403 & 66.913 & 0.749 & \(-\)110.181 & 152.987 & \(<\)0.001 \\ \cline{1-1} \cline{2-8}  & Result & Location & & & & & & \\ \cline{1-1} \cline{2-8}  & Win & Home & Away & 98.780 & 68.599 & 0.151 & \(-\)36.120 & 233.680 & 0.006 \\ \cline{1-1} \cline{2-8}  & No win & Home & Away & 104.067 & 52.877 & 0.050 & 0.083 & 208.051 & 0.011 \\ \hline \hline \end{tabular}
\end{table}
Table 4: Pairwise comparisons resulting from the interactions Location–Result of the four two-way ANCOVAs.