## 4 Experimental Results
### Experiment Results
#### 4.3.3 Results of Importance Feature Selection  
In DT algorithms, the nodes left in the constructed trees will be considered as important. Table 9 provides the extracted top five important features for three cases in the three models. However, in Case 1 and Case 2, the extracted features only can be used to identify the majority students. In Case 3, the discovered features could be used to predict excellent and poor students. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**No.** & **Hypothesis** & \(p\)**-Value** & **Conclusion** \\ \hline H1 & \(H_{0}:CART\leq RF\) & 0.497 & Accept H\({}_{0}\) \\ H2 & \(H_{0}:CART=RF\) & 0.993 & Accept H\({}_{0}\) \\ H3 & \(H_{0}:CART\leq\) C5.0 & 0.000 & Reject H\({}_{0}\) \\  & \(H_{1}:CART>\) C5.0 & 0.000 & Reject H\({}_{0}\) \\ H4 & \(H_{1}:CART\leq MLP\) & 0.001 & Reject H\({}_{0}\) \\ H5 & \(H_{0}:RF\leq\) C5.0 & 0.001 & Reject H\({}_{0}\) \\  & \(H_{1}:RF>\) C5.0 & 0.001 & Reject H\({}_{0}\) \\ H6 & \(H_{0}:RF\leq\)\(MLP\) & 0.000 & Reject H\({}_{0}\) \\  & \(H_{1}:RF>\)\(MLP\) & 0.000 & Reject H\({}_{0}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 7: Results of statistical hypotheses for comparison. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Actual** & **Predicted** & **EX** & **Poor** \\ \hline EX & 61 & 32 \\ \hline Poor & 18 & 90 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Confusion matrix of C5.0 in Case 3 (fold 1). \begin{table}
\begin{tabular}{c c c} \hline \hline
**Algorithm** & **Case 1: EX-VG-G-AVG-Poor** & **Case 2: EX-Normal-Poor** \\
**Classification** & **Classification** & **Case 3: EX- Poor Classification** \\ \hline \multirow{7}{*}{C5.0} & Father’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupations \\ Main source of living expenses \\ \end{tabular} } \\  & & & Family children ranking \\  & & Father’s occupation & Mother’s occupation \\  & & Mother’s occupation & Department \\ \multirow{4}{*}{CART} & \multirow{4}{*}{\begin{tabular}{c} Parent average income per month \\ Fathers’ education \\ \end{tabular} } & \multirow{4}{*}{\begin{tabular}{c} Parent average income per month \\ Main source of living expenses \\ Main source of living expenses \\ \end{tabular} } \\  & & Father’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupation \\ Main source of living expenses \\ Admission status \\ \end{tabular} } \\  & & Father’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Department \\ Main source of living expenses \\ \end{tabular} } \\  & & Mother’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Admission status \\ \end{tabular} } \\  & & Father’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Admission status \\ \end{tabular} } \\  & & Father’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Admission status \\ \end{tabular} } \\  & & Father’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Admission status \\ \end{tabular} } \\  & & Father’s occupation & \multirow{2}{*}{\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Admission status \\ \end{tabular} } \\  & & Father’s occupation & \multirow{2}{*}{\
\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Admission status \\ \end{tabular} } \\  & & Mother’s occupation & \multirow{2}{*}{
\begin{tabular}{c} Mother’s occupation \\ Department \\ Main source of living expenses \\ Fathers’ occupation \\ Admission status \\ \end{tabular} } \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Comparisons of DT and RF in the top 5 important features.