## 4 Data Mining Analysis and Experimental Simulation
### Data Mining (Correlation Analysis)
#### 4.1.4 Correlation Analysis  
In this part, we analyze the relations among the main features of student acceptance procedures using the correlation coefficient. The correlation coefficient is used to measure statistical values, which range between 1 and \(-1\), and to create a relationship between them using the following formula [38]:  
\[\text{P(X,Y)}=\text{E(X}-\mu\text{x)(Y}-\mu\text{y)/\sigma X\cdot\sigma Y}\]  
The Pearson product-moment correlation coefficient (\(\rho\)) is a measure of the correlation between two variables, X and Y. Here, E is the expectation; \(\mu\)x and \(\mu\)y are the mean values of X and Y, respectively; \(\sigma\)X is the standard deviation of X; and \(\sigma\)Y is the standard deviation of Y. This formula considers the means and the expectations of X and Y. \begin{table}
\begin{tabular}{c c c c c c c c c c c c} \hline \hline  & & \multicolumn{3}{c}{**GPAU\(-\)GPAH**} & \multicolumn{3}{c}{**GPAU\(-\)GAT**} & \multicolumn{3}{c}{**GPAU\(-\)AT**} & \multicolumn{3}{c}{**GPAU\(-\)QS**} \\ \cline{3-13}
**College** & & & & & & & & & & & & \\ \cline{3-13}
**Medicine** & 38.56 & 0.00 & 61.41 & 35.73 & 29.16 & 35.16 & 38.56 & 18.95 & 42.58 & 40.52 & 11.98 & 47.49 \\
**Dentistry** & 30.65 & 0.54 & 68.83 & 31.18 & 46.22 & 22.65 & 44.09 & 26.88 & 29.00 & 47.31 & 18.82 & 33.87 \\
**Public Health and Tropical Medicine** & 12.56 & 0.48 & 87.00 & 21.09 & 42.84 & 36.16 & 25.44 & 39.77 & 34.83 & 28.34 & 21.74 & 49.92 \\
**Nursing** & 24.14 & 0.00 & 75.91 & 23.37 & 54.25 & 22.44 & 29.17 & 42.15 & 28.76 & 27.97 & 33.14 & 38.89 \\
**Applied Medical Sciences** & 22.36 & 0.22 & 77.45 & 22.07 & 48.56 & 29.42 & 27.27 & 40.84 & 31.92 & 29.18 & 27.86 & 42.96 \\
**Pharmacy** & 31.37 & 0.22 & 68.43 & 23.75 & 57.32 & 19.00 & 31.81 & 45.75 & 22.41 & 40.74 & 32.03 & 27.23 \\
**Engineering** & 12.37 & 0.11 & 87.52 & 27.17 & 29.81 & 43.00 & 28.75 & 34.46 & 36.88 & 28.96 & 15.75 & 55.29 \\
**Computer** & 11.15 & 0.99 & 87.96 & 26.25 & 46.80 & 26.90 & 28.96 & 44.53 & 26.57 & 28.96 & 25 & 46.04 \\
**Design and Architecture** & 19.51 & 0.49 & 80.00 & 17.07 & 75.71 & 7.80 & 28.58 & 64.15 & 10.00 & 42.2 & 41.26 & 15.99 \\
**Science** & 6.17 & 0.78 & 93.11 & 24.99 & 45.19 & 29.91 & 29.7 & 40.25 & 30.00 & 28.44 & 21.29 & 50.27 \\
**Business Administration** & 19.98 & 2.19 & 77.80 & 20.02 & 61.45 & 18.66 & 18.99 & 69.47 & 11.53 & 27.29 & 44.84 & 27.87 \\ \hline \hline \end{tabular}
\end{table} 
Table 8: Illustrates AMJA and non-similar distribution that lays between GPAU and GPAH, GAT, AT, and QS for scientific colleges. \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline \multirow{2}{*}{**College**} & \multicolumn{3}{c}{**GPAU\(-\)GPAH**} & \multicolumn{3}{c}{**GPAU\(-\)GAT**} & \multicolumn{3}{c}{**GPAU\(-\)WS**} \\ \cline{2-10}  & **Compatible** & **High** & **Low** & **Compatible** & **High** & **Low** & **Compatible** & **High** & **Low** \\ \hline Education & 50.67 & 44.87 & 4.47 & 3.31 & 96.69 & 0.00 & 9.77 & 9.23 & 0.00 \\ Sharia and Law & 25.72 & 72.14 & 2.14 & 2.71 & 97.12 & 0.16 & 8.46 & 91.45 & 0.08 \\ Arts and Humanities & 12.95 & 85.16 & 1.89 & 1.69 & 98.11 & 0.20 & 6.22 & 93.71 & 0.07 \\ \hline \hline \end{tabular}
\end{table} 
Table 9: Illustrates AMJA and non-similar distribution that lays between GPAU and GPAH, GAT, AT, and QS for theoretical colleges. We separated the investigation results into two groups, which are scientific and theoretical colleges. Tables 10 and 11 show the correlation coefficient calculation between GPAU and the other scores (GPAH, GAT, and WS). The correlation coefficient between GPAU and GPAH is the highest for the medicine, dentistry, nursing, and pharmacy majors, as well as some theoretical majors such as education and Sharia. Meanwhile, for majors such as applied medical sciences, public health, computer science and information technology, design, engineering, and science the correlation coefficient between GPAU and QS is the best indicator, while for the art major the correlation coefficient between GPAU and WS is the best indicator.