## 3 Simulation Test Analysis of Sorting and Conveying Process
### Two-Factor Level Test  
In identifying the best operating conditions for the sorting and conveying device, the one-factor simulation test process revealed that the sorted sugarcane was primarily 2-3 cases when the cane collection plate's inclination angle was between 25\({}^{\circ}\) and 35\({}^{\circ}\). The sorting effect was also relatively good when the sprocket wheel's rotational speed was between 20 and 28 r/min. For this reason, this range was chosen for the two-factor test to see if the interaction between the two factors had any effect on the test indexes. Table 3 lists the two-factor test's factor levels and factor codes. A and B stand for the cane collecting plate's inclination angle and the sprocket rotational speed, respectively, and the  
Figure 8: Process of simulating various sprocket speeds. (**a**) Represents the sprocket speed of 16 r/min; (**b**) represents the sprocket speed of 20 r/min; (**c**) represents the sprocket speed of 24 r/min; (**d**) represents the sprocket speed of 28 r/min; and (**e**) represents the sprocket speed of 32 r/min. test was conducted three times at each level. Table 4 displays the design and findings of the simulation experiment on the percentage of sorting three canes. The experimental results were analyzed using two-factor repeated measures ANOVA through SPSS 29.0.2.0(20), and the results are shown in Table 5. The effect of both cane collection board inclination angle and sprocket speed on the percentage of sorted three roots reached a significant level (\(p<0.05\)), with cane collection board inclination angle having a greater influence than sprocket speed. In addition, the interaction between the inclination angle of the collecting board and the sprocket rotation speed during the test reached the level of \(p<0.05\), so the interaction between the inclination angle of the collecting board and the sprocket rotation speed on the test indexes reached a level of significance. Therefore, it is necessary to analyze the interaction effect of the inclination angle of the collecting board and the sprocket rotation speed, shown in Figure 9. When the inclination angle of the collecting board is 25\({}^{\circ}\), the sprocket rotation speed is faster, and the ratio of sorting three canes is smaller; when the inclination angles of the cane collection plate are 30\({}^{\circ}\) and 35\({}^{\circ}\), with an increase in sprocket rotational speed, the percentage of sorting three canes increases and then decreases. When the inclination angle of the cane collection plate is 30\({}^{\circ}\) and the sprocket rotational speed is 24 r/min, the percentage of sorting three canes is the highest and reaches 87.96%, i.e., the sorting effect of the sorting mechanism under this factor level is the best. \begin{table}
\begin{tabular}{c c c c} \hline \hline \multicolumn{2}{c}{**Treatment**} & \multicolumn{3}{c}{**Percentage of Three Canes/(\%)**} \\ \hline
**A/(\({}^{\circ}\))** & **B/(r/min)** & **Repeat 1** & **Repeat 2** & **Repeat 3** \\ \hline  & 20 & 69.44 & 72.22 & 72.22 \\
25 & 24 & 63.89 & 66.67 & 63.89 \\  & 28 & 61.11 & 63.89 & 69.44 \\ \hline  & 20 & 77.78 & 75 & 77.78 \\
30 & 24 & 80.56 & 72.22 & 83.33 \\  & 28 & 75 & 72.22 & 77.78 \\ \hline  & 20 & 83.33 & 80.56 & 83.33 \\
35 & 24 & 88.89 & 86.11 & 88.89 \\  & 28 & 80.56 & 77.78 & 80.56 \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Simulation experimental design and results for sorting the three-cane occupancy ratio. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline \multicolumn{2}{c}{**Source of**} & **Sum of** & **Degrees of** & **Mean** & **F** & \(p\) \\
**Variance** & **Squares** & **Freedom** & **Square** & & **F** & \(p\) \\ \hline A & 1221.718 & 2 & 610.859 & 73.699 & \textless{}0.0001 ** \\ B & 89.701 & 2 & 4.851 & 5.411 & 0.014 * \\ AB & 122.765 & 4 & 30.691 & 3.703 & 0.023 * \\ Residual & 149.194 & 18 & 8.289 & & \\ Sum & 1583.378 & 26 & & & \\ \hline \hline \end{tabular} Note that ** means extremely significant (\(p<0.01\)) and ** means significant (\(0.01<p<0.05\)).  
\end{table}