# User Preference-Based Method for Characterizing Automotive Wheel Hub Styles
## 3 Results
### Quantitative Analysis of the Results of Design Elements with Style
\begin{tabular}{c c c c c} \hline \hline \multicolumn{1}{c}{**Dependent Variable: Eiear**} & \multirow{2}{*}{**Design Factor**} & \multirow{2}{*}{**Score**} \\ \hline \multirow{2}{*}{**Design Elements**} & \multirow{2}{*}{**PCE (Partial Correlation Coefficient)**} & \multirow{2}{*}{**Rank**} & \multirow{2}{*}{**Design Factor**} & \multirow{2}{*}{**Score**} \\ \hline \multirow{2}{*}{A\({}_{1}\)} & \multirow{2}{*}{0.632} & \multirow{2}{*}{1} & A\({}_{11}\) & 0.624 \\  & & & A\({}_{12}\) & 0.762 \\  & & & A\({}_{13}\) & 0.653 \\  & & & A\({}_{14}\) & 0.558 \\ \hline \multirow{2}{*}{A\({}_{2}\)} & \multirow{2}{*}{0.543} & \multirow{2}{*}{2} & A\({}_{21}\) & 0.258 \\  & & & A\({}_{22}\) & 0.201 \\  & & & A\({}_{23}\) & 0.118 \\  & & & A\({}_{24}\) & 0.125 \\  & & & A\({}_{25}\) & 0.205 \\  & & & A\({}_{26}\) & 0.035 \\ \hline \multirow{2}{*}{A\({}_{3}\)} & \multirow{2}{*}{0.456} & \multirow{2}{*}{3} & A\({}_{31}\) & 0.671 \\  & & & A\({}_{32}\) & \(-\)0.012 \\  & & & A\({}_{33}\) & \(-\)0.079 \\  & & & A\({}_{34}\) & \(-\)0.121 \\  & & & A\({}_{35}\) & \(-\)0.168 \\ \hline \multirow{2}{*}{A\({}_{4}\)} & \multirow{2}{*}{0.369} & \multirow{2}{*}{4} & A\({}_{41}\) & \(-\)0.199 \\  & & & A\({}_{42}\) & \(-\)0.117 \\  & & & A\({}_{43}\) & \(-\)0.342 \\ \hline \multirow{2}{*}{A\({}_{5}\)} & \multirow{2}{*}{0.297} & \multirow{2}{*}{5} & A\({}_{51}\) & \(-\)0.214 \\  & & & A\({}_{52}\) & 0.105 \\ \end{tabular} 
\begin{tabular}{c c} A\({}_{5}\) & 0.297 \\  & 5(PCE = 0.297). This indicates a relatively weak correlation with the semantic meaning of 'elegant'. Consequently, attention to this element in design practice could be reduced. The data in Table 9 indicate that the design elements A4'spoke width' (PCE = 0.877) and A2'spoke shape' (PCE = 0.741) have significant scores. This suggests strong associations with the feelings of 'lush' compared to other elements. In-depth analyses reveal that for'spoke width', the design factor A41'string' has a higher score (0.559). In the'spoke shape' category, A24'rectangle' also has a high score (0.868). These data show that the'string' spoke width and'rectangle' spoke shape have strong positive correlations with the feelings of 'lush'. Designers should therefore prioritize these elements in their creations. In contrast, A1'spoke layout' (PCE = 0.269) and A5 'center formation' (PCE = 0.162) have lower partial correlation coefficients. This indicates weaker relationships with the feelings of 'lush'. Consequently, the focus on these elements could be reduced during the design process. The quantitative mapping relationship between design factors and'steady' is analyzed. The PCE of each design element and the design factor score results are shown in Table 10.  
The data in Table 10 show that the design elements A1'spoke layout' (PCE = 0.721) and A3 'number of spokes' (PCE = 0.644) have high partial correlation coefficients. This indicates a strong correlation with the feelings of'steady'. Further exploration reveals that within the'spoke layout' category, the design factor A11 'point line' has a high positive score (0.635). Similarly, in the 'number of spokes' category, the design factor A34 'five' also has a high positive score (0.471). These data suggest that the 'point line' layout and a spoke count of five have significant positive correlations with the feelings of'steady'. Designers should focus on these elements and prioritize their development in design. In contrast, A5 'center formation' (PCE = \(-\)0.186) has a low