## 2 Materials and Methods
### Data Processing and Analysis  
Data preprocessing, management, and analysis were conducted using R v4.3.2 software. Inter-group differences for each experimental color group (assuming normal distribution) were tested using ANOVA. To examine the correlation between eye-tracking and subjective evaluation metrics with \(\Delta\)E, \(\Delta\)L, \(\Delta\)C, and \(\Delta\)h, correlation analysis was performed. For regression analysis, eye-tracking and subjective evaluation metrics were treated as dependent variables, while color element differences were treated as independent variables. Based on the trend of the dependent variables relative to the independent variables, linear regression models were established for pairs of variables that exhibited a linear relationship. Multi-factor regression models were developed for each eye-tracking and subjective evaluation metric with the image's \(\Delta\)E, \(\Delta\)L, \(\Delta\)C, and \(\Delta\)h. Two-sided tests were used in this study, with \(p\leq 0.05\) indicating statistically significant differences.  
The experiment collected eye-tracking indices and subjective evaluation data from 48 participants for 153 sets of images, resulting in a total of 58,752 datasets. The ANOVA \(p\)-values for the different color hue groups of the participants' APD, ASA, FFD, FC, TFF, TFD, ACP, and VC were all less than 0.05, indicating significant changes in these eye-tracking metrics as the building color differences in \(\Delta\)E, \(\Delta\)L, \(\Delta\)C, and \(\Delta\)h varied.  
\begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Eye Movement Index** & **Abbreviations** & \multicolumn{4}{c}{**Meaning**} \\ \hline Fixation Count & FC (count) & \multicolumn{4}{c}{The sum of all fixation durations within the area of interest, representing the level of interest of the participants toward the experimental object.} \\ Time to First Fixation & TFF (s) & \multicolumn{4}{c}{The time taken by the participants to first fixate on an area of interest, i.e., the duration until the first entry into the area of interest. It represents the visual saliency of the experimental material.} \\ Total Fixation Duration & TFD (s) & \multicolumn{4}{c}{The sum of the durations of all fixations within the area of interest. It represents the level of interest the participants have in the experimental stimulus.} \\ Average Pupil Diameter & APD (mm) & \multicolumn{4}{c}{It directly reflects the level of visual stimulation perceived by the participants toward the stimuli.} \\ Average Saccadic Amplitude & ASA (degrees) & \multicolumn{4}{c}{The average distance between saccades, typically measured in degrees of visual angle. Eye movements, facilitated by involuntary saccades, help alleviate visual fatigue and reflect the ease of information processing by the participants in the experiment.} \\ \hline \hline \end{tabular}
\end{table}
Table 1: _Cont._  
\begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Evaluation Indicators** & **Abbreviations** & \multicolumn{4}{c}{**Subjective Rating**} \\ \hline Architectural Color Preferences & ACP & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ Visual Comfort & VC & 1 & 2 & 3 & 4 & 5 & 6 & 7 \\ \hline \hline \end{tabular}
\end{table}
Table 2: Questionnaire for subjective evaluation of color comfort on building facades.