## 3 Results and Discussions
### Statistical Analysis on a Reaction Surface of 0.1 m\({}^{2}\) FPR  
An analysis of covariance (ANCOVA) gave a significance value of \(p\) < 0.05, using the data obtained by the COD analysis in the processes for the 0.1 m\({}^{2}\) surface FPR, with COD removal as the dependent variable. As can be seen in Table 2, the results of these statistical tests show there are differences between the processes (photolysis and photocatalysis) at 10 min of the reaction, in terms of drug degradation, which may be due to the formation of by-products [56] and the reaction surface. In the case of the different pH levels (3.5, 4.15, 7, and 9), there was no significant difference for the medium in which the drug is found. Unlike the study conducted by [PERSON] et al. in 2023 [57] for the degradation of the malachite green dye by means of a composite of mineral nature, using a heterogeneous photocatalytic process, we found significant differences both for the concentration of said material and for the pH level; in this case, the mean was not statistically significant because only one of the processes showed degradation of AMX. Finally, with the application of different doses of H\({}_{2}\)O\({}_{2}\) (nil and 4 mM), it was found that these influenced the treatments in the first 20 min of the reaction, as well as the initial COD concentration, where significant differences appear at 10, 20 and 30 min of the reaction. In 2022, [PERSON] et al. [23] observed a similar behavior for the degradation of methylthionine chloride, where significant differences in the use of H\({}_{2}\)O\({}_{2}\) were found at 10, 20, 30, and 60 min. However, in the aforementioned study, other factors such as the process and pH levels also showed significant differences throughout the reaction. Within the ANCOVA, the interaction between the pH levels and H\({}_{2}\)O\({}_{2}\) dose was also analyzed, however, no significant differences was found. A Tukey test was also carried out; the results are shown in Figure 7. The groupings of the means of the different treatments (processes, Figure 7a; pH, Figure 7b; and H\({}_{2}\)O\({}_{2}\) dose, Figure 7c) are represented by letters (A and B), where each letter corresponds to a group, with B being the one with the smallest difference between their means. As can be seen, the process (at 10 min) and the different doses of H\({}_{2}\)O\({}_{2}\) (5, 10, 15 and 20 min), show two groups, confirming what was previously described by the ANCOVA test. \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline
**Time** & **Process** & **pH** & **H\({}_{2}\)O\({}_{2}\)** & **pH\({}^{*}\) H\({}_{2}\)O\({}_{2}\)** & **Radiation** & **COD\({}_{\text{0}}\)** \\ \cline{2-7}
**(min)** & \multicolumn{6}{c}{_p-Value Probab \textgreater{} F_} \\ \hline
5 & 0.1867 & 0.5454 & 0.0047 & 0.7044 & 0.7547 & 0.5000 \\
10 & 0.0401 & 0.3551 & 0.0003 & 0.1696 & 0.8077 & 0.0272 \\
15 & 0.1812 & 0.1629 & 0.0046 & 0.4584 & 0.5753 & 0.3224 \\
20 & 0.8745 & 0.3401 & 0.0005 & 0.3947 & 0.4950 & 0.0101 \\
30 & 0.3531 & 0.6367 & 0.0518 & 0.0689 & 0.4506 & 0.0017 \\
45 & 0.3350 & 0.1959 & 0.2378 & 0.4326 & 0.2546 & 0.6667 \\
60 & 0.8068 & 0.2376 & 0.0656 & 0.3004 & 0.8335 & 0.3633 \\ \hline \hline \end{tabular}
\end{table} 
Table 2: ANCOVA analysis on the reaction surface of 0.1 m\({}^{2}\) FPR. Comparative Statistical Analysis between the FPR Reaction Surfaces (1 m\({}^{2}\) and 0.1 m\({}^{2}\))  
Once the optimization experiments for the degradation of AMX were carried out, the different reaction surfaces (0.1 m\({}^{2}\) and 1 m\({}^{2}\)) were compared. The processes (photolysis and photocatalysis) were analyzed at pH 4.15, testing both H\({}_{2}\)O\({}_{2}\) doses (0 mM and 4 mM) for both FPR surfaces, using ANCOVA and Tukey tests. In the case of the ANCOVA evaluation (Table 3), it can be observed that the reaction surface influences the degradation of the pollutant during the entire reaction. In the same way, the Tukey test (Figure 8) showed two groups (A and B), confirming that the FPR surface (Figure 8a) played an important role in the removal of AMX.