## 5 Results and Discussion  
### Elemental Composition and Inter-Correlation  
The descriptive statistics of the mass fractions of the determined elements are given in detail in Table 1. A total of 34, 26, and 33 elements were determined for Sukari, Hamash, and Um Hagalig, respectively. For the Sukari mine, the maximum mass fraction was measured for K with a mean value of 213,376 mg/kg, whereasthe minimum value was noticed for Au with a mean value of 0.0026 mg/kg. Similarly, the maximum value was computed for Na in Hamash with an average value of 41,581 mg/kg. In comparison, the minimum value was calculated for Au with a mean value of 0.0081 mg/kg. Finally, the maximum value for Um Hagalig was found for Na, with a mean value of 35,644 mg/kg, and the minimum value of 0.0046 mg/kg was noticed for Au. All the obtained mass fractions in mg/kg of the common elements in the three studied mines are plotted in Figure 5. At first glance, the figure depicts that the mass fractions of Hamash are higher than those of others in the case of rare earth elements. Figure 5: Mass fractions of the determined elements in the investigated mines. \begin{table}
\begin{tabular}{l c c c c c c c c c c c} \hline \hline \multirow{2}{*}{**Element**} & \multicolumn{4}{c}{**Skal**} & \multicolumn{4}{c}{**Hansakh**} & \multicolumn{4}{c}{**Un._Hugality**} & \multicolumn{4}{c}{**Un._Hugality**} \\ \cline{2-11}  & **Mean \(\pm\) 5\(\pm\) 249** & **Medium \(\pm\) 340** & **Min-Max** & **Mean \(\pm\) 8\(\pm\) 18** & **Medium \(\pm\) 140** & **Min-Max** & **Mean \(\pm\) 8\(\pm\) 18** & **Medium \(\pm\) 340** & **Min-Max** & **Max-Max** \\ \hline Na & 860\(\pm\) 2.249 & 870\(\pm\) 306, & 886\(\pm\)2700 & 4450\(\pm\) 137 & 62.400 \(\pm\) 398 & 32.400-45, & 356.44 \(\pm\) 258 & 34.800 \(\pm\) 13.585 & 21.600-44, & 32.070 \\ K & 213.75\(\pm\) 50625 & 230\(\pm\) 207025 & 1000\(\pm\)60300 & 3080\(\pm\) 604 & 3500\(\pm\) 250 & 2500\(\pm\)3420 & 2522\(\pm\) 275 & 23.000 \(\pm\) 3607 & 10.500 \(\pm\) 3600 & 35.900 \\ Ca & 2400\(\pm\) 1355 & 220\(\pm\) 306, & 1020\(\pm\) 306, & 720\(\pm\)40, & 27978\(\pm\) 357 & 3320\(\pm\) 1234 & 31.000-39, & 32499\(\pm\) 3376 & 2200\(\pm\) 1705 & 620\(\pm\) 3040 & 260\(\pm\) 2702 \\ S & 80 \(\pm\) 13.5 & 9.7 & 2.0-292 & 28.0 \(\pm\) 0.1 & 4.45 \(\pm\) 159 & 2.7 \(\pm\) 0.7 & 5.3 \(\pm\) 1.4 & 2.5 \(\pm\) 4.3 & 2.2 \(\pm\) 115 & 13 \\ Cr & 80 \(\pm\) 85.11 & 81.3 & 98.9 \(\pm\) 500 & 860\(\pm\) 700 &  
In addition, the elements with the highest mass fractions (K, Ca, Fe, and Na); (Na, Ca, K, Fe, Th, and Zr); (Na, K, Ca, Fe, and Th) were determined for Sukari, Hamash, and Um Hagalig, respectively. The Shapiro-Wilk test of normality was performed. Most of the obtained mass fractions of the elements are not normally distributed. For instance, for the Sukari mine, all the elements are not normally distributed except Ba, Sr, Rb, Sc, Au, Se, Br, W, Sb, and Mo. Contrariwise, for the Hamash mine, all the elements are normally distributed except Sc, Rb, Ag, Sm, Eu, Tb, Yb, Lu, Au, and U. The obtained results of the normality test suggest a further statistical treatment of the data before shaping any hypothesis or interpretation [35]. The analysis of variance (ANOVA) was calculated, and the most common Tukey's Honestly Significant Difference (Tukey's HSD) post-hoc test was used to differentiate the mean differences between the investigated mines. In the present work, three models, namely one-way ANOVA, two-way ANOVA, and interaction of analysis of variance, were computed and tested for the best model. [PERSON]'s Information Criterion (AIC) was used to select the best model [36]. The model with the lowest AIC value is considered the best, and in the present work, the best model was the interaction one. Accordingly, ANOVA results show that there is little statistically significant difference concerning the investigated mines (\(p\)-value = 0.006 \(\leq\) 0.05).