## 3 Results and Discussion
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**Source** & **Sum of Squares** & **DF** & **Mean Square** & **F-Ratio** & \(p\)**-Value** \\ \hline Between groups & 115.273 & 10 & 11.5273 & 56.50 & 0.0000 \\ Within groups & 109.977 & 539 & 0.204039 & & \\ Total & 225.25 & 549 & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 3: Results of the Analysis of Variance. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Id Test** & **Count** & **Mean** & **Homogeneous Groups** \\ \hline A & 50 & 0.000 & X \\ B & 50 & 0.071 & XX \\ E & 50 & 0.221 & XXX \\ F & 50 & 0.358 & XXX \\ D & 50 & 0.469 & XXX \\ C & 50 & 0.532 & XX \\ M & 50 & 0.550 & XX \\ I & 50 & 0.715 & XX \\ G & 50 & 0.962 & X \\ H & 50 & 1.3684 & X \\ L & 50 & 1.439 & X \\ \hline \hline \end{tabular}
\end{table} 
Table 4: Multiple Range Tests: Tukey’s HSD test at 95.0% confidence level. Figure 5: Means and intervals obtained by using Multiple Range tests and Tukey’s Honestly Significant Difference (HSD) test at 95.0% confidence level. \begin{table}
\begin{tabular}{c c c c c c c c} \hline \hline
**Contrast** & **Sig.** & **Difference** & **Contrast** & **Sig.** & **Difference** & **Contrast** & **Sig.** & **Difference** \\ \hline A - B & \(-\)0.071 & C - D & & 0.063 & E - I & * & \(-\)0.494 \\ A - C & * & \(-\)0.532 & C - E & * & 0.311 & E - L & * & \(-\)1.219 \\ A - D & * & \(-\)0.469 & C - F & & 0.174 & E - M & * & \(-\)0.329 \\ A - E & & \(-\)0.221 & C - G & * & \(-\)0.431 & F - G & * & \(-\)0.605 \\ A - F & * & \(-\)0.358 & C - H & * & \(-\)0.837 & F - H & * & \(-\)1.011 \\ A - G & * & \(-\)0.962 & C - I & & \(-\)0.183 & F - I & * & \(-\)0.357 \\ A - H & * & \(-\)1.368 & C - L & * & \(-\)0.908 & F - L & * & \(-\)1.081 \\ A - I & * & \(-\)0.715 & C - M & & \(-\)0.018 & F - M & & \(-\)0.192 \\ A - L & * & \(-\)1.439 & D - E & & 0.248 & G - H & * & \(-\)0.406 \\ A - M & * & \(-\)0.550 & D - F & & 0.111 & G - I & & 0.248 \\ B - C & * & \(-\)0.461 & D - G & * & \(-\)0.494 & G - L & * & \(-\)0.477 \\ B - D & * & \(-\)0.398 & D - H & * & \(-\)0.900 & G - M & * & 0.413 \\ B - E & & \(-\)0.150 & D - I & & \(-\)0.246 & H - I & * & 0.654 \\ B - F & & \(-\)0.287 & D - L & * & \(-\)0.971 & H - L & & \(-\)0.071 \\ B - G & * & \(-\)0.891 & D - M & & \(-\)0.081 & H - M & * & 0.819 \\ B - H & * & \(-\)1.297 & E - F & & \(-\)0.137 & I - L & * & \(-\)0.725 \\ B - I & * & \(-\)0.644 & E - G & * & \(-\)0.742 & I - M & & 0.165 \\ B - L & * & \(-\)1.368 & E - H & * & \(-\)1.148 & L - M & * & 0.890 \\ B - M & * & \(-\)0.479 & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 5: Estimated difference between each pair of means and statistically significant differences at 95.0% confidence level \({}^{1}\). No statistically significant differences were obtained between the averages of the distances of tests A and B. Instead, statistically significant differences between tests A-C, A-D, B-C and B-D were noted. The highest differences were recorded between tests A-C, where test C obtained an average error of 0.532 m with respect to test A. From the comparison between the average errors recorded in tests C and D, carried out by using the S7 receiver in the modes with and without external antenna, there were no statistically significant differences. With reference to the S5 receiver, no statistically significant differences were obtained between tests E and F. On the other hand, there were statistically significant differences between tests E-G, E-H, F-G, F-H and G-H. The highest differences were recorded between tests E-H with a difference of 1.148 m. Unlike the S7 receiver, the S5 showed statistically significant differences between tests G and H, respectively, with and without external antenna, with a positioning error in test H about 30% higher than G. These results highlight the importance of using the external antenna for improving the reception of satellite signals [10; 11]. As regards the TMMP receiver, statistically significant differences were obtained between tests I and L, respectively, with and without external antenna.