# Improving Ship Maneuvering Safety with Augmented Virtuality Navigation Information Displays
## 3 Results
### The Comparison of the Random Variables of Scenarios 5a and 5b. The Two Train  
The values of the arithmetic mean of the distributions of the distances of the tow train contour from the assumed reference point for the passages variants 5a_Pprecise and 5a_AV in Scenario 5a and for variants 5b_Pprecise and 5b_AV in Scenario 5b differ significantly in the case of the mean and maximum areas. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline  & \multicolumn{2}{c}{\(X_{3}\)**Distance from Sea Ferry’s Hull to the Assumed Reference Point (m)**} \\ \hline
**Variant** & 3\_Visual & 3\_ECDIS & 3\_Pmax & 3\_Pprecise & 3\_AV \\ \hline
**Scenario 3** & & & & & \\
**Sea ferry** & & & & & \\ \hline \hline \multicolumn{7}{c}{\(X_{4}\)**–distance from the cruise ship’s hull to the east shore of Gryfia Island (m)**} \\ \hline
**Variant** & 4\_Visual & 4\_ECDIS & 4\_Pmax & 4\_Pprecise & 4\_AV \\ \hline
**Scenario 4** & & & & & \\
**Cruise ship** & & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 11: The comparison of the arithmetic means of the distribution of the random variable of the ship’s hull distance from the assumed reference point for the sea ferry and cruise ship. The mean and maximum areas determined for variant 5a_Pprecise (using the Pilot_precise system) of Scenario 5a (unberthing of the tow train) was on average more than 15% wider than the same areas obtained in the variants of passages 5a_AV (with the AV system) (Table 12). Similarly, the mean and maximum areas determined for variant 5b_Pprecise Scenario 5b (turning of the tow train) were on average 16% wider than the same areas obtained in the variant of passages 5b_AV (Table 13). The comparison of the maneuvering areas of the tow train for unberthing and turning maneuvers are given in Figures 9 and 10. The boundaries were determined according to the criteria of the mean area and the maximum area based on the assessment of the size and location of maneuvering areas calculated for simulation tests using the Pilot_precise system and AV. The above relationships gave the basis for the further analysis conducted, similarly to the variants above, to check whether the differences observed in the first stage could be confirmed by a more detailed statistical analysis. \begin{table}
\begin{tabular}{c c c c} \hline \hline Mean Width of the Maneuvering Area (m) & Maximum Width of the Maneuvering Area (m) \\ \hline Variant 5b\_Pprecise & Variant 5b\_AV & Variant 5b\_Pprecise & Variant 5b\_AV \\ \hline
103.76 & 89.34 & 116.52 & 99.77 \\ \hline \hline \end{tabular}
\end{table} 
Table 13: The comparison of the mean arithmetic distributions of the distances of the tow train contour points from the assumed reference point, for the mean and maximum maneuvering area, during the maneuver of turning. \begin{table}
\begin{tabular}{c c c} \hline \hline Distance of the Tow Train Contour Points from & Distance of the Tow Train Contour Points from \\ the Assumed Reference Point for the Mean & the Assumed Reference Point for the \\ Maneuvering Area (m) & Maximum Maneuvering Area (m) \\ \hline Variant 5a\_Pprecise & Variant 5a\_AV & Variant 5a\_Pprecise & Variant 5a\_AV \\ \hline
131.31 & 114.72 & 138.16 & 119.03 \\ \hline \hline \end{tabular}
\end{table} 
Table 12: The comparison of the mean arithmetic distributions of the distances of the tow train contour points from the assumed reference point, for the mean and maximum maneuvering area, in two variants of scenario 5a. Figure 9: The maneuvering area for the variant of unberthing the tow train: (a) mean, (b) maximum. Statistical Tests of Differences between Random Variables Parameters Obtained from Series of Tests for All Variants of Simulation Scenarios  
The initial analysis has shown differences in the mean distributions of all random variables in independent groups obtained in all the variants of simulation passages defined in the given experiment.