# Improving Ship Maneuvering Safety with Augmented Virtuality Navigation Information Displays
## 3 Results  
The herein presented statistical analysis of recorded simulation passage data consisted of the verification of the hypotheses on the normality of random variables distribution (Table 8):  
1. resultant speed \(V_{1}\) of the container ship determined at the moment of contact with the fender and time \(T_{1}\) of maneuver performance, obtained for four variants of Scenario 1;
2. resultant speed \(V_{2}\) of the general cargo ship determined at the moment of contact with the fender and time \(T_{2}\) of maneuver performance, obtained for four variants of Scenario 2;
3. the distances of the sea ferry from the assumed point of reference \(X_{3}\) obtained for five variants of Scenario 3;
4. the distances \(X_{4}\) of the cruise ship from the east shore of Gryfia Island obtained for five variants of Scenario 4;
5. the distances of the tow train contour points from the assumed reference point \(D_{5\text{a}}\) obtained for two variants of Scenario 5a and \(D_{5\text{b}}\) obtained for two variants of Scenario 5b;  
and the comparison of the mean, variance and multiple comparisons of the means. Depending on the number of variants in simulation scenarios (number of independent groups), the statistical inference was conducted as presented below. \begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**1** & **2** & **3** & **4** & **5** & **6** \\ \hline \multirow{3}{*}{**Scenario**} & \multirow{3}{*}{Variant of the Scenario} & \multirow{3}{*}{Random Variable of the Primary Criterion} & Independent Groups of the Random Variable of the Primary Criterion & Random Variable of the Primary Criterion & Independent Groups of the Random Variable of the Secondary Criterion T \\ \cline{3-6}  & & & V1—resultant speed of the container ship determined at the moment of contact with the fender & V1\_ECDIS & T1—time of maneuver (s) & T1\_ECDIS \\ \cline{2-6}  & 1\_Precise & & (\(\ln\)) & V1\_Pprecise & T1—time of maneuver (s) & T1\_Pprecise \\ \cline{2-6}  & 1\_AV & & (\(\ln\)) & V1\_AV & T1\_AV \\ \hline \multirow{3}{*}{**2**} & \multirow{3}{*}{2.5 Visual} & \multirow{3}{*}{V2—resultant speed of the cargo ship determined at the moment of contact with the fender} & V2\_Visual & T2—time of maneuver (s) & T2\_Visual \\ \cline{2-6}  & & & V2—resultant speed of the cargo ship determined at the moment of contact with the fender & V2\_Pmax & T2—time of maneuver (s) & T2\_Pmax \\ \cline{2-6}  & 2\_Pprecise & & (\(\ln\)) & V2\_Pprecise & T2\_Pprecise \\ \cline{2-6}  & 2\_AV & & & V2\_AV & T2\_AV \\ \hline \multirow{3}{*}{**3**} & \multirow{3}{*}{3.5 TOLS} & \multirow{3}{*}{X3—distance of the sea ferry from the assumed point of reference (m)} & X3—distance of the sea ferry from the assumed point of reference (m) & X3\_Pmax \\ \cline{2-6}  & & & X3—Precise & X3\_Pprecise \\ \cline{2-6}  & 3\_AV & & & X3\_AV \\ \hline \multirow{3}{*}{**4**} & \multirow{3}{*}{4.Visual} & \multirow{3}{*}{X4—distance of the cruise ship from the east shore of Gryfia Island (m)} & X4\_Visual \\ \cline{2-6}  & & & X4—distance of the cruise ship from the east shore of Gryfia Island (m) & X4\_Pmax \\ \cline{2-6}  & 4\_Pprecise & & & X4\_Pprecise \\ \cline{2-6}  & 4\_AV & & & X4\_AV \\ \hline \multirow{3}{*}{**5a**} & \multirow{3}{*}{5a,Pprecise} & DS5—distance of the tow train & DS5a,Pprecise \\ \cline{2-6}  & & & output points from the assumed & DS5a,AV \\ \hline \multirow{3}{*}{**5b**} & \multirow{3}{*}{5b,Pprecise} & DS5—distance of the tow train & DS5b,Pprecise \\ \cline{2-6}  & & & contour points from the assumed & DS5b,AV \\ \hline \end{tabular}
\end{table} 
Table 8: The list of random variables subjected to statistical analysis based on the scenario variant. For the scenario of unberthing (5a) and turning (5b) of the tow train, where statistical analysis was applied to \(k=2\) independent groups of the random variable of the distance of the tow train contour points from the adopted reference point, the equality of the means was verified by the parametric test. The specific hypotheses were adopted:  
**Hypothesis 0 (H0).