\section{Time variance}
This section is dedicated to show feature contrasts and eye movement properties as functions of time, or rather as a function of number of fixation. 

\begin{singlespacing}  
\begin{figure}[!htb]
\label{XYMovement}
\centering
\fbox{ \begin{minipage} {\textwidth}
\begin{tabular}{cc}
\input{OrdinateMovement.tex} & \input{AbscissaMovement.tex}
\end{tabular}
\begin{tabular}{lcc}
\multicolumn{3}{c}{ experiments 1 and 2 on abscissa } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.0416  &  0.1323  \\ 
{   } p-values  &  0.0188  &  0.0000  \\ 
KW & \multicolumn{2}{c}{ p= 0.5203 } \\ 
% median  90.0000 ,  64.0000 
% std 102.5593 ,  114.9615 
\end{tabular}
\begin{tabular}{lcc}
\multicolumn{3}{c}{ Bochum SS on abscissa} \\
 {} & monkeys & humans \\
{   } correlations  &  -0.1230  &  -0.0507  \\ 
{   } p-values  &  0.0054  &  0.2730  \\ 
KW & \multicolumn{2}{c}{ p= 0.0000 } \\ 
% median  5.0000 ,  90.0000 
% std 112.3016 ,  121.0107 
\end{tabular}
\begin{tabular}{lcc}
\multicolumn{3}{c}{ Bochum BS on abscissa } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.1360  &  -0.0483  \\ 
{   } p-values  &  0.0016  &  0.2599  \\ 
KW & \multicolumn{2}{c}{ p= 0.0005 } \\
\end{tabular}
% median  44.0000 ,  70.5000 
% std 57.9822 ,  96.0051 
\begin{tabular}{lcc}
\hline
\multicolumn{3}{c}{ experiments 1 and 2 on ordinate } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.0696  &  0.0818  \\ 
{   } p-values  &  0.0001  &  0.0000  \\ 
KW & \multicolumn{2}{c}{ p= 0.0000 } \\ 
\end{tabular}
% median  84.0000 ,  46.0000 
% std 101.2458 ,  87.5609 
\begin{tabular}{lcc}
\hline
\multicolumn{3}{c}{ Bochum SS on ordinate } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.1351  &  -0.0760  \\ 
{   } p-values  &  0.0022  &  0.1000  \\ 
KW & \multicolumn{2}{c}{ p= 0.0026 } \\ 
\end{tabular}
% median  12.0000 ,  62.0000 
% std 89.9109 ,  89.1035 
\begin{tabular}{lcc}
\hline
\multicolumn{3}{c}{ Bochum BS on ordinate } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.1360  &  -0.0727  \\ 
{   } p-values  &  0.0016  &  0.0899  \\ 
KW & \multicolumn{2}{c}{ p= 0.2866 } \\ 
\end{tabular}
% median  59.0000 ,  45.0000 
% std 56.9517 ,  74.4895 
\caption{Movements on the axes over time}
Absolute lengths of movements on the ordinate and abscissa over fixations (enumerated by their occurrence in the trial).  \textit{Correlations} refers to the coefficients when the eye movements were compared to fixation numbers. 
\end{minipage} }
\end{figure}
\end{singlespacing}  % double line spacing

Figure \ref{XYMovement} shows means between participants and images of absolute differences of x and y coordinates between fixations. You can see that in the Montana/Osnabr\"uck comparison, humans have elevated movements along the abscissa, while monkeys' movements are elevated along the ordinate. In the Bochum Experiment, human movements are more agile, while monkeys generally did not move that much comparatively, however, this difference in agility is more emphasized for movements along the x-axis and reduced, respectively, for movements along the y-axis. 

\begin{figure}[!htb]
\label{basicfunctionsoftime}
\centering
\fbox{ \begin{minipage}{\textwidth}\begin{tabular}{cc}
\input{fixationdurations.tex} & \input{saccadedurations.tex}
\end{tabular}
\begin{tabular}{cc}
\input{saccadelengths.tex} & \input{saccadespeed.tex} 
\end{tabular}
\caption{Eye movements over time}
\end{minipage} }
\end{figure}

Figure \ref{basicfunctionsoftime} shows the four basic functions over fixations. While at the last fixations, humans slowed down with respect to the saccade speed\footnote{As for time, the unit are milliseconds, for lengths, units are Euclidean distances in pixels. Saccade speed was defined as Euclidean distance in pixels per milliseconds.}{} there was no such effect for monkeys, which stayed more or less constant. We see in all four plot after the 12th--14th fixation a sudden change in humans, while there is no such radical change in monkey eye movements. Interestingly, while in humans, saccade speed increases over time, saccade durations decrease, and saccade lengths first increase, peak around the 8th fixation, and decrease, in monkeys the indication thereof is only faintly visible. Generally can be said that monkeys make slightly faster, longer, longer lasting saccades than humans and fixate shorter than humans. Correlations and statistical significance is given in table \ref{eyemovementtable}. % discussion: 1) cognitive strategies noticeable in humans, but not in monkeys? 2)last sentence -- artefact of definitions? No! Definitions are ok! 

\begin{singlespacing}  
\begin{table}[!htb]
\label{eyemovementtable}
\centering
\fbox{ \begin{minipage} {\textwidth}
\begin{tabular}{lcc}
\multicolumn{3}{c}{ fixation durations } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.1762  &  -0.0269  \\ 
{   } p-values  &  0.0000  &  0.0000  \\ 
KW & \multicolumn{2}{c}{ p= 0.1013 } \\ 
\end{tabular}
% median  192.0000 ,  228.0000 
% std 78.9897 ,  141.5190 
\begin{tabular}{lcc}
\multicolumn{3}{c}{ saccade durations } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.1048  &  0.1467  \\ 
{   } p-values  &  0.0000  &  0.0000  \\ 
KW & \multicolumn{2}{c}{ p= 0.0009 } \\ 
\end{tabular}
% median  35.0000 ,  36.0000 
% std 10.3678 ,  16.5700 
\begin{tabular}{lcc}
\hline
\multicolumn{3}{c}{ saccade lengths } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.0583  &  0.1631  \\ 
{   } p-values  &  0.0018  &  0.0000  \\ 
KW & \multicolumn{2}{c}{ p= 0.0006 } \\ 
\end{tabular}
% median  161.0435 ,  112.9690 
% std 115.4573 ,  120.3982 
\begin{tabular}{lcc}
\hline
\multicolumn{3}{c}{ saccade speed } \\
 {} & monkeys & humans \\
{   } correlations  &  -0.0162  &  0.1684  \\ 
{   } p-values  &  0.3836  &  0.0000  \\ 
KW & \multicolumn{2}{c}{ p= 0.0001 } \\ 
\end{tabular}
% median  4.4874 ,  2.9617 
% std 2.1792 ,  1.7323 
\caption{Eye movements over time}
\end{minipage} }
\end{table}
\end{singlespacing}  % double line spacing
