# Influence of Induced Environment Oscillations on Limits of Stability in Healthy Adults
## 3 Results  
The exemplary COP displacement recording during one of the leaning trials is presented in Figure 5. It can be noticed that during the leaning phases, the COP displacement increased with time, and the end of that phase is characterized by a local peak resulting  
Figure 5: Statistics for differences in mean COP velocities of leaning backward between all trials, averaged for all participants. Top and bottom lines of boxes represent 25 th and 75 th quartile, the thick line represents the mean value, and whiskers are the standard deviation. Dots represent the outliers. from propelling the body back to its initial position when the second, low-pitched sound cue was played. Each calculated median was compared between all performed trials in search for statistically significant differences to search for changes in results achieved by every patient between all of the performed tasks. Comparing all medians between each of the trials for every patient resulted in 420 median comparisons and calculated \(p\)-values resulting from the pairwise Wilcoxon post-hoc test with Holm correction. Out of all returned \(p\)-values, only four comparisons resulted in a value \(p<0.05\), which were the following:  
* Median total COP backward leaning velocity for eyes-open leaning vs. 0.2 Hz scenery oscillations;
* Median total COP backward leaning velocity for eyes-closed leaning vs. 0.2 Hz scenery oscillations;
* Median left foot COP backward leaning velocity for eyes-closed leaning vs. 0.2 Hz scenery oscillations;
* Median right foot COP backward leaning velocity for eyes-open leaning vs. 0.2 Hz scenery oscillations. Differences in medians of parameters, which showed statistically significant differences, are shown in Figure 6, and differences in medians of statistically different trials are presented in Table 1. All other values that were compared did not show statistically significant differences. Figure 6: _Cont._ \begin{table}
\begin{tabular}{c c c c c c c} \hline \hline \multirow{2}{*}{**Name of 1 st Trial**} & \multirow{2}{*}{**Name of 2 nd Trial**} & \multirow{2}{*}{**Median of 1 st Trial [mm/s]**} & \multirow{2}{*}{**Median of 2 nd Trial [mm/s]**} & \multirow{2}{*}{**Difference in**} & \multirow{2}{*}{**\(p\)-Value**} & \multirow{2}{*}{**Effect Size**} \\  & & & & & & \\ \hline Total COP & Total COP & & & & \\ backward leaning & backward leaning & backward leaning & \(-\)32.4892 & \(-\)20.5013 & \(-\)11.9878 & 0.0323 & 0.80 \\ velocity for & velocity for 0.2 Hz & & & & & \\ eyes-open leaning & scenery oscillations & & & & \\ Total COP & Total COP & & & & \\ backward leaning & backward leaning & \(-\)34.9797 & \(-\)20.5013 & \(-\)14.4784 & 0.0323 & 0.80 \\ velocity for & velocity for 0.2 Hz & & & & \\ eyes-closed leaning & scenery oscillations & & & & \\ Left foot COP & Left foot COP & & & & \\ backward leaning & backward leaning & \(-\)35.8722 & \(-\)20.8022 & \(-\)15.0700 & 0.0074 & 0.89 \\ velocity for & velocity for 0.2 Hz & & & & \\ eyes-closed leaning & scenery oscillations & & & & \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Results of [PERSON]’s ANOVA for statistically significantly different types of trials and measured values. Figure 6: Basic statistics showing differences in medians, standard deviations, and variances between trials showing statistically significant differences. From top: ‘Median total COP backward leaning velocity for Eyes-open leaning vs. 0.2 Hz scenery oscillations’; ‘Median total COP backward leaning velocity for Eyes-closed leaning vs. 0.2 Hz scenery oscillations’; ‘Median left foot COP backward leaning velocity for Eyes-closed leaning vs. 0.2 Hz scenery oscillations’; and ‘Median right foot COP backward leaning velocity for Eyes-open leaning vs. 0.2 Hz scenery oscillations’. + marks represent outlier results.