# Manual Wheelchair Equipped with a Planetary Gear-Research Methodology and Preliminary Results
## 3 Results and Discussion  
### Results of EMG Measurements  
Figures 8 and 9 show the selected values of (\(SA\)) for different gear ratios. All the calculated values and statistical data are presented in Table 2.  
Figure 8: Average values of the area under the diagram (\(SA\)) for measurement tests s2, k1-3 and p1-3 for the muscle: extensor carpi radialis longus (D); error bars are \(\pm\) standard deviation. Figure 7: Geometric interpretation of the kinematic parameters of the upper limb segments during measurements with the use of motion capture. \begin{table}
\begin{tabular}{c c c c c c c c c c c c c c} \hline \hline  & & & **s1 A** & & & & **s1 B** & & & **s1 C** & & & **s1 D** & \\ \hline \hline \multirow{4}{*}{**k1**} & \multicolumn{3}{c}{**p1**} & **p2** & **p3** & **p1** & **p2** & **p3** & **p1** & **p2** & **p3** & **p1** & **p2** & **p3** & **p1** & **p2** & **p3** \\ \cline{2-13}  & \(\overline{x}\) [s\(\cdot\%\)] & 23.33 & 21.51 & 19.03 & 32.50 & 30.34 & 29.94 & 21.28 & 15.46 & 14.59 & 6.08 & 4.55 & 3.17 \\ \cline{2-13}  & \(\sigma\) [s\(\cdot\%\)] & 2.74 & 2.00 & 0.99 & 1.60 & 2.09 & 1.99 & 1.44 & 1.17 & 0.99 & 0.33 & 0.47 & 0.14 \\ \cline{2-13}  & \(\sigma_{\overline{x}}\) [s\(\cdot\%\)] & 0.61 & 0.45 & 0.22 & 0.36 & 0.47 & 0.44 & 0.32 & 0.26 & 0.22 & 0.07 & 0.11 & 0.03 \\ \cline{2-13}  & \(p_{val}\) & 0.09 & 0.18 & 0.26 & 0.64 & 0.17 & 0.18 & 0.17 & 0.65 & 0.10 & 0.09 & 0.46 & 0.35 \\ \hline \multirow{4}{*}{**k2**} & \(\overline{x}\) [s\(\cdot\%\)] & 23.57 & 23.44 & 22.37 & 36.88 & 30.85 & 30.39 & 24.11 & 19.43 & 15.20 & 10.64 & 5.98 & 3.62 \\ \cline{2-13}  & \(\sigma\) [s\(\cdot\%\)] & 3.10 & 1.84 & 1.39 & 3.41 & 2.73 & 1.87 & 1.95 & 1.44 & 0.88 & 0.85 & 0.73 & 0.17 \\ \cline{2-13}  & \(\sigma_{\overline{x}}\) [s\(\cdot\%\)] & 0.69 & 0.41 & 0.31 & 0.76 & 0.61 & 0.42 & 0.44 & 0.32 & 0.20 & 0.19 & 0.16 & 0.04 \\ \cline{2-13}  & \(p_{val}\) & 0.50 & 0.06 & 0.09 & 0.59 & 0.18 & 0.19 & 0.53 & 0.12 & 0.38 & 0.53 & 0.52 & 0.16 \\ \hline \multirow{4}{*}{**k3**} & \(\overline{x}\) [s\(\cdot\%\)] & 31.20 & 27.95 & 24.57 & 48.94 & 39.61 & 35.94 & 36.88 & 27.96 & 21.61 & 20.50 & 6.45 & 5.46 \\ \cline{2-13}  & \(\sigma\) [s\(\cdot\%\)] & 2.37 & 1.48 & 1.67 & 5.32 & 3.46 & 3.18 & 2.96 & 3.06 & 1.31 & 1.53 & 0.48 & 0.54 \\ \cline{2-13}  & \(\sigma_{\overline{x}}\) [s\(\cdot\%\)] & 0.53 & 0.37 & 0.33 & 1.19 & 0.77 & 0.71 & 0.66 & 0.68 & 0.29 & 0.34 & 0.11 & 0.12 \\ \cline{2-13}  & \(p_{val}\) & 0.09 & 0.29 & 0.09 & 0.08 & 0.09 & 0.26 & 0.13 & 0.11 & 0.40 & 0.14 & 0.25 & 0.14 \\ \hline \multicolumn{13}{c}{**s2 A**} & \multicolumn{3}{c}{**s2 B**} & \multicolumn{3}{c}{**s2 C**} & \multicolumn{3}{c}{**s2 D**} \\ \hline \hline \multirow{4}{*}{**k1**} & \multicolumn{3}{c}{**p1**} & **p2** & **p3** & **p1** & **p2** & **p3** & **p1** & **p2** & **p3** & **p1** & **p2** & **p3** \\ \cline{2-13}  & \(\overline{x}\) [s\(\cdot\%\)] & 27.44 & 19.14 & 19.03 & 30.51 & 27.56 & 25.60 & 20.49 & 15.61 & 13.23 & 9.14 & 3.55 & 2.96 \\ \cline{2-13}  & \(\sigma\) [s\(\cdot\%\)] & 1.22 & 1.18 & 0.99 & 2.28 & 0.99 & 1.51 & 1.03 & 0.76 & 0.70 & 0.97 & 0.29 & 0.19 \\ \cline{2-13}  & \(\sigma_{\overline{x}}\) [s\(\cdot\%\)] & 0.27 & 0.26 & 0.22 & 0.51 & 0.22 & 0.34 & 0.39 & 0.24 & 0.1 According to the analysis of the collected data, all designated areas (\(SA\)) were characterized by a normal distribution, although in one case the value (\(p_{val}\)) for the Anderson-Darling test was very close to the assumed significance level \(\alpha\) (for sample s2k3p3, muscle D: \(p_{val}=0.05\)). The ANOVA test showed differences for all muscles and experiment variants between the individual parameters and their interactions. For nearly all muscles, a post-hoc test indicated a significant difference between the inclination angles and gear ratios. The deviations from this rule (statistically insignificant difference) were: s1 A variant p2 and p3 (\(p=0.989\)), s3 A variant p2 and p3 (\(p=0.537\)) and s3 B variant p1 and p2 (\(p=0.668\)). The nature of the changes that were taking place can be observed in Figures 8 and 9.