Comprehensive Shoulder Abduction Analysis

Boxplot Comparison

Boxplot of Shoulder Abduction

This boxplot shows the distribution of abduction angles for left and right shoulders. The box represents the interquartile range (IQR), the line inside the box is the median, and the whiskers extend to 1.5 times the IQR.

Violin Plot Comparison

Violin Plot of Shoulder Abduction

The violin plot provides a more detailed view of the distribution shape, showing the probability density at different values. The white dot represents the median, the thick black bar in the center represents the IQR, and the thin black line represents the 95% confidence interval.

Time Series Analysis

Time Series of Shoulder Abduction

This plot shows how shoulder abduction angles change over time for both left (blue) and right (red) shoulders. This helps visualize patterns and differences in movement throughout the recording period.

Left vs Right Correlation

Scatter Plot of Left vs Right Shoulder Abduction

This scatter plot shows the relationship between left and right shoulder abduction angles. Points above the diagonal line indicate greater right shoulder abduction compared to the left at the same time point.

Statistical Analysis

Descriptive Statistics

Side Count Mean Std Dev Min 25% 50% (Median) 75% Max
Left Shoulder 681 60.38° 36.00° 15.56° 19.69° 59.74° 95.44° 120.07°
Right Shoulder 681 72.78° 43.54° 16.25° 25.35° 72.81° 117.39° 137.93°

One-way ANOVA Results

Source Sum of Squares df F-value p-value
Side 52324.90 1 32.79 0.0000000126
Residual 2170217.78 1360 - -

Independent Samples t-test Results

t-statistic: -5.7263

p-value: 0.0000000127

Cohen's d (Effect Size): 0.3103 (medium effect)

Conclusion

The statistical analysis reveals a significant difference between left and right shoulder abduction angles (F = 32.79, p < 0.001). The right shoulder shows a higher mean abduction angle (72.78°) compared to the left shoulder (60.38°), with a mean difference of 12.40°.

The independent samples t-test confirms this difference (t = -5.7263, p < 0.001), and the effect size (Cohen's d = 0.3103) indicates a medium practical significance. This asymmetry in shoulder abduction could be indicative of muscular imbalance, previous injury, or a natural dominance pattern.