Interpretation
The difference score analysis reveals that participants experienced an average height increase of approximately 2.09 inches from Baseline to Year 1, indicating overall growth in the sample. Cohen's d of 1.37 (95% CI: [1.34, 1.39]) suggests a large effect size, indicating that the observed increase is not only statistically significant but also substantial in magnitude.A regression analysis examining whether handedness predicts height change (Year 1 height -- Baseline height) found no significant effect. Compared to right-handed participants (reference group), left-handed participants had a non-significant height change of b = -0.07, p = 0.29, and mixed-handed participants had a non-significant height change of b = 0.05, p = 0.32. These results indicate that handedness does not meaningfully account for variability in height change across participants.
Interpretation
The violin plot illustrates the distribution of height differences across handedness groups, with substantial overlap in density curves indicating no systematic shift associated with handedness. Median markers and the jittered points show that all groups cluster around the same two-inch gain while still permitting normal between-person variability. The modest width of each violin compared with the overall range underscores how little explanatory power handedness adds beyond baseline height. Together with the regression output, the visualization reinforces that any perceived differences are likely due to random sampling variation rather than meaningful group effects.