# Personalized Daily Hand Movement Training Methods and Effects: A Case Study
## 3 Results  
As Experiment 1 progressed, the patient's grip strength significantly improved, as shown in Figure 4. In Experiment 2, the patient progressed from initially struggling to slice a potato to ultimately successfully preparing potato chicken nuggets. On the 30 th day of the third experiment, the patient scored 130 points, the spouse scored 70 points, and the patient was granted an opportunity to make a wish come true. During the game process, the indicators of well-being and hand function were analyzed using paired \(t\)-tests (Table 1) and box plots (Figure 5) of pre- and post-experiment data, achieving a dual \"quantitative-qualitative\" data analysis. To further examine the impact  
Figure 4: Comparison of the first and last sessions of Experiments 1 and 2. (**1-1**) and (**1-30**) represent the first and last sessions of Experiment 1, respectively. (**2-1**) and (**2-4**) represent the first and last sessions of Experiment 2, respectively. of happiness on hand function, regression analysis using the least squares method was conducted. The detailed analysis process is described below and shown in Figures 6 and 7 and Table 2.  
\begin{table}
\begin{tabular}{c c c c c c} \hline \hline
**CATEGORIES** & **SWLS** & **SHS** & **PANAS** & **PWB** & **DASH** \\ \hline Pre & 10 & 3 & 18–41 & 21 & 55 \\ Post\_Mean (Standard Deviation) & 22 (6) & 4 (1) & 33–26 (8-6) & 43 (14) & 33 (15) \\ \(t\) & 5.12 & 4.23 & 5.51–(\(-\)3.15) & 4.51 & \(-\)3.42 \\ \(p\) & \(p\) \(<\) 0.001 & \(p\) \(<\) 0.001 & \(p\) \(<\) 0.001–\(p\) = 0.003 & \(p\) \(<\) 0.001 & \(p\) = 0.002 \\
**Annotations:** & & & & & \\ - & **Positive \(t\)-value**: Indicates that the mean of the post-measurement is greater than the mean of the pre-measurement. & - & **Negative \(t\)-value**: Indicates that the mean of the post-measurement is less than the mean of the pre-measurement. & - & \(p\) \(<\) 0.05: This is a common standard, indicating there is less than a 5% probability that the result is due to chance; thus, the result is considered significant. & - & \(p\) \(<\) 0.01: This is a more stringent standard, indicating there is less than a 1% probability that the result is due to chance; thus, the result is considered more significant. & - & \  
Figure 6: Residuals vs. fitted plot. The horizontal axis represents the fitted values (the model-predicted DASH values), and the vertical axis represents the residuals (the difference between the actual DASH values and the predicted values). Both axes are in units of DASH questionnaire scores. The blue dots represent the data points showing the distribution of residuals versus fitted values, and the red line indicates the trend line of the residuals, used to show the overall trend of the residuals. The residuals are randomly distributed and concentrated near the zero line, indicating a good model fit. Figure 7: Actual vs. fitted plot. The horizontal axis represents the actual values (true DASH values), and the vertical axis represents the fitted values (predicted DASH values). Both are measured in DASH questionnaire scores. The blue dots indicate the relationship between each instance’s actual score and the model’s predicted score. The red dashed line is the 45-degree diagonal line (y = x), representing the ideal scenario where the model’s predicted values are exactly equal to the actual values. The blue dots are concentrated near the 45-degree diagonal line, indicating that the model’s accuracy is high. A paired samples \(t\)-test was conducted on the pre- and post-experiment data, and the results are shown in Table 1. Significant differences were found between Pre and Post for all variables, indicating significant improvements in both happiness and hand function after the training. Analyzing the changes in mean and standard deviation from Table 1, the results are as follows:  
**Life Satisfaction (SWLS):**\(t=5.12\), \(p<0.001\), showing a significant difference, indicating a substantial improvement in life satisfaction.