## 5 Results and Analysis
### Correlation Analyses
#### 5.4.1 Daily Correlation Analysis
However, the SIS questions related to the sense of belonging are positively correlated with total step count and light sleep duration, while negatively correlated with snoring time. The results of moderate correlations between FD and the sensor data are listed in Tables 8-10. Multiple moderate correlations exist between the Oxford Hip Score questions, Oxford Knee Score questions, and heart rate, motion, acceleration, and sleep features. These findings indicate that physical health assessments, such as the Oxford scores, are moderately associated with various measurable aspects of physical activity, mobility, and sleep. There is also a moderate negative correlation between TUG and light sleep duration (\(-0.33\)) and the wake up count in a day, indicating that the longer the patient takes to complete the TUG test (lower physical health/higher FD), the shorter their light sleep duration is at night and the less often they wake up during their sleep episode. A negative correlation between TUG and wake up count here indicates that individuals with better mobility (lower TUG times) tend to wake up fewer times during the night. This could \begin{table}
\begin{tabular}{c c c} \hline \hline
**Variable 1** & **Variable 2** & **Correlation Value** \\ \hline Oxford Hip Score—Q11 & hr-average & 0.73 \\ \hline Oxford Knee Score—Q11 & hr-average & 0.66 \\ \hline Oxford Knee Score—Q10 & motion-sum & 0.63 \\ \hline Oxford Knee Score—Q9 & hr-average & 0.59 \\ \hline Oxford Knee Score—Q5 & motion-sum & 0.58 \\ \hline Oxford Knee Score—Q4 & hr-average & 0.56 \\ \hline Oxford Knee Score & hr-average & 0.54 \\ \hline SIS—Q3 & hr-average & 0.51 \\ \hline Oxford Hip Score—Q4 & motion-sum & \(-0.53\) \\ \hline Oxford Hip Score—Q1 & motion-sum & \(-0.53\) \\ \hline TUG & totalsleepduration & \(-0.54\) \\ \hline Oxford Hip Score—Q11 & motion-ratio & \(-0.60\) \\ \hline \hline \end{tabular} The different items/questions in the Oxford Hip Score and Oxford Knee Score are illustrated in Appendix A in this paper.  
\end{table} 
Table 6: Daily strong correlations between SI, FD, and sensor data for 8 participants. \begin{table}
\begin{tabular}{c c c} \hline \hline
**Variable 1** & **Variable 2** & **Correlation Value** \\ \hline SIS (Connectedness) & hr-average & 0.46 \\ \hline SIS (Belonging) & step-sum & 0.45 \\ \hline SIS & hr-max & 0.43 \\ \hline SIS—Q6 & step-sum & 0.42 \\ \hline SIS & heart rate-mean & 0.39 \\ \hline SIS (Belonging) & lightskeepduration & 0.37 \\ \hline SIS—Q6 & durationtosleep & 0.36 \\ \hline SIS & hr-average & 0.36 \\ \hline SIS & heart rate-min & 0.36 \\ \hline SIS—Q2 & heart rate-mean & 0.33 \\ \hline SIS—Q6 & totalsleepduration & 0.33 \\ \hline SIS—Q4 & lightskeepduration & 0.32 \\ \hline SIS—Q5 & motion-ratio & 0.31 \\ \hline SIS (Connectedness) & snoring & 0.30 \\ \hline SIS (Connectedness) & totalsleepduration & \(-0.31\) \\ \hline SIS (Connectedness) & step-ratio & \(-0.33\) \\ \hline SIS (Belonging) & snoring & \(-0.37\) \\ \hline SIS—Q6 & snoring & \(-0.46\) \\ \hline \hline \end{tabular} The different items/questions in the SIS are illustrated in Appendix A in this paper.  
\end{table} 
Table 7: Daily moderate correlations between SI and sensor data for 8 participants. be because better mobility is often associated with better overall physical health, which might contribute to more uninterrupted sleep. The negative correlation between TUG and duration of sleep (\(-0.33\)) could suggest that individuals who are more mobile (indicated by lower TUG times) tend to fall asleep faster. This might be due to higher levels of physical activity contributing to better sleep efficiency and faster sleep onset.