Spring of 2022
The goal of this project was to determine the occurrence of sleep apnea by analyzing biometric data, including heart rate, chest volume, and blood oxygen concentration, recorded from a single individual over an 8-hour period. The individual had a known sleep apnea condition, and the study required further analysis to accurately extrapolate sleep apnea incidents. Models were created for each variable separately using a small window of the data. The heart rate followed an AR(5) model, the chest volume an ARIMA(2,0,10)×(0,1,2) model, and the blood oxygen concentration an ARMA(5,8) model. However, these models revealed non-normally distributed residuals, with the exception of blood oxygen concentration, which also exhibited dependently distributed residuals. The use of stationary models failed to replicate the variation observed in the biometrics. Spectral analysis was recommended to analyze heart rate and blood oxygen concentration, while a different model was needed to examine chest volume.
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