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Fig. 1 | BMC Medical Research Methodology

Fig. 1

From: Exploring flexible polynomial regression as a method to align routine clinical outcomes with daily data capture through remote technologies

Fig. 1

Illustration of data for an individual from a hypothetical study to demonstrate two major computational challenges with aligning asynchronous outcome measures, for example FEV1, with daily exposure outcomes, for example resting heart rate (dashed vertical lines represent a study window of 1.5 years; grey dots indicate measured FEV1 values). (1) If collapsing the 547 days of heart rate data to match the 15 FEV1 measurements captured during the study window, 532 (97%) days of the heart rate data would be excluded. (2) Depending on the arbitrary timepoints when baseline and end of study values are measured, the change in FEV1 over the study period could be a large decrease of 16.3% (blue), a small decrease of 9.3% (green), or stable with no change (purple). This has important consequences for drawing conclusions on the effects of the study, since traditionally a difference of 10–12% between measurements is used as the threshold for inferring a clinically meaningful change [10]. A proposed alternative for both issues is to use flexible polynomial regression (yellow line) to mitigate noise and/or estimate a daily, weekly, or monthly value of FEV1 for aligning with data captured from remote monitoring

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