Timing errors and temporal uncertainty in clinical databases—A narrative review

Figures

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  Figure 1. Times recorded in clinical databases may not represent the true time the event occurred. The precision and accuracy of a recorded time may be affected by several different factors.

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  Figure 2. Approximate accuracy and resolution of different time sources in the ICU. Positions of the ellipses are determined by the summation of factors discussed in the literature cited in Sections 1–4. The position of a device shown in this figure indicates its approximate precision and accuracy before any of the timekeeping improvements described in Section 6 have been implemented.

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  Figure 3. Conceptual illustration of heteroscedastic uncertainties associated with a time series of temperature measurements. This figure illustrates concepts discussed in the literature cited in Sections 4.3, 7.1, and 7.2. Two different thermometers were used to measure temperatures during a hypothetical experiment, a mercury thermometer with a resolution of 1°C and a digital thermometer with a resolution of 0.1°C; times for each temperature were recorded using two different timepieces, a wall clock with a temporal resolution of 1 min and a wristwatch with temporal resolution of 1 s. Four observations (labeled a, b, c, and d) are made using different combinations of these clocks and thermometers. Panel (A) shows a plot of the numerical values displayed on the instruments when making the observation, while Panel (B) uses shaded regions to represent the range of possible true values that could have resulted in these values. The shape of the shaded regions in Panel (B) are determined by the temporal and thermal resolution of the instruments used to make each individual observation. For simplicity, other sources of uncertainty are not considered in this figure.

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  Figure 4. Conceptual illustration of epistemic and aleatoric uncertainties resulting from clock drift. This figure illustrates concepts discussed in the literature cited in Sections 2.2 and 7.1. A series of measurements of time are made using a hypothetical clock that is synchronized with a more accurate timepiece once every 300 seconds. Panel (A) shows timing errors caused by a drift rate measured to one significant figure (3 ppm), while panel (B) shows timing errors caused by a drift rate measured to two significant figures (3.2 ppm). Shaded regions in Panels (C,D) show the accuracy and precision of temporal measurements assuming these two drift rates 50 and 170 s after synchronization (labeled t1 and t2, respectively). Note that imprecisely specified drift rates result in aleatoric uncertainties that increase as a function of time, and that the magnitude of the uncertainty is inversely proportional to the number of significant figures used to specify the drift rate.