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96     CHAPTER 5 Modeling the SMBG measurement error




                         (on average 27 per subject). Similarly, to the OTU2 dataset, diet, and insulin therapy
                         were arranged to make BG vary in a wide range. Fig. 5.7 shows the SMBG and YSI
                         data (blue triangles and red circles, respectively) collected during a clinical session
                         for a representative subject.

                         Preprocessing of YSI and SMBG-YSI matching
                         As for the OTU2 dataset, YSI data were preprocessed to remove possible outliers
                         (full red circles in Fig. 5.7) and derive a quasicontinuous smoothed profile (contin-
                         uous red line in Fig. 5.7) by nonparametric Bayesian smoothing [45]. Then, SMBG
                         measurements were matched to the nearest (in time) sample of the YSI smoothed
                         profile, which was used as a reference sample. As done for the OTU2 dataset,
                         when one or more YSI samples were missing, and thus two consecutive YSI mea-
                         surements were 30 min or more far from each other, the reconstruction of the BG
                         profile over the gaps was considered not reliable, and the SMBG measurements fall-
                         ing inside these gaps were excluded from the analysis (full blue triangles in Fig. 5.7).
                         Specifically, 3.05% of available SMBG measurements were excluded from the
                         analysis.




























                         FIGURE 5.7
                         Preprocessing performed on a 12-h YSI sequence of the BCN dataset. The continuous
                         line represents the quasicontinuous-time smoothed profile obtained from YSI
                         measurements (empty circles) after removing inaccurate samples (full circles). Triangles
                         represent all available SMBG measurements. SMBG samples within YSI gaps are
                         removed from the analysis (full triangles).
                           Adapted from Vettoretti M, Facchinetti A, Sparacino G, Cobelli C. A model of self-monitoring blood glucose
                                      measurement error. Journal of Diabetes Science and Technology 2017;11(4):724e735.
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