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Retrofitting outpatient study data  229




                  Results
                  Fig. 11.2, bottom panel, shows the outcome of the retrofitting technique in a repre-
                  sentative subject (Patient 1, admission 2). CGM trace is depicted in light blue. Full
                  red dots denote BG measurement assigned to the training set and therefore acces-
                  sible to the retrofitting method. The output of the retrofitting method (tick red
                  line) has to be compared with the test BG references (empty diamonds). The accu-
                  racy improvement with respect to CGM is clear also at visual inspection.
                     Fig. 11.3, top panel, reports the boxplot of the absolute and relative absolute
                  errors on all the test-set references, regardless of the patient and the admission
                  during which they have been collected. Each gray dot represents a measurement.
                  The mean absolute relative deviation (MARD) of the retrofitting method is 7.8%,
                  and 75% of the relative absolute error is below 10.3% as compared with the use
                  of raw CGM, which has an MARD equal to 15.0%, 75th percentile equal to
                  18.9%. Of note, the 50th percentile of CGM errors (12.25%) is larger than the
                  75th percentile of retrofitting errors. Similar considerations hold for absolute
                  deviation. Fig. 11.3, bottom panel, reports the distribution boxplot of the mean
                  absolute deviation (MAD) and MARD of CGM and retrofitted CGM in each patient


                     50                                30
                           MAD                                                 MARD
                    Absolute Error [mg/dl]  30        Relative Error [%]  20
                     40


                     20
                                                       10
                     10
                     0                                  0
                            CGM      Retrofitted CGM          CGM       Retrofitted CGM
                     35                                20
                           mean MAD                                       mean MARD
                    Absolute Error [mg/dl]  25        Relative Error [%]  15
                     30

                     20
                                                       10
                     15
                     10
                                                        5
                     5
                            CGM      Retrofitted CGM          CGM       Retrofitted CGM
                  FIGURE 11.3
                  Evaluation of the retrofitting method on test-set data. Top panel: boxplot of the absolute
                  and relative absolute error (each gray dot represents a reference measurement). Bottom
                  panel: boxplot of MAD and MARD population distribution (each gray dot represents a
                  patient admission).
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