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234     CHAPTER 9 INTELLIGENCE-BASED HEALTH RECOMMENDATION SYSTEM






                          Table 9.1 Confusion Matrix
                          Total Population        Condition Positive  Condition Negative
                          Predicted condition positive  True positive  False positive
                          Predicted condition negative  False negative  True negative


             4. False positive (FP): If the instance is negative but it is classified as positive.

             •  Sensitivity is the proportion of actual positives which are correctly identified as positives by the
                classifier. It is described in Eq. (9.6).

                                                          TP
                                             Sensitivity ¼                                 (9.6)
                                                       ð TP + FNÞ
             •  Specificity measures the proportion of correctly identified excluded condition when the condition is
                not present. This is described in Eq. (9.7) [15].

                                                          TN
                                             Specificity ¼                                 (9.7)
                                                       ð TN + FPÞ
             •  Predictive value positive is the proportion of positives that correspond to the presence of the
                condition. This is described in Eq. (9.8).
                                                               TP
                                         Predictive value positive ¼                       (9.8)
                                                            ð TP + FPÞ
             •  Predictive value negative is the proportion of negatives that correspond to the absence of the
                condition. It is described in Eq. (9.9).

                                                               TN
                                        Predictivevalue negative ¼                         (9.9)
                                                            ð TN + FNÞ
             Precision: This is a measure of retrieved instances that are relevant, while recall can be defined as the
             fraction of correctly recommended items that are also part of the collection of useful recommended
             items. Precision is described in Eq. (9.10).
                                                 Correctly recommended items
                                            ðÞ
                                     Precision P ¼                                        (9.10)
                                                   Total recommended items
             Recall is described in Eq. (9.11).
                                                Correctly recommended items
                                      Recall RðÞ ¼                                        (9.11)
                                               Total useful recommended items
             The F-measure aids to combine both (precision and recall) into a single score or metric. It is described
             in Eq. (9.12).
                                                          2PR
                                              F Measure ¼                                 (9.12)
                                                         ð P + RÞ
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