Quadratic discrimination score

FDA is used to diagnose faults by modifying the quadratic discrimination score for the ith population defined in Eq. 3.41 in the FDA framework such that... 

Maximizing the posterior probabilities in case of multivariate normal densities will result in quadratic or linear discriminant rules. However, the mles are linear if we use the additional assumption that the covariance matrices of all groups are equal, i.e., X = = Xk=X- In this case, the classification rule is based on linear discriminant scores dj for groups j... 

Tables Discriminant scores using the quadratic discriminant function as classifier (a), and the resulting confusion matrix (b)...

The generalized variance Si, the prior probability pi and the Mahalanobis distance contribute to the quadratic score dj (x). Using the discriminant scores, the minimum total probability of misclassification rule for Normal populations and unequal covariance matrices becomes [126] ... 

Score Discriminant Assuming that PC models retain sufficient variation to discriminate between possible causes in scores that have independent Normal distributions, the maximum likelihood that data x collected at a specific sampling time are from fault model i is indicated by the minimum distance. This minimum can be determined for example by the maximum of di expressed by quadratic discrimination (Eq. 3.41)... 

Table 5.3 Discriminant scores using the quadratic discriminant function as...

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