2008
DOI: 10.1002/cem.1147
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Acceptance areas for multivariate classification derived by projection methods

Abstract: In the projection methods (PCA, PLS) two distance measures are of importance. They are the score distance (SD, a.k.a. leverage) and the orthogonal distance (OD, a.k.a. the residual variance). This paper shows that both distance measures can be modeled by the x 2 -distribution. Each model includes a scaling factor that can be described by an explicit equation. Moreover, the models depend on an unknown number of degrees of freedom, which have to be estimated using a training dataset. Such modeling is further app… Show more

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Cited by 120 publications
(67 citation statements)
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“…A supervised extension of PCA was used to establish a statistical model of normality in a healthy population of Turkish neonates (Mohammadi Aygen et al 2011;Pomerantsev 2008;Vanderginste and Massart 1998). In this approach hierarchical multi-model/soft independent modeling for class analogy (HMM/SIMCA) was used.…”
Section: Discussionmentioning
confidence: 99%
“…A supervised extension of PCA was used to establish a statistical model of normality in a healthy population of Turkish neonates (Mohammadi Aygen et al 2011;Pomerantsev 2008;Vanderginste and Massart 1998). In this approach hierarchical multi-model/soft independent modeling for class analogy (HMM/SIMCA) was used.…”
Section: Discussionmentioning
confidence: 99%
“…In particular, recently other criteria for the definition of the model space have been proposed by Pomerantsev [26]. …”
Section: Soft Independent Modeling Of Class Analogies (Simca)mentioning
confidence: 99%
“…On the other hand, the score distance gives an account of how far the observation is from the bulk of samples of the particular class, and, as the name suggests, is linked to the value of the scores. Starting from this general concept, several ways of defining the terms in Equation 12 have been proposed (33,(37)(38)(39). Among these, one of the most frequently used relies on statistics borrowed from multivariate statistical process control (MSPC; 40), and defines OD ig and SD ig using the two variables T 2 and Q, which represent the squared Mahalanobis distance of a sample to the center of the score space and the sum of the squared residuals, respectively.…”
Section: Class-modeling Techniquesmentioning
confidence: 99%