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where W u is the eigenvectors matrix, i.e., the dictionary, and P u =Σ u [V u ] T is the matrix of principal components, i.e., the activations matrix.
P was a matrix of principal component vectors, S was the vector of genotypes at the candidate marker, and I was an identity matrix.
(A) Dendrogram of clustering pattern measured from the matrix of principal components of 32 recurrence-associated pathways (p- value < 0.01) from public HCV-HCC.
(A) Dendrogram of clustering pattern measured from the matrix of principal components of 90 recurrence-associated pathways (p- value < 0.01) from public HBV-HCC.
This analysis is composed by a first step, a classical PC analysis, and a second step, which is the actual discriminant analysis applied to the matrix of principal components.
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As a third approach we used the method ParaFit [ 39] that uses matrices of principal coordinates, derived either from patristic distances (summed branch lengths along a phylogenetic tree; in that case, S. acaulis was excluded) or genetic distances, and the matrix of presence/absence of host parasite associations.
Fig. 3 Matrix eigenvalues of principal component analysis (PCA) Fig. 4 Matrix eigenvalues of kernel principal component analysis (KPCA).
Finally, the data that used to construct codebook and sample matrix of linguistic principal component analysis is obtained through questionnaire survey.
Let G be the genotype matrix, Q j, j = 1, 2 are vectors of two quantitative traits, E i i = 1, 2, 3, are vectors of covariates (age, sex and smoking status, respectively), and R is the matrix of ten principal components of genotype matrix obtained using the software Eigenstat [ 23].
Bro et al. nicely illustrates this for the validation objects in row-wise cross-validation, i.e. leaving out objects (stored in rows of a matrix), in case of principal component analysis which is analogous to the situation in the inner loop [23].
From the covariance matrix of the compounds, principal component analysis (PCA) is performed to find similar clusters of compounds.
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