Sentence examples for matrix of standardized from inspiring English sources

The normalization in CA is the matrix of standardized residuals (T = D_{r}^{-1/2} P-rc^{T} P-rc^{{-1/2}), where P=N/n is T}e so-calleD_{c}respondence matrix with N being the original data matrix and n its grand total.

In PCA, each manifest variable is a linear function of principal components, with no separate representation of unique variance {text{Y}} = {text{Z}}_{text{c}} {text{K}}_{c}^{prime }where, Zc is a N*p matrix of standardized component scores and Kc is a p*p matrix of component loading.

For the classification of samples, cluster analyses were performed on a Bray-Curtis dissimilarity distance matrix of standardized genera abundance data, derived from 16S rDNA amplicon libraries generated from extracted RNA (cDNA) or DNA, based on group average by the Unweighted Pair Groups Method using Arithmetic means agglomeration algorithm (UPGMA).

We confirmed the validity of the projection method by calculating the correlation of the matrix of standardized Euclidean distances based on the 66 dimensions with the Euclidean distances based on projections to two (r2 = 0.75) or three (r2 = 0.81) dimensions.

The variance-covariance matrix of standardized meristic variables was used.

We found that the matrix of standardized genotypes exhibits the theoretical phase transition between poor and complete selection of nonzeros (Proposition 1).

A major challenge of future work will be the elaboration of standardized methods by which the phylogenetic species and the 'pseudoharzianum matrix' detected here can be conveniently differentiated with predictable biological activities.

First, the columns of the data matrix were standardized to average 0 and variance 1 since we were investigating sample variation in the sense of linear correlation, as opposed to Euclidean distance.

First, we assume that the elements of the incidence matrix are standardized such that ∑ i = 1 n X i j = 0 and ∑ i = 1 n X i j 2 = n.

Since the studied characters are of different types (size, ratio, ordinal), the PCA has been performed on the correlation matrix (data standardized to mean zero and unit standard deviation) for all characters.

Data in the matrix were standardized to overcome large differences in the range and units of the measured variables.