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Channel matrices were normalized in order that the mean Frobenius norm after averaging over the 260 channel realizations be equal to NtNr = 16.
Secondly, all the elementary matrices were normalized by dividing all their elements by the root of the first eigenvalue of their respective PCA.
SpectConnect generated matrices were normalized to the total signal and utilized for principal components analysis in Statistica 8.0 (StatSoft, Tulsa, USA).
The two Euclidean and Manhattan between-subject distance matrices were normalized by scaling between 0 and 1 [ 24] and aggregated into a single between-subject distance matrix by taking their weighted average [ 2].
The group level spatial ICA maps generated by MELODIC were used for regression to give a set of time-courses in each individual's 4D data, and the time course matrices were normalized by their variance and used in a linear model fit against each individual fMRI dataset to get individual-specific spatial maps which reflect the functional coherence within each specific network.
Matrices were normalized using the sequential component normalization procedure (SCN) described in Cournac et al. (2012), similar to the iterative normalization procedure described in Imakaev et al. (2012).
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For the sake of comparison, the entries of the sensor-based matrices are normalized by the total number of contacts recorded in the household, thus yielding the contact fraction measured between age groups.
We did not enforce that the substitution rate matrices be normalized to one expected substitution per unit of time (as is common in some molecular evolution analysis), since we wanted to account for the fact that stem regions evolve more slowly than loop or intergenic regions.
The values on the matrices are normalized according to R ij = C j / T i, where T i is the total number of genes belonging in disease i and C j is the number of these T i genes that were clustered to belong to class j.
Density distribution function values generated by the real phage selected scoring matrix were normalized by the averages of corresponding values obtained by the randomized matrices.
By removing the 160 diagonal elements, the 12720 upper triangular elements of the functional connectivity matrix were normalized using Fisher's z-transformation [ 36] and then used as the features for all subsequent multivariate pattern analyses.
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