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( varvec{C}_{p} ) is the error variance covariance matrix of group p, and σ p 2 and ( varvec{Q}_{p} ) are the variance factor and cofactor matrix, respectively.

TNT [ 22] represents the trees in a matrix of group membership variables with state 1 for members and 0 for non-members.

The expression (number of reads) of all genes which were not classified into a category were added together to form the last row of the matrix of group expression.

We used separate conical variate analyses (CVA; JMP 5.1.1 statistical software) for each dataset, which generates a classification matrix of group membership, with individual posterior probabilities, based on multivariate discriminant functions.

Uncorrected and size-corrected skull shape variation was visually assessed using between-groups PCA (BG-PCA, [ 46]), which is a modification of the most-commonly-used PCA that takes into account a priori individual grouping by identifying PCs from the variance-covariance matrix of group mean shapes and then projecting all individuals into these components [ 110].

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Figure  3 b shows a side-by-side comparison of the FC matrix of the group of neonates and the group of adults.

To better understand the factors that influence the predictive ability of a specific model for different validation datasets, we analyzed the matrix of base group contributions (Q) and derived base group estimates, as well as their prediction errors, using M0 and M2.

The subsystems are grouped according to their measurement accuracy and the state parameters and covariance matrix of a group can be calculated using the federated filter structure and propagated to the next group step-by-step.

Using the membership matrix of each group of samples it can be calculated how typical a sample is for each group.

The homography matrix of each group is fed into Equation (3) to calculate the value of H*m and compare the deviation dev between the actual m' and the calculated H*m, where num is the number of matching feature pairs.

Analysis of the matrix of base group contributions (Q) revealed several general breed-specific aspects.

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