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A genetic algorithm based on the minimization of an error function derived from their covariance matrix and vector of means is presented.
The covariance matrix, along with a vector of means, relating to the alternative hypothesis is generated.
The estimated parameters of the model are used to calculate an implied covariance matrix, Σ and an implied vector of means.
Or we can adjust each vector of means for prescore level, and test the hypothesis of equality of means for the groups using Wilks' λ or Hotelling's T.
Once all the missing values have been replaced, a variance covariance matrix and a vector of means from the completed data are calculated.
The approach is fully efficient, because the variance-covariance matrix of the vector of means y is diagonal with elements equal to var e) [ 14].
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The optimal set of weights is defined as the product of the inverse of the response covariance matrix the vector of mean differences in response between the signal and noise trials.
For GMM creation it is necessary to determine the covariance matrix Σ, the vector of mean values μ, and the weighting parameters α k from the input training data.
where indicates the Gaussian distribution; μ l is a D-dimensional vector of mean parameters defined for the lth leaf; Also, Σ is a D-by-D covariance matrix that is used for all leaves.
Weigelt et al. reported a method assigning prediction for each single patient based on correlation to "centroid" (a vector of mean expression levels of signature genes calculated for each subclass in training set) [17].
<img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0015003.e006.PNG" class= inline-graphic"/> where x is an n-component vector of protein levels, µ is an n-component vector of mean protein levels, Σ is the n x n covariance matrix and |Σ| and Σ−1 are its determinant and inverse.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com