2016
DOI: 10.1016/j.chemolab.2015.11.005
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Common components and specific weights analysis: A tool for metabolomic data pre-processing

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Cited by 22 publications
(9 citation statements)
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“…The components are extracted such that they correspond to the maximum amount of variance that is common to the largest number of blocks. In other words, it tries to find a common space for all the blocks, where each block has a specific weight (called salience) for the definition of each direction in that space, as represented by Equation 33 : Wi=iQT=falsefalseboldj=bold1boldj=boldnλjiqjqjT, where Q is the matrix with columns that are the common components defined by q j . Λ i is the diagonal matrix of which the j th diagonal element is λjbold-italici, is the salience/weight of the i th table for the j th CC generated by q j , and W i is the i th sample‐based variance–covariance matrix.…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The components are extracted such that they correspond to the maximum amount of variance that is common to the largest number of blocks. In other words, it tries to find a common space for all the blocks, where each block has a specific weight (called salience) for the definition of each direction in that space, as represented by Equation 33 : Wi=iQT=falsefalseboldj=bold1boldj=boldnλjiqjqjT, where Q is the matrix with columns that are the common components defined by q j . Λ i is the diagonal matrix of which the j th diagonal element is λjbold-italici, is the salience/weight of the i th table for the j th CC generated by q j , and W i is the i th sample‐based variance–covariance matrix.…”
Section: Methodsmentioning
confidence: 99%
“…The components are extracted such that they correspond to the maximum amount of variance that is common to the largest number of blocks. In other words, it tries to find a common space for all the blocks, where each block has a specific weight (called salience) for the definition of each direction in that space, as represented by Equation 2 33 :…”
Section: Common Components and Specific Weights Analysis Comdimmentioning
confidence: 99%
“…Since the number of samples was the same for all blocks, all W i matrices had the same size (n×n). The common dimensions of all matrix were calculated iteratively according to 35,46 where d is the number of dimensions which has to be fixed, λdim (i) is the specific weight (=“salience”) of the matrix X i in the construction of the common component q dim in the dimension dim , and R i is the residual matrix of X i . So, each common component q dim is weighted by a scalar λdim (i) reflecting the contribution of the matrix X i in the construction of q dim .…”
Section: Methodsmentioning
confidence: 99%
“…Common Components and Specific Weights Analysis (CCSWA) is proposed as a novel method for correction of analytical bias such as intensity variability (both within‐ and between‐batch effects) in LC‐MS‐based metabolomics studies . Using two different, LC‐ToF‐MS study datasets the authors compared against locally weighted scatterplot smoothing (LOWESS/ LOESS) normalization, and demonstrated the superiority of CCSWA in handling noncontinuous effects in a batch as well as between batch effects.…”
Section: Data Preprocessing Toolsmentioning
confidence: 99%