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This paper addresses the problem of noise reduction with simultaneous components extraction in vibration signals for faults diagnosis of bearing.
Cross-lagged components model the causal effect as observed at a later point in time, while simultaneous components are observed at the same time.
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A nested analysis of variance combined with simultaneous component analysis, ASCA, was proposed to model high-dimensional chromatographic data.
Multilevel Simultaneous Component Analysis with invariant Pattern (MSCA-P) is applied to explore this historical dataset in the context of flux decline.
Therefore in this article, we propose 1) to adopt another way of defining and organizing the blocks from the initial matrix and 2) to apply Multiple Co-inertia Analysis (MCoA) a multiblock method different from Simultaneous Component Analysis to manage this new scenario.
In the case of a well-designed experiment involving two or more factors (crossed or nested), data are usually decomposed into the contributions associated with the studied factors (and with their interactions), and the individual effect matrices are then analyzed using, e.g., PCA, as in the case of ASCA (analysis of variance combined with simultaneous component analysis).
ANOVA- Simultaneous Component Analysis (ASCA) allowed the separation of the two sources of variation, suggesting thatthe TBT dose affected the evolution of the concentrations of lipids over time, although when the whole development process was considered, the interaction between time and dose factors was rather low.
In this work, the selected approach has been the ANOVA simultaneous component analysis (ASCA) method [ 37].
In addition, a Multilevel Simultaneous Component Analysis (MSCA) [ 37] was applied to the non-normalized data set.
For ANOVA simultaneous component analysis (ASCA), the data matrix was rearranged as can be seen in Figure 6a.
MSCA is a combination of Analysis-of-variance and Simultaneous Component Analysis and it enables analysis of metabolomic studies with an experimental design.
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