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Each succeeding component has in turn the next highest possible variance.
They are obtained in such a way that first principle component accounts for most of the possible variation of original data after which each succeeding component has the highest possible variance.
The extracted components have the following features: (1) the first component will explain the highest possible variance of all determined components, (2) the successive components will explain the variance that the previous components did not explain, and (3) variables loaded in each component are linearly independent to the ones loaded in the remaining components.
Moreover for forecasts of future height development, it seems advantageous to describe the highest possible variance partition as a function of dynamic (i.e. time-varying) covariates through their fixed effects, because it can be assumed that the information from measured dbh-height pairs becomes less meaningful with increasing simulation period.
The principal components are so derived that they are uncorrelated with each other, and the first component accounts for the highest possible variance, the second the second highest variance, and so on.
The projections use orthogonal transformations defined in such a way that the first principal component (first axis) has the highest possible variance in order to synthesise most of the initial information.
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The first principal component has the largest possible variance, and each succeeding component in turn has the highest variance possible.
In this transformation, the first principal component has the largest possible variance, and each succeeding component in turn has the highest variance possible under the constraint that it be orthogonal to the preceding components.
The first principal component (F1) has the largest possible variance, and each succeeding component (F2, F3, …Fn) in turn has the highest variance possible under the constraint that it is orthogonal to the preceding components.
PCA represents a feature extraction technique where the methylation data is orthogonally transformed, such that the first principal component has the largest possible variance (accounts for maximal amount of variability in the methylation data), and each succeeding component in turn has the next highest variance possible.
Here the first principal component has the largest possible variance.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com