The principal component



Example: Principal component reduces data dimensions while preserving variance

Definition


"The principal component" is the main underlying factor or direction in a dataset that explains the most variance. In data analysis, it is used to reduce dimensionality by transforming original variables into new, uncorrelated variables that capture key patterns.

Etymology


The term "the principal component" comes from statistics and linear algebra, where 'principal' means 'most important' or 'main,' and 'component' refers to a part of a whole. It was popularized in the context of principal component analysis (PCA), a technique developed in the early 20th century by Karl Pearson to simplify complex data.

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"The principal component" appears in the Vocaplus list "English - Data & AI - (A1-C2) - set 1", containing 110 commonly used words.
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