Factor Analysis in Physical Sciences
Factor analysis has also been widely used in physical sciences such as geochemistry, ecology, and hydrochemistry.
In groundwater quality management, it is important to relate the spatial distribution of different chemical parameters to different possible sources, which have different chemical signatures. For example, a sulfide mine is likely to be associated with high levels of acidity, dissolved sulfates and transition metals. These signatures can be identified as factors through R-mode factor analysis, and the location of possible sources can be suggested by contouring the factor scores.
In geochemistry, different factors can correspond to different mineral associations, and thus to mineralisation.
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—Gottlob Frege (1848–1925)
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“I hope I may claim in the present work to have made it probable that the laws of arithmetic are analytic judgments and consequently a priori. Arithmetic thus becomes simply a development of logic, and every proposition of arithmetic a law of logic, albeit a derivative one. To apply arithmetic in the physical sciences is to bring logic to bear on observed facts; calculation becomes deduction.”
—Gottlob Frege (1848–1925)
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—Friedrich Nietzsche (1844–1900)