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As an experiment, let’s fit PCA again without reducing the number of components and see how much of the variance each component explains. Naturally, the points on the line are still closer to each other than in the original 2D space because you are losing a dimension to distinguish them.
If you want to test a hypothesis about the distribution of a categorical variable you’ll need to use a chi-square test or another nonparametric test. They’re difficult to calculate by hand, which is why most people use a reference table or statistical software instead. Next, click on the menu, or
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