How Should Principal Component Analysis (PCA) Score Plots Be Interpreted and What Is Their Significance?
In a principal component analysis (PCA) score plot, the horizontal and vertical axes represent different principal components (PCs). The position of each sample within the principal component space is determined by its scores on the respective components. These scores are obtained by projecting the original data onto the principal components. In general, higher scores indicate greater contributions of a sample to the corresponding component.
PCA score plots serve as powerful tools for interpreting the structure of multivariate data and exploring relationships among samples. Specifically, they provide the following types of information:
Similarity and Dissimilarity Among Samples
The PCA score plot visualizes the spatial arrangement of samples within the principal component space, allowing for intuitive assessment of their relative positions. Samples that appear closer together exhibit similar characteristics in terms of the principal components, while those farther apart are more dissimilar in their underlying features.
Importance of Variables
Although score plots primarily display sample distributions, they also reflect the influence of original variables through the directions of the principal components. The contribution of each variable to a given principal component is represented by the variable’s loading on that component. A larger loading indicates a greater influence of the variable on that component, thereby shaping the interpretation of sample separation in the plot.
Clustering and Grouping Patterns in the Data
PCA score plots can reveal clustering or grouping tendencies among the samples. When distinct clusters or groupings emerge in the plot, they may correspond to underlying categories, sample types, or meaningful data subgroups. This clustering insight can be valuable for hypothesis generation or guiding further classification analyses.
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