Principal component analysis (PCA)

**Keywords**

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**Description:**

**Bibliography**

**Related training material**

PCA, Correlation, quantitative variables, explained variance, eigenvalues.

This module aims to introduce and explain Principal Component Analysis technique

By the end of this module you will be able to:

- Know the logic of PCA;

- Know the requirements

- conduct a PCA

-conduct a PCA in R with the FactorMineR package

In this training module, the multidimensional analysis technique called Principal Components Analysis (PCA) will be presented, whose objective is to reduce the dimensionality of a phenomenon under investigation while preserving the information contained in it. The technique is applicable to phenomena measured with quantitative variables, thus distinguishing itself from other dimensionality reduction techniques, such as simple correspondence analysis (CA) or multiple correspondence analysis (MCA), developed for the analysis of qualitative variables.

The last part of the module will be dedicated to the application of PCA with R.

Pozzolo P., *Analisi delle componenti principali: da dove partire*, https://paolapozzolo.it/analisi-delle-componenti-principali-criteri/

Gilardone A., *Analisi delle componenti principali: 7 passaggi da eseguire* https://adrianogilardone.com/analisi-delle-componenti-principali/

Gilardone A., https://www.youtube.com/watch?v=OksC-g4K2gY

Vardanega A., L’Analisi in componenti principali

https://www.agnesevardanega.eu/wiki/r/analisi_esplorativa/analisi_in_componenti_principali

Zakaria Jaadi, *A Step-by-Step Explanation of Principal Component Analysis (PCA)*, https://builtin.com/data-science/step-step-explanation-principal-component-analysis

Ian T. Jolliffe and Jorge Cadima, *Principal component analysis: a review and recent developments*, https://royalsocietypublishing.org/doi/10.1098/rsta.2015.0202

Science Snippets Blog, *What Is Principal Component Analysis (PCA) and How It Is Used?*, 2020 https://www.sartorius.com/en/knowledge/science-snippets/what-is-principal-component-analysis-pca-and-how-it-is-used-507186