The best explanation of PCA and PLS-DA comes from the group where it originated - Svante Wold's group at Umea university (see wikipedia definition of chemometrics for potted version of the history)

Cross-Validatory Estimation of the Number of Components in Factor and Principal Components Models

Svante WoldTechnometricsVol. 20, No. 4, Part 1 (Nov., 1978), pp. 397-405Published by: Taylor & Francis, Ltd. on behalf of American Statistical Association and American Society for QualityDOI: 10.2307/1267639

or

A chemometrics toolbox based on projections and latent variables

Lennart Eriksson Johan Trygg Svante WoldFirst published: 13 January 2014 https://doi.org/10.1002/cem.2581

There are some good articles such as

https://www.cs.princeton.edu/picasso/mats/PCA-Tutorial-Intuition_jp.pdf that present PCA from both geometric and matrix algebra aspects.

There are plenty of other visual descriptions and youtube tutorials (see below)

https://www.youtube.com/watch?v=f9mZ8dSrVJA

http://workflow4metabolomics.org/sites/workflow4metabolomics.org/files/files/w4m_HowToPerformStatisticalAnalysis_4_MultivariateModelling_150923.pdf

https://www.youtube.com/watch?v=BfTMmoDFXyE

https://coolstatsblog.com/2015/03/21/principal-component-analysis-explained/

Then if you want to implement your own script in R or PYTHON - try

https://www.analyticsvidhya.com/blog/2016/03/practical-guide-principal-component-analysis-python/

You can refer the book

Malhotra N K and Dash S: Marketing Research: An applied orientation, Pearson Education, Edition 6, 2012.

Chapter 19 Discusses Factor Analysis.

Andy field's book on spss

Hi Hanuman,

You can refer to the book titled;

Principal Components Analysis - George H. Dunteman - Google Books.

You can also check some journals to see how they apply PCA to answer their research question. Some of the journals are;

Article Assessment of the Surface Water Quality in Northern Greece

Article Pattern Recognition Techniques for the Evaluation of Spatial...

Assessment of water quality in Baiyangdian Lake using multivariate statistical techniques.

Best regards.

Hi Hanuman,

Pearson published a principal-axis approach in 1901 in UK, and Hotelling further developed it in 1933 in USA. These are the historical references (when PCA is considered created). I can provide you details about the references if you want (just send me an email). However, there were later articles that explained PCA aiming to concrete purposes or in a more pedagogical way. If you want a reference to understand and see how to use PCA, I would recommend Carey 1975 or Jolliffe 2002 (the latter is a book entitled Principal Component Analysis, the author is I.T. Jolliffe, and the book is part of the Springer Series in Statistics), as well as some application articles to see some examples. On the other hand, most of chemometrics books have an introduction to PCA including examples.

Best,

Beatriz

Like Beatriz said, reading Jolliffe's book would be great to learn PCA. If you want, I can send you the book. Just send me an mail me for this.

I've found that the article below has a very understandable description of PCA. I use it anytime I need to lecture about PCA or related topics.

Article Near-infrared spectroscopy and imaging: Basic Principles and...