Fundamentals of Statistics contains material of various lectures and courses of H. Lohninger on statistics, data analysis and here for more.

Exercise - Detection of mixtures of two different wines by PCA

The following exercise shows the effects of mixtures in the PCA plot. Use the data set WINES_TWOBRANDS and use the  DataLab  to perform your experiments.

How to proceed:

  • use the samples "OLO1773" and "ERA2478" and create 9 mixtures with different ratios of both samples (i.e. 10/90 %, 20/80 %, .... of them); therefore,
  • resize the data matrix to make room for an extra 9 rows
  • write a math script to create the mixtures
  • now look at the principal components plot

Additional task: blend several wines (not only two) and check the results in the principal components plot.