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R for Data Science Cookbook (n)

You're reading from   R for Data Science Cookbook (n) Over 100 hands-on recipes to effectively solve real-world data problems using the most popular R packages and techniques

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Product type Paperback
Published in Jul 2016
Publisher
ISBN-13 9781784390815
Length 452 pages
Edition 1st Edition
Languages
Tools
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Author (1):
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Yu-Wei, Chiu (David Chiu) Yu-Wei, Chiu (David Chiu)
Author Profile Icon Yu-Wei, Chiu (David Chiu)
Yu-Wei, Chiu (David Chiu)
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Table of Contents (14) Chapters Close

Preface 1. Functions in R FREE CHAPTER 2. Data Extracting, Transforming, and Loading 3. Data Preprocessing and Preparation 4. Data Manipulation 5. Visualizing Data with ggplot2 6. Making Interactive Reports 7. Simulation from Probability Distributions 8. Statistical Inference in R 9. Rule and Pattern Mining with R 10. Time Series Mining with R 11. Supervised Machine Learning 12. Unsupervised Machine Learning Index

Determining the number of principal components using the Kaiser method

In addition to a screeplot, we can use the Kaiser method to determine the number of principal components. In this method, the selection criteria retain eigenvalues greater than 1. In this recipe, we demonstrate how to determine the number of principal components using the Kaiser method.

Getting ready

Ensure you have completed the previous recipe by generating a principal component object and saving it in variable eco.pca.

How to do it…

Perform the following steps to determine the number of principal components with the Kaiser method:

  1. First, obtain the standard deviation from eco.pca:
    > eco.pca$sdev 
     [1] 2.2437007 1.3067890 0.9494543 0.7947934 0.6961356 0.6515563
     [7] 0.5674359 0.5098891 0.4015613 0.2694394
    
  2. Next, obtain the variance from swiss.pca:
    > eco.pca$sdev ^ 2
     [1] 5.0341927 1.7076975 0.9014634 0.6316965 0.4846048 0.4245256
     [7] 0.3219835 0.2599869 0.1612515 0.0725976
    
  3. Select the components with a variance...
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