1
Introduction
2
Principle Component Analysis
2.1
What is PCA?
2.2
Data: Sensory Profiles of Sausages
2.3
PCA Analysis
2.3.1
Scree Plot
2.3.2
Testing the eigenvalues
2.3.3
Rows Factor Scores
2.3.4
Columns Factor Scores
2.3.5
Contributions and Bootstrap Ratio of Columns
2.4
Conclusion
2.4.1
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3
Barycentric Discriminant Analysis
3.1
What is BADA?
3.2
Heat Map
3.3
BADA Analysis
3.3.1
Scree Plot
3.3.2
Row Factor Scores
3.3.3
Column Factor Scores
3.3.4
CONTRIBUTIONS AND BOOTSTRAP RATIOS
3.3.5
Prediction & Confusion Matrix:
3.4
Conclusion
3.4.1
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4
Multiple Correspondence Analysis
4.1
What is MCA?
4.2
Data: Sensory Profiles of Sausages
4.3
Binning Data:
4.4
Heat Map:
4.5
MCA Analysis
4.5.1
Scree:
4.5.2
Factor Scores Group Means:
4.5.3
Variables Factor Scores:
4.5.4
Contributions:
4.5.5
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4.6
Conclusion
5
Discriminant Correspondence Analysis
5.1
What is DiCA?
5.2
Binning
5.3
Heat Map
5.4
DICA Analysis
5.4.1
Scree Plot
5.4.2
Row Factor Scores
5.4.3
All Observations and Their Maps
5.4.4
Group Means and Their Maps
5.4.5
Make Tolerance Intervals
5.4.6
Make Boostrap Intervals
5.4.7
Columns Factor Scores
5.4.8
Contributions and Bootstrap Ratios
5.5
Confusion Matrix
5.5.1
Fixed Data Confusion Matrix:
5.5.2
Fixed Data Confusion Matrix Accuracy:
5.5.3
Random Confusion Matrix:
5.5.4
Random Confusion Matrix Accuracy:
5.6
Conclusion
5.6.1
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6
Partial Least Squares Correlation
6.1
What is PLSC?
6.2
Dividing The Data and Processing
6.3
Heat Maps of The 2 Sets of Variables
6.4
PLSC Analysis
6.4.1
Scree Plot
6.4.2
Rows Factor Scores
6.4.3
Columns Factor Scores
6.4.4
Contributions and Bootstrap Ratios
6.5
Conclusion
6.5.1
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7
Multiple Factor Analysis
7.1
What is MFA?
7.2
Data Processing
7.2.1
Data Processing:
7.3
MFA Analysis
7.3.1
Heatmaps: Rv matrix and Processed Data (Corrplot)
7.3.2
Scree Plot: Rv matrix and Compromise
7.3.3
Weights (alpha)
7.3.4
Factor Scores
7.3.5
Contributions
7.4
Conclusion
7.4.1
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7.5
Comparison Table Between PCA, BADA, PLSC, MFA
8
Correspondence Analysis
8.1
What is CA?
8.2
Data: Strawberry emotions in kids Colombia
8.3
CA Analysis
8.3.1
Run CA
8.3.2
Scree Plot
8.3.3
Permutation Test
8.3.4
Factor Scores
8.4
Conclusion
9
DiSTATIS
9.1
What is DiSTATIS?
9.2
Data: Frech vs South African Wines
9.3
Correlation Plots
9.3.1
of Product Ratings
9.3.2
of Vocab
9.4
DiSTATIS Analysis
9.4.1
Scree Plot
9.4.2
Weights of each judge
9.4.3
Factor Scores
9.5
Conclusion
9.5.1
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Multivariate Statistical Analysis with R: PCA & Friends making a Hotdog
2
Principle Component Analysis