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Canonical Correlation Analysis

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Presentation on theme: "Canonical Correlation Analysis"— Presentation transcript:

1 Canonical Correlation Analysis

2 Description Two Sets of Variables Observed on Units
Set 1 has p Variables, Set 2 has q with p ≤ q Goal: Measure the association between the two sets of variables Makes use of constructed linear combinations from the two sets and measures the correlation between the two linear combinations Subsequent linear combinations uncorrelated with previous ones Pairs of Linear Combinations ≡ Canonical Variables Correlations among Pairs of LCs ≡ Canonical Correlations

3 Model Description - I

4 Model Description - II

5 Obtaining Canonical Variables

6 Standardized Variables

7 Interpretation of Population Canonical Variables - I

8 Interpretation of Population Canonical Variables - II

9 Sample Canonical Correlation Analysis - I

10 Sample Canonical Correlation Analysis - II

11 Sample Descriptive Measures - I

12 Sample Descriptive Measures - II

13 Sample Descriptive Measures - III

14 Proportions of Sample Variance Explained

15 Large-Sample Tests


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