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Nimon K, Henson RK, Gates MS. Revisiting Interpretation of Canonical Correlation Analysis: A Tutorial and Demonstration of Canonical Commonality Analysis. Multivariate Behav Res. 2010;45(4):702-24doi: 10.1080/00273171.2010.498293.
Nimon, K., Henson, R. K., & Gates, M. S. (2010). Revisiting Interpretation of Canonical Correlation Analysis: A Tutorial and Demonstration of Canonical Commonality Analysis. Multivariate behavioral research, 45(4), 702-24. https://doi.org/10.1080/00273171.2010.498293
Nimon, Kim, et al. "Revisiting Interpretation of Canonical Correlation Analysis: A Tutorial and Demonstration of Canonical Commonality Analysis." Multivariate behavioral research vol. 45,4 (2010): 702-24. doi: https://doi.org/10.1080/00273171.2010.498293
Nimon K, Henson RK, Gates MS. Revisiting Interpretation of Canonical Correlation Analysis: A Tutorial and Demonstration of Canonical Commonality Analysis. Multivariate Behav Res. 2010 Aug 06;45(4):702-24. doi: 10.1080/00273171.2010.498293. PMID: 26735715.
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Multivariate Behav Res. 2010 Aug 06;45(4):702-24. doi: 10.1080/00273171.2010.498293.

Revisiting Interpretation of Canonical Correlation Analysis: A Tutorial and Demonstration of Canonical Commonality Analysis.

Multivariate behavioral research

Kim Nimon, Robin K Henson, Michael S Gates

Affiliations

  1. a University of North Texas.

PMID: 26735715 DOI: 10.1080/00273171.2010.498293

Abstract

In the face of multicollinearity, researchers face challenges interpreting canonical correlation analysis (CCA) results. Although standardized function and structure coefficients provide insight into the canonical variates produced, they fall short when researchers want to fully report canonical effects. This article revisits the interpretation of CCA results, providing a tutorial and demonstrating canonical commonalty analysis. Commonality analysis fully explains the canonical effects produced by using the variables in a given canonical set to partition the variance of canonical variates produced from the other canonical set. Conducting canonical commonality analysis without the aid of software is laborious and may be untenable, depending on the number of noteworthy canonical functions and variables in either canonical set. Commonality analysis software is identified for the canonical correlation case and we demonstrate its use in facilitating model interpretation. Data from Holzinger and Swineford (1939) are employed to test a hypothetical theory that problem-solving skills are predicted by fundamental math ability.

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