Canonical correlations in agricultural research: Method of interpretation used leads to greater reliability of results

Authors

  • Maria Inês Diel Universidade Federal de Santa Maria
  • Alessandro Dal'Col Lúcio Universidade Federal de Santa Maria
  • Darlei Michalski Lambrecht Universidade Federal de Santa Maria
  • Marcos Vinícius Marques Pinheiro Universidade Federal de Viçosa
  • Bruno Giacomini Sari Universidade Federal de Santa Maria
  • Tiago Olivoto Universidade Federal de Santa Maria
  • Oscar Valeriano Sánchez Valera Instituto Nacional do México
  • Patrícia Jesus de Melo Universidade Federal de Santa Maria
  • Francieli de Lima Tartaglia Federal University of Santa Maria
  • André Luis Tischler Federal University of Santa Maria
  • Denise Schmidt Universidade Federal de Santa Maria

DOI:

https://doi.org/10.31686/ijier.vol8.iss7.2464

Keywords:

Canonical weights, Canonical loadings, Cross-loadings, Multicollinearity, Methods

Abstract

Canonical correlations analyzes are being used in the agrarian sciences and constitute an important tool in the interpretation of results. This analysis is performed by complicated mathematical equations and it is only possible to use it thanks to the development of computational software, which allow different interpretations of results, and it is up to the researcher to choose according to his knowledge. Canonical correlations can be interpreted using canonical weights, canonical loadings, or canonical cross-loadings. In Brazil, most of the works that use these analyzes interpret the canonical weights. Therefore, this study aims to show, through an analysis of canonical correlations, the best way to interpret the results, so that they are presented in the most reliable way possible. Data from an experiment with two cultivars of biquinho pepper seeded in 5 light spectrums were performed. The variables were root length and volume, plant height, number of leaves, fresh shoot and root mass, shoot dry mass. Two groups of variables were organized, the multicollinearity was determined through the condition number and the inflation factor of the variance. Canonical correlations analysis was carried out, and weights, loadings, and canonical cross-loadings were estimated for the interpretation of the results. After the interpretations, it was defined that the canonical cross-loadings should be preferred for the interpretation of the canonical correlations. Weights or canonical coefficients provide dubious results of relationships between groups of characters and should be avoided.

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Author Biographies

Francieli de Lima Tartaglia, Federal University of Santa Maria

Department of Plant Science

André Luis Tischler, Federal University of Santa Maria

Department of Plant Science

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Published

01-07-2020

How to Cite

Diel, M. I. ., Lúcio, A. D. ., Michalski Lambrecht, D., Pinheiro, M. V. M. ., Sari, B. G. ., Olivoto, T. ., Valera, O. V. S. ., Melo, P. J. de ., Tartaglia, F. de L. ., Tischler, A. L. ., & Schmidt, D. . (2020). Canonical correlations in agricultural research: Method of interpretation used leads to greater reliability of results. International Journal for Innovation Education and Research, 8(7), 171–181. https://doi.org/10.31686/ijier.vol8.iss7.2464

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