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Application of the ρV coefficient and distance correlation to the analysis of multivariate association Cover

Application of the ρV coefficient and distance correlation to the analysis of multivariate association

Open Access
|Dec 2020

References

  1. Cléroux R., Lazraq A., Lepage Y.(1995): Vector correlation based on ranks and a nonparametric test of no association between vectors. Communications in Statistics Theory and Methods 24: 713–733.10.1080/03610929508831518
  2. Escoufier Y. (1973): Le traitement des variables vectorielles. Biometrics 29: 751–760.10.2307/2529140
  3. Gower J. (1966): Some distance properties of latent root and vector methods used in multivariate analysis. Biometrika 53: 325–338.10.1093/biomet/53.3-4.325
  4. Heller R., Heller Y., Gorfine M. (2013): A consistent multivariate test of association based on ranks of distances. Biometrika 100: 503–510.10.1093/biomet/ass070
  5. Husson F., Josse J., Le S., Mazet J. (2013): FactoMineR: Multivariate Exploratory Data Analysis and Data Mining with R. URL http://cran.r-project.org/package=FactoMineR, R package version 1.24.
  6. Josse J., Pages J., Husson F. (2008): Testing the significance of rv coefficient. Computational Statistics and Data Analysis 53: 82–91.10.1016/j.csda.2008.06.012
  7. Josse J., Holmes S. (2016): Measuring multivariate association and beyond. Statistics Surveys 10: 132–167.10.1214/16-SS116565814629081877
  8. Tjøstheim D., Hufthammer K. (2013): Local Gaussian correlation: a new measure of dependence. Journal of Econometrics 172(1): 33–48.10.1016/j.jeconom.2012.08.001
  9. Reshef D., Reshef Y., Finucane H., Grossman S., McVean G., Turnbaugh P., Lander E., Mitzenmacher M., Sabeti P.C. (2011): Detecting novel associations in large data sets. Science 334: 1518–1524.10.1126/science.1205438332579122174245
  10. Székely G.J., Rizzo M.L., Bakirov N.K. (2007): Measuring and testing independence by correlation of distances. Annals of Statistics 35: 2769–2794.10.1214/009053607000000505
  11. Székely G.J., Rizzo M.L., (2009): Brownian distance covariance. The Annals of Applied Statistics 3(4): 1236–1265.10.1214/09-AOAS312288950120574547
  12. Székely G.J., Rizzo M.L. (2013): energy: E-statistics (energy statistics). URL http://CRAN.R-project.org/package=energy. R package version 1.6.0.
DOI: https://doi.org/10.2478/bile-2020-0009 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811
Language: English
Page range: 119 - 129
Published on: Dec 31, 2020
Published by: Polish Biometric Society
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2020 Malwina Janiszewska, Anna Szczepańska-Álvarez, Emilia Zawieja, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.