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A Bayesian measure of association that utilizes the underlying distributions of noise and information

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  • Ishan Goel
  • Sukant Khurana

Abstract

We propose a new approach, Bayesian Probability of Association (BPA) which takes into account the probability distributions of information and noise in the variables and uses Bayesian statistics to predict associations better than existing approaches. Our approach overcomes the limitations of linearity of the relationship and normality of the data, assumed by the Pearson correlation coefficient. It is different from the current measures of association because considering information separately from noise helps identify the association in information more accurately, makes the approach less sensitive to noise and also helps identify causal directions. We tested the approach on 15 datasets with no underlying association and on 75 datasets with known causal relationships and compared the results with other measures of association. No false associations were detected and true associations were predicted in more than 90% cases whereas the Pearson correlation coefficient and mutual information content predicted associations for less than half of the datasets.

Suggested Citation

  • Ishan Goel & Sukant Khurana, 2018. "A Bayesian measure of association that utilizes the underlying distributions of noise and information," PLOS ONE, Public Library of Science, vol. 13(8), pages 1-21, August.
  • Handle: RePEc:plo:pone00:0201185
    DOI: 10.1371/journal.pone.0201185
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    1. Ole E. Barndorff-Nielsen & Neil Shephard, 2004. "Econometric Analysis of Realized Covariation: High Frequency Based Covariance, Regression, and Correlation in Financial Economics," Econometrica, Econometric Society, vol. 72(3), pages 885-925, May.
    2. Chiang, Thomas C. & Jeon, Bang Nam & Li, Huimin, 2007. "Dynamic correlation analysis of financial contagion: Evidence from Asian markets," Journal of International Money and Finance, Elsevier, vol. 26(7), pages 1206-1228, November.
    3. Hauke Jan & Kossowski Tomasz, 2011. "Comparison of Values of Pearson's and Spearman's Correlation Coefficients on the Same Sets of Data," Quaestiones Geographicae, Sciendo, vol. 30(2), pages 87-93, June.
    4. Hong-Ghi Min & Young-Soon Hwang, 2012. "Dynamic correlation analysis of US financial crisis and contagion: evidence from four OECD countries," Applied Financial Economics, Taylor & Francis Journals, vol. 22(24), pages 2063-2074, December.
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