Iconography of correlations
In exploratory data analysis, the iconography of correlations,[1][2] or representation of correlations, is a data visualization technique which replaces a numeric correlation matrix by its graphical projection onto a diagram. Correlations between variables are represented by solid lines (positive correlations) or dotted lines (negative correlations) plotted on the diagram, where shorter lengths or thicker lines (or both) represent greater projection components and thus greater degree of correlation.
History
The idea of using graphical models to represent correlations has a notable application in genomic mapping, though the iconography of correlations is more general for not assuming the probability distribution, since it only relies on representing the correlation coefficients geometrically.
The iconography of correlations first dates to 1975, applied to marine geochemistry in a 1981 thesis, and later in a 1982 data analysis article.[3] Afterwards, the method was applied widely in the aerospace industry[4][5] but for about fifteen years manufacturers kept it fairly confidential; generally, they preferred not to broadcast useful techniques to their competitors.
In 1997 the first company was incorporated to distribute iconography of correlations software.[6] Since then the topic of iconography of correlations has been incorporated into university courses, and typical topical articles' citation lists have rapidly and greatly expanded, particularly in the fields of medicine[7] and mass spectrometry.[8][9][10]
See also
- Bayesian network – Statistical model
References
- ↑ Lesty, Michel (January 1999). "Une nouvelle approche dans le choix des régresseurs de la régression multiple en présence d'interactions et de colinéarités" (in fr). La Revue de Modulad (22): 41–77. http://www-rocq.inria.fr/axis/modulad/archives/numero-22/Lesty-22/unenouvelle.pdf.
- ↑ Girondot, Marc (17 January 2018). "Multivariable analysis and correlation of iconography". https://biostatsr.blogspot.com/2018/01/multivariable-analysis-and-correlation.html. "... about biostatistics ... by Professor Marc Girondot, University Paris Saclay." — Brief introduction to iconography of correlations.
- ↑ Lesty, M.; Buat-Ménard, P. (1982). "La synthèse géométrique des corrélations multidimensionnelles" (in fr). Les Cahiers de l'Analyse des Données [Data Analysis Notes] VII (3): 355–370. http://www.coryent.com/Lesty-CahierADVII-1982n3.pdf.
- ↑ Lesty, M.; Coindoz, M. (3–7 October 1988). "Une méthode pour la F.M.S. des bases de connaissances de système experts. Une application de CORICO". 6ième Colloque International de Fiabilité et de Maintenabilité. Strasbourg, DE: Centre National d'Études Spatiales (CNES). pp. 252–257.
- ↑ Vallée, C.; le Méteil, X. (Fourth Quarter 2001), "La maîtrise du risque dans la construction aéronautique: Analyse des corrélations et fabrication des composites" (in fr), Phoebus 19 (2)
- ↑ Lesty, Michel, ed. "La Société CORYENT Conseil / Etudes et conseil" (in fr). CORYENT Conseil / Logiciel CORICO. https://www.coryent.com/mlesty.html. "CORYENT Conseil est une entreprise française de conseil, fondée en 1997 par Michel Lesty, ..."
"[CORYENT Conseil is a French consulting company, founded in 1997 by Michel Lesty, ...]" - ↑ Lesty, C.; Pleau-Varet, J.; Kujas, M. (February 2004). "Geometric method and generalized linear models: Two opposite multiparametric approaches illustrated on a sample of pituitary adenomas". Journal of Applied Statistics 31 (2): 191–213.
- ↑ Engrand, C.; Lespagnol, J.; Martin, P.; Thirkell, L.; Thomas, R. (2004). "Multi-correlation analyses of TOF-SIMS spectra for mineralogical studies". Applied Surface Science (231–232): 883–887.
- ↑ Engrand, C.; Kissel, J.; Krueger, F.R. et al. (2006). "Chemometric evaluation of time-of-flight secondary ion mass spectrometry data of minerals in the frame of future in situ analyses of cometary material by COSIMA onboard ROSETTA" (in en). Rapid Communications in Mass Spectrometry 20 (8): 1361–1368.
- ↑ Paillat, Louise; Cannavo, Patrice; Barraud, Fabrice; Huché-Thélier, Lydie; Guénon, René (December 2020). "Growing medium type affects organic fertilizer mineralization and CNPS microbial enzyme activity" (in en). Agronomy 10 (12): 1955. doi:10.3390/agronomy10121955.
External links
- Lesty, Michel. "Une autre façon de présenter l'iconographie des corrélations" (in fr). CORYENT Conseil / Logiciel CORICO. https://www.coryent.com/representation-multidimensionnelle.html.
- Girondot, Marc (17 January 2018). "Multivariable analysis and correlation of iconography". https://biostatsr.blogspot.com/2018/01/multivariable-analysis-and-correlation.html. "... about biostatistics ... by Professor Marc Girondot, University Paris Saclay." — Brief introduction to correlation of iconography by a biostatistician.
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