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The first idea of the iconography of correlations dates back to 1975. Applied first to marine geochemistry, it was the subject of a thesis in 1981, and of an article in Cahiers de l'Analyse des Données in 1982. After that, the application of the method in many branches of the aerospace industry M. Lesty et M. Coindoz. (1988) Une méthode pour la F.M.S. des bases de connaissances de système experts. Une application de CORICO. 6e Colloque International de Fiabilité et de Maintenabilité. Textes des conférences, – Organisé par le Centre National d'Études Spatiales (C.N.E.S.), 3–7 octobre 1988, Strasbourg.
for about fifteen years, explains, paradoxically, the relative confidentiality in which it remained for a long time, companies not generally wishing to shout their solutions on the roofs. Since the creation in 1997 of a first company distributing software based on the iconography of correlations, and its teaching in some universities, the bibliography has grown widely, particularly in the medical
Geometric Method and Generalized Linear Models: Two opposite Multiparametric Approaches Illustrated on a Sample of Pituitary Adenomas. Lesty C., Pleau-Varet J. & Kujas M. Journal of Applied Statistics Vol. 31(2): . February 2004. and astrophysical sectors (mass spectrometryMulti-correlation analyses of TOF-SIMS spectra for mineralogical studies." C. Engrand, J. Lespagnol, P.Martin, L. Thirkell, R. Thomas. Applied Surface Science 231–232 (2004) 883–887
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." Engrand C;, Kissel J., Krueger F.R., Martin P., Silén J., Thirkel L.l, Thomas R., Varmuza K. (2006). (Rapid Communications in Mass Spectrometry Vol. 20, Issue 8 ) Published Online: 23 march 2006 (www.interscience.wiley.com).
)
La représentation multidimensionnelle : une autre façon de présenter l’iconographie des corrélations
Data analysis
exploratory data analysis
In statistics, exploratory data analysis (EDA) is an approach of analyzing data sets to summarize their main characteristics, often using statistical graphics and other data visualization methods. A statistical model can be used or not, but pri ...
, the iconography of correlations is a method which consists in replacing a correlation matrix by a diagram where the “remarkable” correlations are represented by a solid line (positive correlation), or a dotted line (negative correlation).
This idea also appears in Gaussian graphic models used in particular in genome mapping. But the iconography of correlations is more general in that it does not make an assumption about the Gaussian distribution, or not, of the variables, and relies only on the geometric aspect of the Correlation coefficient
A correlation coefficient is a numerical measure of some type of correlation, meaning a statistical relationship between two variables. The variables may be two columns of a given data set of observations, often called a sample, or two components ...
.
The first idea of the iconography of correlations dates back to 1975. Applied first to marine geochemistry, it was the subject of a thesis in 1981, and of an article in Cahiers de l'Analyse des Données in 1982. After that, the application of the method in many branches of the aerospace industry M. Lesty et M. Coindoz. (1988) Une méthode pour la F.M.S. des bases de connaissances de système experts. Une application de CORICO. 6e Colloque International de Fiabilité et de Maintenabilité. Textes des conférences, – Organisé par le Centre National d'Études Spatiales (C.N.E.S.), 3–7 octobre 1988, Strasbourg.
for about fifteen years, explains, paradoxically, the relative confidentiality in which it remained for a long time, companies not generally wishing to shout their solutions on the roofs. Since the creation in 1997 of a first company distributing software based on the iconography of correlations, and its teaching in some universities, the bibliography has grown widely, particularly in the medical
Geometric Method and Generalized Linear Models: Two opposite Multiparametric Approaches Illustrated on a Sample of Pituitary Adenomas. Lesty C., Pleau-Varet J. & Kujas M. Journal of Applied Statistics Vol. 31(2): . February 2004. and astrophysical sectors (mass spectrometryMulti-correlation analyses of TOF-SIMS spectra for mineralogical studies." C. Engrand, J. Lespagnol, P.Martin, L. Thirkell, R. Thomas. Applied Surface Science 231–232 (2004) 883–887
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." Engrand C;, Kissel J., Krueger F.R., Martin P., Silén J., Thirkel L.l, Thomas R., Varmuza K. (2006). (Rapid Communications in Mass Spectrometry Vol. 20, Issue 8 ) Published Online: 23 march 2006 (www.interscience.wiley.com).
)
See also
* TheBayesian Network
A Bayesian network (also known as a Bayes network, Bayes net, belief network, or decision network) is a probabilistic graphical model that represents a set of variables and their conditional dependencies via a directed acyclic graph (DAG). Bay ...
is a graph in which the cause and effect relationships are "probabilized", unlike the Correlation Iconography, whose principle is "geometric".
References
{{reflistExternal links
La représentation multidimensionnelle : une autre façon de présenter l’iconographie des corrélations
Data analysis