A short history of statistical association: From correlation to correspondence analysis to copulas

[1]  C. Cuadras Constructing copula functions with weighted geometric means , 2009 .

[2]  R. Routledge When stepwise regression fails: correlated variables some of which are redundant , 1990 .

[3]  A. Donner,et al.  A comparison of confidence interval methods for the intraclass correlation coefficient. , 1986, Biometrics.

[4]  F. Galton Regression Towards Mediocrity in Hereditary Stature. , 1886 .

[5]  Carles M. Cuadras,et al.  Contributions to the diagonal expansion of a bivariate copula with continuous extensions , 2015, J. Multivar. Anal..

[6]  K. Pearson Mathematical contributions to the theory of evolution. VIII. On the correlation of characters not quantitatively measurable , 2022, Proceedings of the Royal Society of London.

[7]  A. L. V. D. Wollenberg Redundancy analysis an alternative for canonical correlation analysis , 1977 .

[8]  K. Pearson,et al.  ON THE LAWS OF INHERITANCE IN MAN I. INHERITANCE OF PHYSICAL CHARACTERS , 1903 .

[9]  H. O. Lancaster The Structure of Bivariate Distributions , 1958 .

[10]  J. Hanley “Transmuting” Women into Men , 2004 .

[11]  A. Rényi On measures of dependence , 1959 .

[12]  Leo A. Goodman Correspondence analysis, association analysis, and generalized nonindependence analysis of contingency tables: Saturated and unsaturated models, and appropriate graphical displays , 1993 .

[13]  N. Waller The Geometry of Enhancement in Multiple Regression , 2011, Psychometrika.

[14]  J. F. d'Estad Continuous Extensions of Matrix Formulations in Correspondence Analysis, with Applications to the Fgm Family of Distributions , 1998 .

[15]  Leland Wilkinson,et al.  Galton's Bend , 2003 .

[16]  M. Sklar Fonctions de repartition a n dimensions et leurs marges , 1959 .

[17]  L. Guttman,et al.  The Quantification of a class of attributes : A theory and method of scale construction , 1941 .

[18]  J. MacQueen Some methods for classification and analysis of multivariate observations , 1967 .

[19]  Ulf Böckenholt,et al.  Canonical analysis of contingency tables with linear constraints , 1990 .

[20]  M. Greenacre Correspondence analysis of multivariate categorical data by weighted least-squares , 1988 .

[21]  J. H. Ward Hierarchical Grouping to Optimize an Objective Function , 1963 .

[22]  Calyampudi R. Rao The use and interpretation of principal component analysis in applied research , 1964 .

[23]  D. J. G. Farlie,et al.  The performance of some correlation coefficients for a general bivariate distribution , 1960 .

[24]  R. Fisher THE PRECISION OF DISCRIMINANT FUNCTIONS , 1940 .

[25]  S. S. Wilks Sample Criteria for Testing Equality of Means, Equality of Variances, and Equality of Covariances in a Normal Multivariate Distribution , 1946 .

[26]  J. Aitchison,et al.  Biplots of Compositional Data , 2002 .

[27]  H. Hotelling Relations Between Two Sets of Variates , 1936 .

[28]  K. Pearson On the Theory of Contingency and Its Relation to Association and Normal Correlation , 2013 .

[29]  S. Haberman,et al.  Canonical Analysis of Contingency Tables by Maximum Likelihood , 1986 .

[30]  A W EDWARDS,et al.  A METHOD FOR CLUSTER ANALYSIS. , 1965, Biometrics.

[31]  H. Hirschfeld A Connection between Correlation and Contingency , 1935, Mathematical Proceedings of the Cambridge Philosophical Society.

[32]  K. Maung DISCRIMINANT ANALYSIS OF TOCHER'S EYE COLOUR DATA FOR SCOTTISH SCHOOL CHILDREN , 1941 .

[33]  M. Fréchet Sur les tableaux de correlation dont les marges sont donnees , 1951 .

[34]  R. Nelsen,et al.  On the relationship between Spearman's rho and Kendall's tau for pairs of continuous random variables , 2007 .

[35]  J. Gower Generalized procrustes analysis , 1975 .

[36]  K. Maung,et al.  MEASUREMENT OF ASSOCIATION IN A CONTINGENCY TABLE WITH SPECIAL REFERENCE TO THE PIGMENTATION OF HAIR AND EYE COLOURS OF SCOTTISH SCHOOL CHILDREN , 1941 .

[37]  C. Cuadras On the Covariance between Functions , 2002 .

[38]  Carles M. Cuadras,et al.  Interpreting an Inequality in Multiple Regression , 1993 .

[39]  Carles M. Cuadras,et al.  A parametric approach to correspondence analysis , 2006 .

[40]  Carles M. Cuadras,et al.  Correspondence analysis and diagonal expansions in terms of distribution functions , 2002 .

[41]  Carles M. Cuadras,et al.  A continuous general multivariate distribution and its properties , 1981 .

[42]  R. Nelsen A CHARACTERIZATION OF FARLIE-GUMBEL-MORGENSTERN DISTRIBUTIONS VIA SPEARMAN'S RHO AND CHI-SQUARE DIVERGENCE , 2016 .

[43]  Michael Greenacre,et al.  A Comparison of Different Methods for Representing Categorical Data , 2006 .

[44]  Nickos Papadatos,et al.  A simple method for obtaining the maximal correlation coefficient and related characterizations , 2012, J. Multivar. Anal..

[45]  C. Cuadras,et al.  Two generalized bivariate FGM distributions and rank reduction , 2019, Communications in Statistics - Theory and Methods.