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・ Relationship Dilemma
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・ Relationship of American Jews to the U.S. Federal Government before the 20th century
・ Relationship of Clark Kent and Lois Lane
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Relationship square
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・ Relationships among probability distributions
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Relationship square : ウィキペディア英語版
Relationship square
In statistics, the relationship square is a graphical representation for use in the factorial analysis of a table ''individuals'' x ''variables''. This representation completes classical representations provided by principal component analysis (PCA) or multiple correspondence analysis (MCA), namely those of individuals, of quantitative variables (correlation circle) and of the categories of qualitative variables (at the centroid of the individuals who possess them). It is especially important in factor analysis of mixed data (FAMD) and in multiple factor analysis (MFA).
== Definition of ''relationship square'' in the MCA frame ==
The first interest of the relationship square is to represent the variables themselves, not their categories, which is all the more valuable as there are many variables. For this, we calculate for each qualitative variable j and each factor F_s ( F_s , rank s factor, is the vector of coordinates of the individuals along the axis of rank s ; in PCA, F_s is called ''principal component of rank s'') , the square of the correlation ratio between the F_s and the variable j, usually denoted :

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