In statistics, Yule's Y, also known as the coefficient of colligation, is a measure of association between two binary variables. The measure was developed by George Udny Yule in 1912, and should not be confused with Yule's coefficient for measuring skewness based on quartiles.

Yule's coefficient of colligation

The measure of the relationship between two qualitative (non-measurable) features X and Y when the data is presented in the form of a contingency table. It is only used for tables of 2 by 2 dimension . The value of the coefficient belongs to the interval [-1,1].
Description. Yule Q is (ad - bc)/(ad+bc). Conceptually, this is the number of pairs in agreement (ad) - the number in disagreement (bc) over the total number of paired observations.
The beta coefficient is the degree of change in the outcome variable for every 1-unit of change in the predictor variable.
An association coefficient or correlation coefficient is an index of how strong a relationship between two variables is; a value of 0 indicates no relationship, whereas a value of, normally, 1 represents the maximum (a few coefficients have a maximum lower than 1, some can exceed 1 in particular conditions).

Colligation is a type of collocation where a lexical item is tied to a grammatical one. It's not the end of the world is a common locution, however, its synonym it's not Armageddon is not. The phrase the end of the world colligates with the negative, whereas Armageddon doesn't.

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