The correlation ratio ? ( eta ) is defined as to satisfy
2.
As in the log correlation ratio ( log cr ), the log mean ratio ( log mr ) for the two groups means was acquired for each variable.
3.
The correlation ratio is able to detect almost any functional dependency, and the entropy-based mutual information, total correlation and dual total correlation are capable of detecting even more general dependencies.
4.
For the two groups, the absolute value of the logarithm of the ratio of each comparison s p-value gives a log correlation ratio that is larger as the ratio approaches zero or infinity.
5.
The coordinate of qualitative variable j along axis s is equal to squared correlation ratio between the variable j and the factor of rank s ( denoted \ eta ^ 2 ( j, s ) ).
6.
To be designated and qualify for FAS 133 hedge accounting, a commodity ( hedged item ) and its hedging instrument must have a correlation ratio between 80 % and 125 %, and the reporting enterprise must have hedge documentation in place at the inception of the hedge.
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