Correlation Ratio
Let there be 
observations of the 
th phenomenon, where 
, ..., 
and
 |  |  | (1) |
 | |  | (2) |
 | |  | (3) |
Then
 | (4) |
be the population correlation ratio. If 
for 
, then | (5) |
 | |  | (6) |
 | |  | (7) |
 | |  | (8) |
and
is the Confluent Hypergeometric Limit Function. If 
, then | (9) |
References
Kenney, J. F. and Keeping, E. S. Mathematics of Statistics, Pt. 2, 2nd ed. Princeton, NJ: Van Nostrand, 1951.
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