Measure 
Type of Variables 
Range 
Remarks 
phicoefficient 
binary, dichotomous 
1 ... +1 
phi is numerically equal to Pearson's correlation coefficient if the states of the binary variables are encoded by 0 and 1 
Cramer's V 
binary, dichotomous 
0 ... +1 
is derived from the phicoefficient and is comparable to other measures of correlation 
tetrachoric correlation coefficient 
binary, dichotomous 
1 ... +1 
is applied to artificially dichotomized variables, assuming that the variables were normally distributed before the dichotomization

Spearman's rank correlation 
ordinal 
1 ... +1 
can be used for ordinal data, as well (in contrast to Pearson's correlation coefficient) 
Pearson's correlation coefficient 
interval level 
1 ... +1 
the "classic" correlation coefficient; if the term "correlation coefficient" is used without any further specification, this particular correlation coefficient is usually meant 
contingency coefficient chi 
ordinal 
0 ... +1 
the contingency coefficient specifies only the strength of a relationship but not its direction 
biserial correlation coefficient 
dichotom/interval level 
1 ... +1 
is used for measuring the correlation between a dichotomous variable and a variable at the interval level 
Kruskal's gamma (Goodman & Kruskal) 
ordinal 
1 ... +1 
comparable to Kendall's taua; should be used when the data contain a high portion of ties 
Kendall's taua 
ordinal 
1 ... +1 
ties are not accounted for; samples containing many ties may result in invalid or misleading values of taua 
Somers' d 
ordinal 
1 ... +1 
is a variant of Kruskal's gamma 