Rank-biserial correlation

@article{Cureton1956RankbiserialC,
  title={Rank-biserial correlation},
  author={Edward E. Cureton},
  journal={Psychometrika},
  year={1956},
  volume={21},
  pages={287-290}
}
  • E. Cureton
  • Published 1 September 1956
  • Mathematics
  • Psychometrika
A formula is developed for the correlation between a ranking (possibly including ties) and a dichotomy, with limits which are always ±1. This formula is shown to be equivalent both to Kendall'sτ and Spearman'sρ. 
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References

SHOWING 1-3 OF 3 REFERENCES
Inversions and Rank Correlation Coefficients
A relation is developed between Spearman's coefficient of rank correlation rs and the inversions in the two rankings. This leads to an expression for the mean value of rs in samples from a finite
Rank Correlation Methods
The measurement of rank correlation introduction to the general theory of rank correlation tied ranks tests of significance proof of the results of chapter 4 the problem of m ranking proof of the