Biserial Correlation

This article discusses several methods that have been proposed for estimating a bivariate correlation coefficient when one of the observed variables is binary. An example is used to illustrate the different approaches.

References

1 Bedrick, E. J. (1990). On the large sample distributions of modified sample biserial correlation coefficients, Psychometrika 55, 217–228.
10.1007/BF02295284
Web of Science® Google Scholar
2 Bedrick, E. J. (1992). A comparison of modified and generalized sample biserial correlation estimators, Psychometrika 57, 183–201.
10.1007/BF02294504
Web of Science® Google Scholar
3 Brogden, H. E. (1949). A new coefficient: application to biserial correlation and to estimation of selective inefficiency, Psychometrika 14, 169–182.
10.1007/BF02289151
CAS PubMed Google Scholar
4 Cureton, E. E. (1956). Rank-biserial correlation, Psychometrika 21, 287–290.
10.1007/BF02289138
Web of Science® Google Scholar
5 Das Gupta, S. (1960). Point biserial correlation and its generalization, Psychometrika 25, 393–408.
10.1007/BF02289756
Google Scholar
6 Glass, G. W. (1966). Note on rank biserial correlation, Educational and Psychological Measurement 26, 623–631.
10.1177/001316446602600307
Web of Science® Google Scholar
7 Karelitz, S., Fisichelli, V. R., Costa, J., Karelitz, R. & Rosenfeld, L. (1964). Relation of crying activity in early infancy to speech and intellectual development at age three years, Child Development 35, 769–777.
CAS PubMed Web of Science® Google Scholar
8 Lord, F. M. (1963). Biserial estimates of correlation, Psychometrika 28, 81–85.
10.1007/BF02289550
Web of Science® Google Scholar
9 Pearson, K. (1909). On a new method of determining the correlation between a measured character A and a character B, Biometrika 7, 96–105.
10.1093/biomet/7.1-2.96
Google Scholar
10 Shih, W. J. & Huang, W. -H. (1992). Evaluating correlation with proper bounds, Biometrics 48, 1207–1213.
10.2307/2532712
Web of Science® Google Scholar
11 Soper, H. E. (1914). On the probable error for the biserial expression for the correlation coefficient, Biometrika 10, 384–390.
10.1093/biomet/10.2-3.384
Google Scholar
12 Tate, R. F. (1954). Correlation between a discrete and a continuous variable. Point-biserial correlation, Annals of Mathematical Statistics 25, 603–607.
10.1214/aoms/1177728730
Web of Science® Google Scholar
13 Tate, R. F. (1955). The theory of correlation between two continuous variables when one is dichotomized, Biometrika 42, 205–216.
10.1093/biomet/42.1-2.205
Web of Science® Google Scholar

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