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Point-Biserial Correlation

The point-biserial correlation coefficient (r_pb) measures the strength and direction of the linear association between one naturally dichotomous variable (coded 0/1) and one continuous variable. It is a special case of the Pearson product-moment correlation formally derived by Tate (1954) in the Annals of Mathematical Statistics and is the standard index used in psychometric item analysis, validity studies, and any research context where a binary grouping variable is related to a continuous outcome.

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Point-Biserial Correlation Coefficient

Taksonomisk metoderegister · hypothesis-test / statistics

Tate, R. F. (1954). Correlation between a discrete and a continuous variable. Point-biserial correlation. Annals of Mathematical Statistics, 25(3), 603–607. · DOI 10.1214/aoms/1177728730
Tate, R. F. (1955). The theory of correlation between two continuous variables when one is dichotomized. Biometrika, 42(1–2), 205–216. · DOI 10.1093/biomet/42.1-2.205
Nunnally, J. C., & Bernstein, I. H. (1994). Psychometric Theory (3rd ed.). McGraw-Hill. · ISBN 978-0070478497

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Same method familyIndependent t-testmachine-suggested · Relational suggestion, not evidence.See alsoItem Response Theorymachine-suggested · Relational suggestion, not evidence.Same method familyPearson Correlationmachine-suggested · Relational suggestion, not evidence.Same method familySpearman Correlationmachine-suggested · Relational suggestion, not evidence.