The DOI matches its Crossref record; 6 of the 6 references it cites were found in a registry or an index.
Note on Rank Biserial Correlation
Abstract
variables, n consecutive ranks, a dichotomy, a trichotomy, etc. In this paper we shall be concerned with developing a measure of the correlation between one variable comprising n consecutive untied ranks and a second variable comprising a dichotomy. We shall regard the dichotomy (scored 0, 1) as having a ranking variable underlying it. In this regard it is analogous to the assumption made in biserial correlation that a normally distributed variable has been forced into a dichotomy. Of major interest is a surprising equivalence which results between the coefficient found in this paper and a coefficient due to Cureton (1956). It is to present and prove the equivalence of these two coefficients, which though quite different in origin and derivation are algebraically equivalent, that this paper is being written.
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For paired two-sample nonparametric analysis, matched-pairs rank biserial r is used as an effect size.
“For paired two-sample nonparametric analysis, matched-pairs rank biserial r is used as an effect size. It is the difference between the ratio of the positive rank-sum to the total rank-sum and the ratio of the negative rank-sum to the total rank-sum (Glass, 1966; Kerby, 2014).”
From Increasing high school teachers self-efficacy for integrated STEM instruction through a collaborative community of practice (2020) · cites this paper as Glass, 1966
Citations
Cites
Cureton, E. E. (1956) · Psychometrika · doi:10.1007/bf02289138 · Cited by 313
(2006) · Springer eBooks · doi:10.1007/0-387-22759-8_2 · Cited by 271
THE THEORY OF CORRELATION BETWEEN TWO CONTINUOUS VARIABLES WHEN ONE IS DICHOTOMIZED
Tate, R. F. (1955) · Biometrika · doi:10.1093/biomet/42.1-2.205 · Cited by 84
Inversions and Rank Correlation Coefficients
Durbin, J., & Stuart, A. (1951) · Journal of the Royal Statistical Society Series B (Statistical Methodology) · doi:10.1111/j.2517-6161.1951.tb00095.x · Cited by 80
Burt, C., Norton, H. W., & Kelley, T. L. (1948) · Journal of the American Statistical Association · doi:10.2307/2280380 · Cited by 80
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Research works printed but not linked: 1
- Siegel, S., 1956, Nonparametric Methods for the Behavioral Sciences
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Weighted kappa: nominal scale agreement provision for scaled disagreement or partial credit
Cohen, J. (1968) · Psychological Bulletin · doi:10.1037/h0026256 · Cited by 8,736
Kelley, T. R., Knowles, J. G., Holland, J. D., & Han, J. (2020) · International Journal of STEM Education · doi:10.1186/s40594-020-00211-w · Cited by 238
“It is the difference between the ratio of the positive rank-sum to the total rank-sum and the ratio of the negative rank-sum to the total rank-sum (Glass, 1966; Kerby, 2014).”
Background
Metadata
- Authors
- Glass, G. V.
- Affiliations
- University of Illinois Urbana-Champaign (US)
- Corresponding author
- Glass, Gene V.
- ORCID
- Glass, Gene V.
- Venue
- Educational and Psychological Measurement
- Publisher
- SAGE Publications
- Published
- 1966-10
- Volume
- 26
- Issue
- 3
- Pages
- 623-631
- ISSN
- 0013-1644 (ISSN-L)
- 1552-3888
- OpenAlex
- W2054610378
- Cited by
- 102
- References
- 6
- Citations by year
- 2026: 10 · 2025: 11 · 2024: 5 · 2023: 9 · 2022: 9 · 2021: 6 · 2020: 6 · 2019: 3 · 2018: 3 · 2016: 13 · 2015: 1 · 2014: 2 · 2013: 1
- FWCI
- 3.47
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Educational and Psychological Measurement (publishedVersion)
- Topics
- Social Sciences › Decision Sciences › Management Science and Operations Research › Psychometric Methodologies and Testing
- Social Sciences › Decision Sciences › Statistics, Probability and Uncertainty › Multidisciplinary Science and Engineering Research
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Keywords
- binary variables, ordinal rank, rank correlation
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