Critical Values of the Rank-Biserial Correlation Coefficient
Bibliographic Data
| ID | 20282302 |
|---|---|
| Authors | Victor L Willson (0000-0002-5904-5962, University of South Dakota, corresponding author) |
| Year | 1976 |
| Volume | 36 |
| Issue | 2 |
| Pages | 297-300 |
| Publication date | 1976-07-01 |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Educational and Psychological Measurement (JOURNAL) |
| Journal identifiers | ISSN: 0013-1644 • E-ISSN: 1552-3888 |
| Publisher | SAGE Publications (PUBLISHER • US) |
| DOI | 10.1177/001316447603600207 |
| OpenAlex | W2031094590 |
| Language | EN |
| Citations received | 4 |
| References cited | 6 |
For data with observations on variable Y restricted to consecutive and untied ranks 1,2... n, and with observations on X restricted to nominal classification into group 1 or 2, the Mann-Whitney U-test provides a test of group mean difference. It is shown below that the rank-biserial correlation coefficient r rb is a linear function of the U-statistic, so that a test of group mean difference is equivalent to a test of zero correlation for the rank-biserial coefficient. This provides a distribution theory for sample values of r rb when ρ rb = 0
Combinatorics · Correlation · Correlation coefficient · Geometry · Mann–Whitney U test · Rank (graph theory) · Rank correlation · Statistic · Statistics · Advanced Statistical Methods and Models · Mathematics
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| Citations per year | 0.67 |
|---|---|
| Citation span | 2020 - 2023 (4) |
| Highly cited | No |