Goodman and Kruskal's Tau-b as Correlation Ratio
Some Implications
Bibliographic Data
| ID | 2331278 |
|---|---|
| Authors | Kenneth E Southwood (0000-0002-5259-7051, University of Illinois Urbana-Champaign, corresponding author) |
| Year | 1974 |
| Volume | 3 |
| Issue | 1 |
| Pages | 82-110 |
| Publication date | 1974-08-01 |
| Peer Reviewed | Yes |
| Open Access | Yes |
| Type | ARTICLE |
| Venue | Sociological Methods & Research (JOURNAL) |
| Journal identifiers | ISSN: 0049-1241 • E-ISSN: 1552-8294 |
| Publisher | SAGE Publications Inc (PUBLISHER) |
| DOI | 10.1177/004912417400300104 |
| OpenAlex | W2063705986 |
| Language | EN |
| Citations received | 2 |
| References cited | 18 |
It is shown that Goodman and Kruskal's Tau-b, a PRE coefficient of association between two nominal variables, is a more general form of the correlation ratio. Deriving from this, it is shown that similar correlation ratios can be derived for relationships between independent ordinal and interval variables and a dependent nominal variable. It is suggested that this makes it possible to express the relationship between any variable at any level of measurement-nominal, ordinal, or interval-in terms of linear equations and correlation ratios, and that this provides a useful and conceptionally parsimonious technique for practitioners. It also opens the way to greater flexibility in multivariate analysis using variables at different levels of measurement
Combinatorics · Confidence interval · Correlation · Correlation coefficient · Econometrics · Geometry · Interval (graph theory) · Kruskal's algorithm · Level of measurement · Mathematical analysis · Multivariate statistics · Ordinal data · Ordinal Scale · Statistics · Variable (mathematics) · Variables · Advanced Statistical Methods and Models · Mathematics · Sensory Analysis and Statistical Methods · Statistical and Computational Modeling
Introduction to multivariate analysis for the social sciences.
Use of Ranks in One-Criterion Variance Analysis
Use of Dummy Variables in Regression Equations
A Proportional-Reduction-in-Error Interpretation for Kendall's Tau-B
Some Observations on Measurement and Statistics
The Multivariate Analysis of Ordinal Measures
A New Asymmetric Measure of Association for Ordinal Variables
An Approach to the Multivariate Analysis of Ordinal Data
Criteria for Measures of Association
Predictive Measures of Ordinal Association
The General Linear Model
| Unique citing works | 2 |
|---|---|
| Citations per year | 0,05 |
| Citation span | 1985 - 2019 (35) |
| Citation velocity | historical |
| Highly cited | No |
| Citation types | Neutral: 2 |