Generalized Proportional Reduction in Variation Measure for Two-Way Contingency Tables
| Autor: | Masaki Ebi, Takashi Seo, Sadao Tomizawa |
|---|---|
| Rok vydání: | 1997 |
| Předmět: |
Contingency table
Theil index Applied Mathematics Experimental and Cognitive Psychology Conditional probability distribution Goodman and Kruskal's lambda Measure (mathematics) Clinical Psychology Uncertainty coefficient Statistics Econometrics Marginal distribution Analysis Goodman and Kruskal's gamma Mathematics |
| Zdroj: | Behaviormetrika. 24:193-201 |
| ISSN: | 1349-6964 0385-7417 |
| DOI: | 10.2333/bhmk.24.193 |
| Popis: | For a two-way contingency table with nominal explanatory and response variables, Goodman and Kruskal (1954), and Theil (1970) proposed the measures which describe the proportional reduction in variation from the marginal distribution to the conditional distributions of the response. This paper proposes a generalization of those measures. The measure is expressed by using the Patil and Taillie’s (1982) diversity index. Special cases of the proposed measure include the Goodman and Kruskal’s and the Theil’s measures. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink