Some Contributions to Average Rank Correlation Methods and to the Distribution of the Average Rank Correlation Coefficient
| Autor: | Wilson L. Taylor, Ching Fong |
|---|---|
| Rok vydání: | 1963 |
| Předmět: |
Statistics and Probability
media_common.quotation_subject Standard score Spearman's rank correlation coefficient Combinatorics Distribution (mathematics) Statistics Statistics Probability and Uncertainty Frequency distribution Algebraic number Reference table Normality media_common Rank correlation Mathematics |
| Zdroj: | Journal of the American Statistical Association. 58:756-769 |
| ISSN: | 1537-274X 0162-1459 |
| DOI: | 10.1080/01621459.1963.10500885 |
| Popis: | This report concerns the method and distribution of “average rho” or , the algebraic mean of M independent Spearman rank correlation coefficients based on equal N's of objects ranked on each of two variables. Included is a reference table of those values and probabilities of most closely associated with four conventional levels of significance, .01, .02, .05, and .10, two-tailed. Most of this table is derived from the construction of 58 exact frequency distributions of for M's > 1. Also presented are (a) general formulas for the computation of , with comparisons between the method and distribution of and Lyerly's “average Spearman rank correlation coefficient,” (b) formulas for the computation of corrected for continuity, , and of the standard score z of (c) a comparison of the results of exact computation and normal approximation which illustrates the tendency of the distribution of to approach normality as M, N, and both M and N increase, but that caution should be used when M or N is small. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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