Computing the nonnull asymptotic variance and the asymptotic relative efficiency of Spearman's rank correlation

Computational Statistics and Data Analysis - Tập 39 - Trang 271-286 - 2002
Craig B. Borkowf1
1National Cancer Institute (NCI), Center for Cancer Research (CCR), Cancer Prevention Studies Branch (CPSB), 6116 Executive Blvd., Suite 705, MSC 8314, Bethesda, MD 20892-8314, USA

Tài liệu tham khảo

Aptech Systems, Inc., 1997. GAUSS Mathematical and Statistical System. Aptech Systems, Inc., Maple Valley, Washington. Bishop, 1975 Borkowf, 1997, Analyzing bivariate continuous data grouped into categories defined by empirical quantiles of the marginal distributions, Biometrics, 53, 1054, 10.2307/2533563 Borkowf, 1999, A new method for approximating the asymptotic variance of Spearman's rank correlation, Statist. Sinica, 9, 535 Borkowf, 2000, A new nonparametric method for variance estimation and confidence interval construction for Spearman's rank correlation, Comput. Statist. Data Anal., 34, 219, 10.1016/S0167-9473(99)00077-8 David, 1961, The variance of Spearman's rho in normal samples, Biometrika, 48, 19, 10.1093/biomet/48.1-2.19 Fieller, 1957, Tests for rank correlation coefficients. I, Biometrika, 44, 470, 10.1093/biomet/44.3-4.470 Genest, 1986, The joy of copulas: Bivariate distributions with uniform marginals, Amer. Statistician, 40, 280, 10.2307/2684602 Ghosh, 1966, Asymptotic expansions for the moments of the distribution of the correlation coefficient, Biometrika, 53, 258, 10.2307/2334076 Kendall, 1949, Rank and product-moment correlation, Biometrika, 36, 177, 10.1093/biomet/36.1-2.177 Kotz, 2000 Lee, 1990 Moran, 1948, Rank correlation and product moment correlation, Biometrika, 35, 203, 10.1093/biomet/35.1-2.203 Pearson, 1907 Spearman, 1904, The proof and measurement of association between two things, Amer. J. Psychol., 15, 72, 10.2307/1412159 Spearman, 1906, ‘Footrule’ for measuring correlation, British J. Psychol., 2, 89