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Confidence intervals for rank statistics: Somers' D and extensions AgEcon
Newson, Roger.
Somers’ D is an asymmetric measure of association between two variables, which plays a central role as a parameter behind rank or nonparametric statistical methods. Given predictor variable X and outcome variable Y , we may estimate DYX as a measure of the effect of X on Y , or we may estimate DXY as a performance indicator of X as a predictor of Y. The somersd package allows the estimation of Somers’ D and Kendall’s τα with confidence limits as well as p-values. The Stata 9 version of somersd can estimate extended versions of Somers’ D not previously available, including the Gini index, the parameter tested by the sign test, and extensions to left- or right-censored data. It can also estimate stratified versions of Somers’ D, restricted to pairs in the...
Tipo: Journal Article Palavras-chave: Somersd; Somers' D; Kendall's τ_a; Harrell's c; ROC area; Gini index; Population-attributable risk; Rank correlation; Rank-sum test; Wilcoxon test; Sign test; Confidence intervals; Nonparametric methods; Propensity score; Research Methods/ Statistical Methods.
Ano: 2006 URL: http://purl.umn.edu/117583
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Confidence intervals for rank statistics: Percentile slopes, differences, and ratios AgEcon
Newson, Roger.
I present a program, censlope, for calculating confidence intervals for generalized Theil–Sen median (and other percentile) slopes (and per-unit ratios) of Y with respect to X. The confidence intervals are robust to the possibility that the conditional population distributions of Y , given different values of X, differ in ways other than location, such as having unequal variances. censlope uses the program somersd and is part of the somersd package. censlope can therefore estimate confounder-adjusted percentile slopes, limited to comparisons within strata defined by values of confounders, or by values of a propensity score representing multiple confounders. Iterative numerical methods have been implemented in the Mata language, enabling efficient...
Tipo: Article Palavras-chave: Somersd; Censlope; ALSPAC; Robust; Confidence interval; Rank; Nonparametric; Median; Percentile; Slope; Difference; Ratio; Kendall's τ; Somers' D; Theil–Sen; Hodges–Lehmann; Confounder adjusted; Propensity score; Research Methods/ Statistical Methods.
Ano: 2006 URL: http://purl.umn.edu/119241
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