Confidence Intervals for Rank Statistics: Somers’ D and Extensions

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Attributable and Unattributable Risks and Fractions and other Scenario Comparisons (2013, methodology): “The hyperbolic arctangent arctanh(), also known as Fisher’s z transform, was recommended by Edwardes (1995) for the general Somers’ D parameter, which is discussed extensively in Newson (2006) and includes as a special case the difference between two proportions, exemplified in the scenario-comparis”
Comparing the Predictive Powers of Survival Models Using Harrell's C or Somers’ D (2010, methodology): “Newson (2002, 2006b) argues that if there is an underlying population of trivariate data points (Wi,Xi, Yi) and if any positive association between the Yi and the Xi is caused by a positive association of both of these variables with the Wi, then we must have the inequality D(X |Y ) − D(W |Y ) ≤ 0…”