The phrase "a valid ranking" is correct and usable in written English.
It can be used when discussing the legitimacy or accuracy of a ranking system or list.
Example: "The survey results provided a valid ranking of the top ten universities in the country."
Alternatives: "an accurate ranking" or "a legitimate ranking".
The selection and comparison of variables by curve analysis was performed since this method gives a valid ranking of variables and does not (in contrast to ranking methods based on p values) depend on the number of subjects available for that specific variable [ 17].
Self-reported weight and height provide a valid ranking of BMI for middle-aged Norwegian women.
Our self-reported weight and height data provide a valid ranking of BMI for middle-aged Norwegian women.
Previous comparative studies have shown that this approach, using qualitative or semiquantitative exposure assessments by workers and health and safety professionals, can provide a valid ranking of exposure levels relative to quantitative measurements (Flynn et al. 1991).
The selection and comparison of variables by ROC-curve analysis was performed because this method gives a valid ranking of variables and does not depend on the number of patients available for that specific variable (in contrast to ranking methods based on p values) [ 16].
Let U1, U2 be uniform [0,1] random variables, and let ρ = (ρ13, ρ23, ρ12) be a valid rank correlation matrix.
Ferguson's Delta [ 5] is computed on the assumption that the measurement is valid and reliable to the degree that the instrument produces a valid rank ordering of people (number of discriminations observed/total number possible).
Therefore, to enable a rigorous use of any valid rank correlation matrix, there is a need for a more comprehensive understanding of the class of universal copulas, at least in small dimensions.
As observed by Devroye and Letac (2010), any valid rank correlation matrix can be written as a finite convex combination of extreme correlation matrices, also called extreme points (Theorem of Carathéodory (1911) and Steinitz (1914)).
Considering the different social situations of face-to-face interviews versus self-administrated questionnaires, we submit that such stability coefficients may reflect a reliable estimation of valid rank order consistency of personality traits across 5 years.
Kurowicka and Cooke (2006), Section 4.4.6, p.102, generate universal trivariate copulas with arbitrary valid rank correlation matrices using the sampling algorithm (2.7) based on the so-called "elliptical copula" for the involved copulas C13 u1, u3), C23 u2, u3), C12|3 u1, u2).
