Measures of rank correlation are commonly used in statistics to capture the degree of concordance between two orderings of the same set of items. Standard measures like Kendall’s tau and Spearman’s rho coefficient put equal emphasis on each position of a ranking. Yet, motivated by applications in which some of the positions (typically those on the top) are more important than others, a few weig...

OBJECTIVES To examine the relationship between ordinal and cardinal valuation of health states. STUDY DESIGN AND SETTING We analyzed rank, visual analog scale (VAS), and time trade-off (TTO) responses for 52 health states defined using the EQ-5D classification system developed by the EuroQol Group. We analyzed 179,431 responses from 11,483 subjects in eight countries: Slovenia, Argentina, Den...

Background: Cerebrospinal fluid (CSF) biomarkers of amyloid-β42 (Aβ42) and phosphorylated-tau help clinicians accurately diagnose Alzheimer’s disease (AD). Whether prognosticate behavioral psychological symptoms dementia (BPSD) is unclear. Objective: Determine whether CSF biomarker levels aid prognostication BPSD in AD. Methods: This retrospective cohort study included patients over 65 with a d...

Nonsymmetric interpolation Laurent polynomials in $n$ variables are introduced, with the points depending on $q$ and a $n$-tuple of parameters $\tau=(\tau_1,\ldots,\tau_n)$. When $\tau_i=st^{n-i}$ Okounkov's $3$-parameter $BC_n$-type Macdonald recovered from nonsymmetric through Hecke algebra symmetrisation respect to type $C_n$ action. In appendix we give some conjectures about extra vanishing...

‎In this paper‎, ‎we define and study the notion of zero elements in topoframes; a topoframe is a pair‎ ‎$(L‎, ‎tau)$‎, ‎abbreviated $L_{ tau}$‎, ‎consisting of a frame $L$ and a‎ ‎subframe $ tau $ all of whose elements are complemented elements in‎ ‎$L$‎. ‎We show that‎ ‎the $f$-ring $ mathcal{R}(L_tau)$‎, ‎the set of $tau$-real continuous functions on $L$‎, ‎is uniformly complete‎. ‎Also‎, ‎t...

In all fields and branches of sciences especially statistics, the correlation coefficient is one most often used statistical measures. This study has been carried out for comparing performances Pearson (), Spearman's Rank Kendall’s Tau () coefficients under three sample sizes based on data quantitative variables cotton. Descriptive statistics showed presence genetic variability cotton studied t...

In this paper, we investigate a relation between the Givental group of rank one and Heisenberg-Virasoro symmetry KP hierarchy. We prove, that only two-parameter family operators can be identified with elements group. This describes triple Hodge integrals satisfying Calabi-Yau condition. Using identification two groups prove generating function condition its $\Theta$-version are tau-functions ge...