BACKGROUND AND PURPOSE There is debate regarding the approach for analysis of modified Rankin scale scores, the most common functional outcome scale used in acute stroke trials. METHODS We propose to use tests to assess treatment differences addressing the metric, "if a patient is chosen at random from each treatment group and if they have different outcomes, what is the chance the patient wh...

introduction: in this paper, a novel complexity measure is proposed to detect dynamical changes in nonlinear systems using ordinal pattern analysis of time series data taken from the system. epilepsy is considered as a dynamical change in nonlinear and complex brain system. the ability of the proposed measure for characterizing the normal and epileptic eeg signals when the signal is short or is...

This paper presents and statistically compares eight alternative methods that could possibly be used in the analysis of matched or paired sample data, including situations in which the data being analyzed satisfy the usual assumptions of normality and continuity necessary for the use of parametric tests as well as when the data are numeric and non-numeric measurements on as low as the ordinal s...

Abstract In this paper, we are committed to investigating the fractal decomposition of power sets. Our main result is that every set can be decomposed into a sum and an isomorphic does not intersect with it. For finite set, property drawn on ordinal line by constructing number axis line, distribution graph obtained using parallel translation drawing method. Moreover, distributions do overlap or...

Background and Purpose—There is debate regarding the approach for analysis of modified Rankin scale scores, the most common functional outcome scale used in acute stroke trials. Methods—We propose to use tests to assess treatment differences addressing the metric, “if a patient is chosen at random from each treatment group and if they have different outcomes, what is the chance the patient who ...

Hausdorr characterized the class of scattered linear orderings as the least family of linear orderings that includes the ordinals and is closed under ordinal summations and inversions. We formulate and prove a corresponding characterization of the class of scattered partial orderings that satisfy the nite antichain condition (FAC). Consider the least class of partial orderings containing the cl...

This paper introduces a new family of variable length codes for the integers, initially based on the Goldbach conjecture that every even integer is the sum of two primes. For an even integer we decompose the value into its two constituent primes and encode the ordinal numbers of those primes with an Elias gamma code. The method is then elaborated to handle odd integers. The paper then develops ...

The Wilcoxon rank sum test is frequently used in statistical practice for the comparison of measures of location when the underlying distributions are far from normal or not known in advance. An assumption of the ordinary rank sum test is that individual sampling units are independent. In many ophthalmologic clinical trials, the Early Treatment for Diabetic Retinopathy Scale (ETDRS) is a princi...