Patient Reported Outcomes (PROs) are widely used in medical outcome studies, and usually take the form of administered of self-completed questionnaires. The data that these questionnaires produce is of the type known as ordinal scaling, where magnitudes of the attribute may be ascertained. At the same time, most outcome studies rely on the calculation of means, standard deviations, change score...

The purpose of this paper is to introduce the idea how construct transfinite numbers and study arithmetic. research method used a literature review, which involves collecting various sources such as scientific papers books related Cantorian set theory, infinity, ordinal or arithmetic, well connection between infinity theology. also constructing objects study, namely finite ordinals ordinals, ex...

an injective map f : e(g) → {±1, ±2, · · · , ±q} is said to be an edge pair sum labeling of a graph g(p, q) if the induced vertex function f*: v (g) → z − {0} defined by f*(v) = (sigma e∈ev) f (e) is one-one, where ev denotes the set of edges in g that are incident with a vetex v and f*(v (g)) is either of the form {±k1, ±k2, · · · , ±kp/2} or {±k1, ±k2, · · · , ±k(p−1)/2} u {k(p+1)/2} accordin...

We define several sorts of mappings on a poset like monotone, strictly upper cone preserving and variants these. Our aim is to characterize posets in which some these coincide. special determined by two elements investigate when are monotone or preserving. If the considered semilattice then its coincide with homomorphisms if only chain. Similarly, we study need not be semilattices but whose con...

objective: the aim of this study was to identify prognosis factors associated with recurrence in patients ‎with bipolar disorder.‎‎ method: this retrospective cohort study was conducted in hamadan province, the west of iran. all ‎patients (n = 400) with bipolar disorder who were hospitalized for the second time or more ‎during april 2008 to september 2014 were included in this study. ordinal lo...

 About 25 years ago, McCullagh proposed a method for modeling univariate ordinal responses. After publishing this paper, other statisticians gradually extended his method, such that we are now able to use more complicated but efficient methods to analyze correlated multivariate ordinal data, and model the relationship between these responses and host of covariates. In this paper, we aim to...

Also, for any two ordinals X,Y either X ∈ Y or Y ∈ X. As we saw before with ordinals ∈ is simply < or ⊂. Every well-ordered set is isomorphic to an ordinal. The first ordinal is 0, the second 1 = {0}, . . . the n’th ordinal is {0, 1, 2, . . . ,n − 1}. The first infintite ordinal is ω = {0, 1, 2, . . . , n, n + 1, . . .}. The second infinite ordinal is ω + 1 = {0, 1, . . . , n, . . . , ω}. In ge...