Results 71 to 80 of about 115,454 (246)
APPROXIMATE INTEGRATION OF HIGHLY OSCILLATING FUNCTIONS
Наука и техника, 2017 Elementary approximate formulae for numerical integration of functions containing oscillating factors of a special form with a parameter have been proposed in the paper.
I. N. Melashko +2 more
doaj +1 more source
Asymptotic standard errors for reliability coefficients in item response theory
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract In a recent review, Liu et al. (Psychological Methods, 2025b) classified reliability coefficients into two types: classical test theory (CTT) reliability and proportional reduction in mean squared error (PRMSE). This article focuses on quantifying the sampling variability of these coefficients under item response theory (IRT) models.
Youjin Sung, Yang Liu
wiley +1 more source
Quadrature Formula For Sampled Functions
, 2010 This paper deals with efficient quadrature formulas involving functions that are observed only at fixed sampling points. The approach that we develop is derived from efficient continuous quadrature formulas, such as Gauss-Legendre or Clenshaw-Curtis quadrature.
Minaoui, Khalid +3 more
openaire +2 more sources
Comparison of Birkhoff type quadrature formulae
, 1990 The classical approach to the theory of quadrature formulae is based on the concept of algebraic degree of precision (ADP). A quadrature formula Q 1 {Q_1} is considered to be "better" than
Borislav Bojanov, Geno Nikolov
core +1 more source
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Although full‐information maximum likelihood (FIML) estimation is widely used for diagnostic classification models (DCMs), its computational efficiency deteriorates sharply in high‐dimensional settings. This scalability challenge is increasingly critical as DCMs are applied to large‐scale assessments, psychological testing and longitudinal ...
Minho Lee, Yon Soo Suh
wiley +1 more source
Quadrature formula for computed tomography
Journal of Approximation Theory, 2010 The authors present a Gaussian quadrature formula for integrals of the form \[ \int_B f(x,y) U_n(x\cos\theta+y\sin\theta)\,dx\,dy \] over the unit disk \(B\) for the Chebyshev polynomials \(U_n\) of second kind. The formula involves \(n\) Radon projections on \(B\), has the maximal degree \(3n+1\) of precision, and is unique by this property. It may be
Bojanov, Borislav, Petrova, Guergana
openaire +2 more sources
On complete semicardinal quadrature formulae [PDF]
, 1979 We consider so-called complete semicardinal quadrature formulae (q.f.), as opposed to Euler-Maclaurin or natural semicardinal q.f. By requiring our q.f. to be exact for a particular sequence of B-splines, we are led by a generating function approach to a
Silliman, Sherwood D.
core +1 more source
Revisiting reliability and measurement precision: Towards a unified perspective
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract This article revisits the concepts of reliability and measurement precision across classical test theory (CTT), item response theory (IRT) and cognitive diagnosis models (CDMs), emphasizing their conceptual differences and proposing a unified framework.
Jimmy de la Torre +2 more
wiley +1 more source
Some New Approaches to Fractional Euler–Maclaurin-Type Inequalities via Various Function Classes
Fractal and FractionalThis paper aims to examine an approach that studies many Euler–Maclaurin-type inequalities for various function classes applying Riemann–Liouville fractional integrals.
Mehmet Gümüş +2 more
doaj +1 more source
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Measurement non‐invariance arises when the psychometric properties of a scale differ across subgroups, undermining the validity of group comparisons. At the item level, this manifests as differential item functioning (DIF), where item responses differ across groups after controlling for the latent trait.
Gabriel Wallin, Qi Huang
wiley +1 more source