Results 111 to 120 of about 3,955 (267)
, 1998 In this paper we derive a new integral inequality of Ostrowski-Grüss type and apply it to estimate the error bounds for some numerical quadrature ...
Roumeliotis, John +2 more
core
From tetrachoric to kappa: How to assess reliability on binary scales
British Journal of Mathematical and Statistical Psychology, EarlyView.Abstract Reliability is crucial in psychometrics, reflecting the extent to which a measurement instrument can discriminate between individuals or items. While classical test theory and intraclass correlation coefficients are well‐established for quantitative scales, estimating reliability for binary outcomes presents unique challenges due to their ...
Sophie Vanbelle
wiley +1 more source
Classical quadrature rules via Gaussian processes
, 2017 In an extension to some previous work on the topic, we show how all classical polynomial-based quadrature rules can be interpreted as Bayesian quadrature rules if the covariance kernel is selected suitably. As the resulting Bayesian quadrature rules have
Simo Sarkka +3 more
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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 rules obtained by means of interpolatory linear positive operators
Journal of Numerical Analysis and Approximation Theory, 1992 Not available.
Dimitrie D. Stancu, Felicia Stancu
doaj +2 more sources
Randomized Quadrature with Periodic Kernels: Applications to Cavalieri Volume Estimation
Image Analysis and StereologyThis paper studies randomized algorithms for unbiased numerical integration of d-dimensional periodic functions using kernel-based quadrature rules, with particular emphasis on rules induced by periodic radial basis function (RBF) kernels.
Francisco Javier Soto Sánchez
doaj +1 more source
On Fast and Stable Implementation of Clenshaw-Curtis and Fejér-Type Quadrature Rules
Abstract and Applied Analysis, 2014 Based upon the fast computation of the coefficients of the interpolation polynomials at Chebyshev-type points by FFT, together with the efficient evaluation of the modified moments by forward recursions or by Oliver’s algorithms, this paper presents fast
Shuhuang Xiang, Guo He, Haiyong Wang
doaj +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
A Generalised Trapezoid Type Inequality for Convex Functions
, 2002 A generalised trapezoid inequality for convex functions and applications for quadrature rules are given. A refinement and a counterpart result for the Hermite-Hadamard inequalities are obtained and some inequalities for pdf’s and (HH)−divergence measure ...
Dragomir, Sever S
core
Three Point Identities and Inequalities for n-time Differential Functions
, 1999 Identities and inequalities are obtained involving n-time differentiable functions in terms of evaluations at an interior and at the end points. It is shown how previous work is recaptured as particular instances of the current development.
Cerone, Pietro +2 more
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