Results 61 to 70 of about 217,218 (245)

Quadrature formulas using derivatives [PDF]

Mathematics of Computation, 1965
1. H. MINEUR, Techniques de Calcul Num~rique d l'Usage des Mathe'maticiens, Astronomes, Physiciens et Ingenieurs. Suivi de Quatre Notes Par: Mme. Henri Berthod-Zaborowski, Jean Bouzitat, et Marcel Mayot, B6ranger, Paris, 1952. 2. M. ABRAMOWITZ & I.
openaire   +2 more sources

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

Symmetric Quadrature Formulae for Simplexes [PDF]

Mathematics of Computation, 1970
Symmetrie interpolation polynomials are defined for N N -dimensional simplexes with the aid of a symmetric coordinate ...
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Quadrature formulas based on rational interpolation

, 1993
We consider quadrature formulas based on interpolation using the basis functions 1 / ( 1 + t k x ) ( k =
Ingrid Vanherwegen, Walter Van Assche
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Error bounds for quadrature formulas near Gaussian quadrature [PDF]

, 1989
Let Rn be the error functional of a quadrature formula Qn on [−1,1] using n nodes. In this paper we consider estimates of the form |Rn[ƒ]|⩽cm∥ƒ(m)∥, ∥ƒ∥≔sup|x|⩽1|ƒ(x)|, with best possible constant cm, i.e., cm = cm(Rn)≔ sup∥ƒ(m)∥⩽1|Rn[ƒ]|.
Brass, Helmut, Förster, Klaus-Jürgen
core   +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

Estimates of the error of interval quadrature formulas on some classes of differentiable functions

Researches in Mathematics, 2020
The exact value of error of interval quadrature formulas $$\int_0^{2\pi}f(t)dt -\frac{\pi}{nh}\sum_{k=0}^{n-1}\int_{-h}^hf(t+\frac {2k\pi}{n})dt = R_n(f;\vec{c_0};\vec{x_0};h)$$ obtained for the classes $W^rH^{\omega} (r=1,2,...)$ of differentiable ...
V.P. Motornyi, D.A. Ovsyannikov
doaj   +1 more source

Quadrature Formulas for the Wiener Measure

Journal of Complexity, 1999
This paper is concerned with path integrals \(I_\infty (f) =\int _Cf(x) dw(x)\) with respect to the Wiener measure on \(C=C[0,1]\). The author presents a new method for the approximation of \(I_\infty (f)\) by means of a sequence \((A_s)_{s=1,2,\dots }\) of quadrature formulas with the error bound \[ \sup _{f\in {\mathcal F} }|I_\infty (f) -A_s(f) |
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Composite marginal likelihood estimation of higher‐order diagnostic classification models under high dimensionality

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

The numerical solution of a Fredholm integral equations of the second kind by the weighted optimal quadrature formula

Results in Applied Mathematics
This work considers the optimal quadrature formula in a Hilbert space for the numerical approximation of the integral equations. It discusses the sequence of solving integral equations with quadrature formulas.
Abdullo Hayotov, Samandar Babaev
doaj   +1 more source