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SNSequate: Standard and Nonstandard Statistical Models and Methods for Test Equating
Journal of Statistical Software, 2014 Equating is a family of statistical models and methods that are used to adjust scores on two or more versions of a test, so that the scores from different tests may be used interchangeably.
Jorge González
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On a class of integral equations with discontinuous kernels [PDF]
Transactions of the American Mathematical Society, 1927 This paper is given to the discussion of the integral equation in which the kernel K(x, t) is continuous, but possesses first partial derivatives which are discontinuous along the line t = x. It is closely related to a previous papert in which the case of a discontinuous kernel has been treated.
Rudolph E. Langer, Eleanor P. Brown
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Coagulation‐Fragmentation Equations with Multiplicative Coagulation Kernel and Constant Fragmentation Kernel [PDF]
Communications on Pure and Applied Mathematics, 2021 AbstractWe study a critical case of coagulation‐fragmentation equations with multiplicative coagulation kernel and constant fragmentation kernel. Our method is based on the study of viscosity solutions to a new singular Hamilton‐Jacobi equation, which results from applying the Bernstein transform to the original coagulation‐fragmentation equation.
Tran, Hung V., Van, Truong-Son
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On the Pseudo-Resolvent to the Kernel of an Integral Equations [PDF]
Transactions of the American Mathematical Society, 1912 The method developed by FredholmI for the solution of a non-homogeneous linear integral equation is comparatively simple in case the corresponding homogeneous equation admits no solutions not identically zero; in terms of the determinant and the first minor for the kernel of the given equation a resolvent function is defined, by means of which the ...
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Item Response Theory Observed-Score Kernel Equating
, 2017 Item response theory (IRT) observed-score kernel equating is introduced for the non-equivalent groups with anchor test equating design using either chain equating or post-stratification equating. The equating function is treated in a multivariate setting
Andersson, Björn,, Wiberg, Marie,
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Scattering kernels for the muon diffusion equation [PDF]
Physical Review A, 1988 Diffusion of muonic hydrogen atoms in gaseous hydrogen is studied. Scattering kernels are derived from the kinematics of an inelastic binary collision. The effect of rotations of the hydrogen molecules is treated by defining and computing an effective inelastic energy transfer Q/sub eff/.
Rusjan, Edmond, Zweifel, Paul F.
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Comparison Of Kernel Equating And Item Response Theory Equating Methods
, 2012 The kernel method of test equating is a unified approach to test equating with some advantages over traditional equating methods. Therefore, it is important to evaluate in a comprehensive way the usefulness and appropriateness of the Kernel equating (KE)
Meng, Yu
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Selecting a Presmoothing Model in Kernel Equating
, 2020 In the kernel method of test score equating, the first step of the procedure is to presmooth the score distributions. The most common way of doing so is by fitting a log-linear model to the observed-score distributions. In this way, irregularities in the
Wiberg, Marie, +3 more
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Advanced Engineering Materials, EarlyView.Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt +8 more
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A Comparison of Kernel Equating and Item Response Theory Equating Methods
, 2021 Purpose: This study aims to compare the performances of Item Response Theory (IRT) equating and kernel equating (KE) methods based on equating errors (RMSD) and standard error of equating (SEE) using the anchor item nonequivalent groups design.
GELBAL, SELAHATTİN, Akin-Arikan, Cigdem
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