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Contributions to Kernel Equating
, 2014 The statistical practice of equating is needed when scores on different versions of the same standardized test are to be compared. This thesis constitutes four contributions to the observed-score equating framework kernel equating. Paper I introduces the open source R package kequate which enables the equating of observed scores using the kernel method
Andersson, Björn
core +4 more sources
Evaluating Equating Transformations in IRT Observed-Score and Kernel Equating Methods. [PDF]
Appl Psychol Meas, 2023 Test equating is a statistical procedure to ensure that scores from different test forms can be used interchangeably. There are several methodologies available to perform equating, some of which are based on the Classical Test Theory (CTT) framework and ...
Leôncio W, Wiberg M, Battauz M.
europepmc +3 more sources
Standard Errors of Kernel Equating: Accounting for Bandwidth Estimation. [PDF]
Appl Psychol Meas, 2022 In standardized testing, equating is used to ensure comparability of test scores across multiple test administrations. One equipercentile observed-score equating method is kernel equating, where an essential step is to obtain continuous approximations to
Marcq K, Andersson B.
europepmc +2 more sources
Kernel Ordinary Differential Equations [PDF]
Journal of the American Statistical Association, 2021 Ordinary differential equation (ODE) is widely used in modeling biological and physical processes in science. In this article, we propose a new reproducing kernel-based approach for estimation and inference of ODE given noisy observations. We do not assume the functional forms in ODE to be known, or restrict them to be linear or additive, and we allow ...
Dai, Xiaowu, Li, Lexin
openaire +6 more sources
International Journal of Assessment Tools in Education, 2021 Educational assessment tests are designed to measure the same psychological constructs over extended periods of time. This feature is important considering that test results are often used in the selection process for admittance to university programs ...
Gabriel Wallın, Özge Altıntaş
doaj +1 more source
Dual integral equations with a trigonometric Kernel [PDF]
Proceedings of the Edinburgh Mathematical Society, 1979 In this paper, we solve the following dual integral equationswhere δ is a real positive constant and f(x) is a continuous and integrable function of x in [0, a]. The dual integral equations (1) and (2) arise in a crack problem of elasticity.
Singh, Brij M., Dhaliwal, Ranjit S.
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A Review of Test Equating Methods with a Special Focus on IRT-Based Approaches
Statistica, 2018 The overall aim of this work is to review test equating methods with a particularly detailed description of item response theory (IRT) equating. Test score equating is used to compare different test scores from different test forms.
Valentina Sansivieri +2 more
doaj +1 more source
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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Degenerate Kernel Method for Hammerstein Equations [PDF]
Mathematics of Computation, 1991 The classical method of the degenerate kernel method is applied to numerically solve the Hammerstein equations. Several numerical examples are given to demonstrate the effectiveness of the current method. A brief discussion of a number of methods to decompose the kernel is also included.
Hideaki Kaneko, Yuesheng Xu
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On an Integral Equation with the Riemann Function Kernel
Axioms, 2022 This paper is concerned with a study of a special integral equation. This integral equation arises in many applied problems, including transmutation theory, inverse scattering problems, the solution of singular Sturm–Liouville and Shrödinger equations, and the representation of solutions of singular Sturm–Liouville and Shrödinger equations.
Sergei M. Sitnik, Abdul Ahad Arian
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