Comparison Of Parametric And Nonparametric Irt Equating Methods Under The Common Item Nonequivalent Groups Design

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Comparison Of Parametric And Nonparametric Irt Equating Methods Under The Common Item Nonequivalent Groups Design
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Author : Yuki Nozawa
language : en
Publisher:
Release Date : 2008
Comparison Of Parametric And Nonparametric Irt Equating Methods Under The Common Item Nonequivalent Groups Design written by Yuki Nozawa and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Educational tests and measurements categories.
Statistical Models For Test Equating Scaling And Linking
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Author : Alina von Davier
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-19
Statistical Models For Test Equating Scaling And Linking written by Alina von Davier and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-19 with Education categories.
The goal of this book is to emphasize the formal statistical features of the practice of equating, linking, and scaling. The book encourages the view and discusses the quality of the equating results from the statistical perspective (new models, robustness, fit, testing hypotheses, statistical monitoring) as opposed to placing the focus on the policy and the implications, which although very important, represent a different side of the equating practice. The book contributes to establishing “equating” as a theoretical field, a view that has not been offered often before. The tradition in the practice of equating has been to present the knowledge and skills needed as a craft, which implies that only with years of experience under the guidance of a knowledgeable practitioner could one acquire the required skills. This book challenges this view by indicating how a good equating framework, a sound understanding of the assumptions that underlie the psychometric models, and the use of statistical tests and statistical process control tools can help the practitioner navigate the difficult decisions in choosing the final equating function. This book provides a valuable reference for several groups: (a) statisticians and psychometricians interested in the theory behind equating methods, in the use of model-based statistical methods for data smoothing, and in the evaluation of the equating results in applied work; (b) practitioners who need to equate tests, including those with these responsibilities in testing companies, state testing agencies, and school districts; and (c) instructors in psychometric, measurement, and psychology programs.
Generalized Kernel Equating With Applications In R
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Author : Marie Wiberg
language : en
Publisher: CRC Press
Release Date : 2024-11-01
Generalized Kernel Equating With Applications In R written by Marie Wiberg and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-01 with Mathematics categories.
Generalized Kernel Equating is a comprehensive guide for statisticians, psychometricians, and educational researchers aiming to master test score equating. This book introduces the Generalized Kernel Equating (GKE) framework, providing the necessary tools and methodologies for accurate and fair score comparisons. The book presents test score equating as a statistical problem and covers all commonly used data collection designs. It details the five steps of the GKE framework: presmoothing, estimating score probabilities, continuization, equating transformation, and evaluating the equating transformation. Various presmoothing strategies are explored, including log-linear models, item response theory models, beta4 models, and discrete kernel estimators. The estimation of score probabilities when using IRT models is described and Gaussian kernel continuization is extended to other kernels such as uniform, logistic, epanechnikov and adaptive kernels. Several bandwidth selection methods are described. The kernel equating transformation and variants of it are defined, and both equating-specific and statistical measures for evaluating equating transformations are included. Real data examples, guiding readers through the GKE steps with detailed R code and explanations are provided. Readers are equipped with an advanced knowledge and practical skills for implementing test score equating methods.
Applying Test Equating Methods
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Author : Jorge González
language : en
Publisher: Springer
Release Date : 2017-03-06
Applying Test Equating Methods written by Jorge González and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-06 with Education categories.
This book describes how to use test equating methods in practice. The non-commercial software R is used throughout the book to illustrate how to perform different equating methods when scores data are collected under different data collection designs, such as equivalent groups design, single group design, counterbalanced design and non equivalent groups with anchor test design. The R packages equate, kequate and SNSequate, among others, are used to practically illustrate the different methods, while simulated and real data sets illustrate how the methods are conducted with the program R. The book covers traditional equating methods including, mean and linear equating, frequency estimation equating and chain equating, as well as modern equating methods such as kernel equating, local equating and combinations of these. It also offers chapters on observed and true score item response theory equating and discusses recent developments within the equating field. More specifically it covers the issue of including covariates within the equating process, the use of different kernels and ways of selecting bandwidths in kernel equating, and the Bayesian nonparametric estimation of equating functions. It also illustrates how to evaluate equating in practice using simulation and different equating specific measures such as the standard error of equating, percent relative error, different that matters and others.
Measurement Theory And Practice In Kinesiology
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Author : Terry M. Wood
language : en
Publisher: Human Kinetics
Release Date : 2006
Measurement Theory And Practice In Kinesiology written by Terry M. Wood and has been published by Human Kinetics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Education categories.
Provides readers with an understanding of the basics of measurement techniques in physical activity, by focusing on understanding the concept behind techniques. Looking at measurement issues in the physical domain, this book is useful for post graduate students, researchers and professionals in sport and exercise science.
A Comparison Of Four Linear Equating Methods For The Common Item Nonequivalent Groups Design Using Simulation Methods Act Research Report Series 2013 2
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Author : Anna Topczewski
language : en
Publisher:
Release Date : 2013
A Comparison Of Four Linear Equating Methods For The Common Item Nonequivalent Groups Design Using Simulation Methods Act Research Report Series 2013 2 written by Anna Topczewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
This paper investigates four methods of linear equating under the common item nonequivalent groups design. Three of the methods are well known: Tucker, Angoff-Levine, and Congeneric-Levine. A fourth method is presented as a variant of the Congeneric-Levine method. Using simulation data generated from the three-parameter logistic IRT model we compare the accuracy of the four methods under a variety of conditions involving group differences between the old and new groups. The sampling properties of the methods' parameter estimates are also investigated. The results indicate that the Tucker method is less accurate than the other three methods when group differences exist, especially when sample size is large (800). However, the Tucker method's gamma has the smallest sampling error, especially when sample size is small. Appended are: (1) Tables A1-A8; and (2) Figures B-1 through B-7.
A Comparison Of Bootstrap Standard Errors Of Irt Equating Methods For The Common Item Nonequivalent Groups Design
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Author : Tsung-Hsun Tsai
language : en
Publisher:
Release Date : 1998
A Comparison Of Bootstrap Standard Errors Of Irt Equating Methods For The Common Item Nonequivalent Groups Design written by Tsung-Hsun Tsai and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Bootstrap (Statistics) categories.
Comparison Of Bootstrap Standard Errors Of Equating Using Irt And Equipercentile Methods With Polytomously Scored Items Under The Common Item Nonequivalent Groups Design
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Author : YoungWoo Cho
language : en
Publisher:
Release Date : 2007
Comparison Of Bootstrap Standard Errors Of Equating Using Irt And Equipercentile Methods With Polytomously Scored Items Under The Common Item Nonequivalent Groups Design written by YoungWoo Cho and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Examinations categories.
Equating Using Unidimensional Dichotomous And Polytomous Irt Models For Testlet Based Tests Under Common Item Nonequivalent Groups Design
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Author : Lidong Zhang
language : en
Publisher:
Release Date : 2013
Equating Using Unidimensional Dichotomous And Polytomous Irt Models For Testlet Based Tests Under Common Item Nonequivalent Groups Design written by Lidong Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with categories.
The relative equating performance of the Graded Response Model (GRM) and the Generalized Partial Credit (GPC) model was compared with that of the two parameter logistic (2PL) model using simulated testlet data under a common-item nonequivalent groups design. Impacts of various levels of testlet effects, calibration procedures, group differences, number of common items, sample size were investigated. Three traditional linear equating methods were used as criteria for the IRT true score equating and IRT observed score equating results from the three item response theory models. In general, the equating performance based on the two polytomous models yielded results that were more compatible with the results of the traditional equating methods with the presence of testlet effects. Even in some conditions without testlet effects, the equating performance of the two polytomous models was more similar to that of the traditional methods than the dichotomous 2PL model, particularly when the number of common items was larger. Of the two polytomous models, the GRM was found to render results in more agreement with those of traditional linear methods in conditions of separate calibration with linking. The characteristic curve linking methods outperformed the moment methods in a majority of conditions. The separate calibration procedures were better than the concurrent calibration procedure in most of the conditions, especially when the number of common items was small.
A Comparison Of Four Linear Equating Methods For The Common Item Nonequivalent Groups Design Using Simulation Methods
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Author : Anna Topczewski
language : en
Publisher:
Release Date : 2013
A Comparison Of Four Linear Equating Methods For The Common Item Nonequivalent Groups Design Using Simulation Methods written by Anna Topczewski and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Examinations categories.