[PDF] Equating Using Unidimensional Dichotomous And Polytomous Irt Models For Testlet Based Tests Under Common Item Nonequivalent Groups Design - eBooks Review

Equating Using Unidimensional Dichotomous And Polytomous Irt Models For Testlet Based Tests Under Common Item Nonequivalent Groups Design


Equating Using Unidimensional Dichotomous And Polytomous Irt Models For Testlet Based Tests Under Common Item Nonequivalent Groups Design
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Equating Using Unidimensional Dichotomous And Polytomous Irt Models For Testlet Based Tests Under Common Item Nonequivalent Groups Design


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.



Model Selection For Equating Testlet Based Tests In The Neat Design


Model Selection For Equating Testlet Based Tests In The Neat Design
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Author : Wei He
language : en
Publisher:
Release Date : 2012

Model Selection For Equating Testlet Based Tests In The Neat Design written by Wei He and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.


For those tests solely composed of testlets, local item independency assumption tends to be violated. This study, by using empirical data from a large-scale state assessment program, was interested in investigates the effects of using different models on equating results under the non-equivalent group anchor-test (NEAT) design. Specifically, the primary purpose of this study was to apply the IRT true-score equating method to equating testlet-based tests using both testlet theory (TRT) model and bi-factor model. In addition, the equating results from using the TRT and bi-factor models were compared with those from using conventional dichotomous item response theory (IRT) models. The candidate models considered in this study included a series of conventional dichotomous IRT models, Testlet model, and bi-factor model. The results echoed with those in Lee et al. (2001) in that equating using models that can account for item dependency in general tend to yield closer equating relationship to the traditional equating methods than the conventional IRT models. Limitations and further studies were also discussed. (Contains 4 figures and 8 tables.).



Handbook Of Polytomous Item Response Theory Models


Handbook Of Polytomous Item Response Theory Models
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Author : Michael Nering
language : en
Publisher: Taylor & Francis
Release Date : 2011-01-19

Handbook Of Polytomous Item Response Theory Models written by Michael Nering and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-19 with Psychology categories.


This comprehensive Handbook focuses on the most used polytomous item response theory (IRT) models. These models help us understand the interaction between examinees and test questions where the questions have various response categories. The book reviews all of the major models and includes discussions about how and where the models originated, conceptually and in practical terms. Diverse perspectives on how these models can best be evaluated are also provided. Practical applications provide a realistic account of the issues practitioners face using these models. Disparate elements of the book are linked through editorial sidebars that connect common ideas across chapters, compare and reconcile differences in terminology, and explain variations in mathematical notation. These sidebars help to demonstrate the commonalities that exist across the field. By assembling this critical information, the editors hope to inspire others to use polytomous IRT models in their own research so they too can achieve the type of improved measurement that such models can provide. Part 1 examines the most commonly used polytomous IRT models, major issues that cut across these models, and a common notation for calculating functions for each model. An introduction to IRT software is also provided. Part 2 features distinct approaches to evaluating the effectiveness of polytomous IRT models in various measurement contexts. These chapters appraise evaluation procedures and fit tests and demonstrate how to implement these procedures using IRT software. The final section features groundbreaking applications. Here the goal is to provide solutions to technical problems to allow for the most effective use of these models in measuring educational, psychological, and social science abilities and traits. This section also addresses the major issues encountered when using polytomous IRT models in computerized adaptive testing. Equating test scores across different testing contexts is the focus of the last chapter. The various contexts include personality research, motor performance, health and quality of life indicators, attitudes, and educational achievement. Featuring contributions from the leading authorities, this handbook will appeal to measurement researchers, practitioners, and students who want to apply polytomous IRT models to their own research. It will be of particular interest to education and psychology assessment specialists who develop and use tests and measures in their work, especially researchers in clinical, educational, personality, social, and health psychology. This book also serves as a supplementary text in graduate courses on educational measurement, psychometrics, or item response theory.



Model Selection For Irt Equating Of Testlet Based Tests In The Random Groups Design


Model Selection For Irt Equating Of Testlet Based Tests In The Random Groups Design
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Author : Juan Chen
language : en
Publisher:
Release Date : 2014

Model Selection For Irt Equating Of Testlet Based Tests In The Random Groups Design written by Juan Chen and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014 with Educational tests and measurements categories.


The traditional equipercentile equating method was used as the baseline for comparison in both real data and simulated data analyses. It was found in the study that both testlet length and the LID level affected the performance of the investigated models on IRT true and observed score equating of testlet-based tests. When the traditional 3PL IRT model was used for tests with long testlets, higher levels of local item dependence led to IRT equating results that deviated further away from those obtained from the baseline method. However, the effect of local item dependence on IRT equating results was not prominent for tests with short testlets. Moreover, for tests consisting of long testlets (e.g., a testlet length of 10 or more) and having a very low level of local item dependence (e.g., a LID level of 0.25 or lower), and for tests consisting of short testlets (e.g., a testlet length around 5), all four investigated IRT models worked well in IRT true and observed score equating. For tests with long testlets and a relatively high level of local item dependence (e.g., a LID level of 0.5625 or higher), the GRM, bifactor, and TRT models outperformed the traditional 3PL IRT model in IRT true and observed equating of testlet-based tests. The study suggested that the selection of models for IRT true and observed score equating of testlet-based tests should be considered with respect to the features of the testlet-based tests and the groups of examinees from which the data is collected. It is hoped that this study encourages researchers to identify differences among existing models for IRT true and observed score equating of testlet-based tests with various features, and to develop new models that are appropriate for modeling testlet-based tests to obtain accurate IRT number correct score equating results.



A Unified Approach To Irt Scale Linking And Scale Transformations Research Report Rr 04 09


A Unified Approach To Irt Scale Linking And Scale Transformations Research Report Rr 04 09
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Author : Matthias von Davier
language : en
Publisher:
Release Date : 2004

A Unified Approach To Irt Scale Linking And Scale Transformations Research Report Rr 04 09 written by Matthias von Davier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with categories.


This paper examines item response theory (IRT) scale transformations and IRT scale linking methods used in the Non-Equivalent Groups with Anchor Test (NEAT) design to equate two tests, X and Y. It proposes a unifying approach to the commonly used IRT linking methods: mean-mean, mean-var linking, concurrent calibration, Stocking and Lord and Haebara characteristic curves approaches, and fixed-item parameters scale linkage. The main idea is to view any linking procedure as a restriction on the item parameter space. Then a rewriting of the log-likelihood function together with an appropriately implemented maximization procedure of the log-likelihood function under linear (or nonlinear restrictions) will accomplish the linking. The proposed method is general enough to cover both the dichotomous item response models (the one parameter logistic (1PL) model, 2PL, and 3PL) and the polytomous unidimensional IRT models like the generalized partial credit model. (Contains 1 note.).



Test Equating Scaling And Linking


Test Equating Scaling And Linking
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Author : Michael J. Kolen
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14

Test Equating Scaling And Linking written by Michael J. Kolen 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 2013-03-14 with Social Science categories.


By providing an introduction to test equating which both discusses the most frequently used equating methodologies and covering many of the practical issues involved, this volume expands upon the coverage of the first edition by providing a new chapter on test scaling and a second on test linking.



Robust Scale Transformation Methods In Irt True Score Equating Under Common Item Nonequivalent Groups Design


Robust Scale Transformation Methods In Irt True Score Equating Under Common Item Nonequivalent Groups Design
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Author : Yong He
language : en
Publisher:
Release Date : 2013

Robust Scale Transformation Methods In Irt True Score Equating Under Common Item Nonequivalent Groups Design written by Yong He and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Electronic Dissertations categories.


Common test items play an important role in equating multiple test forms under the common-item nonequivalent groups design. Inconsistent item parameter estimates among common items can lead to large bias in equated scores for IRT true score equating. Current methods extensively focus on detection and elimination of outlying common items, which usually leads to enlarged random equating error and inadequate content representation of common items. New robust scale transformation methods based on robust regression, the robust Deming regression method, the robust Haebara method, and the least absolute values (LAV) method, were proposed. In simulation studies, performances of the proposed methods were compared to the Stocking-Lord method which yields the least equating errors among the traditional method and to outlier removal methods. The results indicate: 1) the robust Haebara method and the LAV method usually outperform the robust Deming regression method, 2) the robust Haebara method and the LAV method perform as well as the Stocking Lord method under the condition of No outlier, 3) the robust Haebara method and the LAV method perform better than the Stocking-Lord method when a single outlying common item is simulated, 4) the LAV method and the robust Haebara method are better than, or at least comparable to, the existing outlier removal methods in the presence of a single outlying common item, and 5) the LAV method and the robust Haebara method have smaller equated scores than the Stocking-Lord method using the CBASE data of English and Mathematics.



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


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.




Modern Psychometrics With R


Modern Psychometrics With R
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Author : Patrick Mair
language : en
Publisher: Springer
Release Date : 2018-09-20

Modern Psychometrics With R written by Patrick Mair and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-20 with Social Science categories.


This textbook describes the broadening methodology spectrum of psychological measurement in order to meet the statistical needs of a modern psychologist. The way statistics is used, and maybe even perceived, in psychology has drastically changed over the last few years; computationally as well as methodologically. R has taken the field of psychology by storm, to the point that it can now safely be considered the lingua franca for statistical data analysis in psychology. The goal of this book is to give the reader a starting point when analyzing data using a particular method, including advanced versions, and to hopefully motivate him or her to delve deeper into additional literature on the method. Beginning with one of the oldest psychometric model formulations, the true score model, Mair devotes the early chapters to exploring confirmatory factor analysis, modern test theory, and a sequence of multivariate exploratory method. Subsequent chapters present special techniques useful for modern psychological applications including correlation networks, sophisticated parametric clustering techniques, longitudinal measurements on a single participant, and functional magnetic resonance imaging (fMRI) data. In addition to using real-life data sets to demonstrate each method, the book also reports each method in three parts-- first describing when and why to apply it, then how to compute the method in R, and finally how to present, visualize, and interpret the results. Requiring a basic knowledge of statistical methods and R software, but written in a casual tone, this text is ideal for graduate students in psychology. Relevant courses include methods of scaling, latent variable modeling, psychometrics for graduate students in Psychology, and multivariate methods in the social sciences.



A Comparison Of Four Linear Equating Methods For The Common Item Nonequivalent Groups Design Using Simulation Methods Act Research Report Series 2013 2


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.