Ordinal Item Response Theory

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Handbook of Polytomous Item Response Theory Models

Author : Michael Nering
Publisher : Taylor & Francis
ISBN 13 : 1135168725
Total Pages : 307 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Handbook of Polytomous Item Response Theory Models by : Michael Nering

Download or read book Handbook of Polytomous Item Response Theory Models written by Michael Nering and published by Taylor & Francis. This book was released on 2011-01-19 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Multidimensional Item Response Theory

Author : Wes Bonifay
Publisher : SAGE Publications
ISBN 13 : 1506384234
Total Pages : 105 pages
Book Rating : 4.5/5 (63 download)

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Book Synopsis Multidimensional Item Response Theory by : Wes Bonifay

Download or read book Multidimensional Item Response Theory written by Wes Bonifay and published by SAGE Publications. This book was released on 2019-12-10 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: Several decades of psychometric research have led to the development of sophisticated models for multidimensional test data, and in recent years, multidimensional item response theory (MIRT) has become a burgeoning topic in psychological and educational measurement. Considered a cutting-edge statistical technique, the methodology underlying MIRT can be complex, and therefore doesn’t receive much attention in introductory IRT courses. However author Wes Bonifay shows how MIRT can be understood and applied by anyone with a firm grounding in unidimensional IRT modeling. His volume includes practical examples and illustrations, along with numerous figures and diagrams. Multidimensional Item Response Theory includes snippets of R code interspersed throughout the text (with the complete R code included on an accompanying website) to guide readers in exploring MIRT models, estimating the model parameters, generating plots, and implementing the various procedures and applications discussed throughout the book.

Ordinal Item Response Theory

Author : Wijbrandt H. van Schuur
Publisher : SAGE
ISBN 13 : 1452237905
Total Pages : 129 pages
Book Rating : 4.4/5 (522 download)

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Book Synopsis Ordinal Item Response Theory by : Wijbrandt H. van Schuur

Download or read book Ordinal Item Response Theory written by Wijbrandt H. van Schuur and published by SAGE. This book was released on 2011-05-04 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: Measurement in the social sciences often refers to standardized answers to close-ended questions, in which answers are analyzed as if they were measurements on an interval scale. This volume presents a measurement model that maintains the ordinal aspects of the data in order to establish how well the model fits and how it measures subjects and items. It relaxes the most stringent assumptions from parametric item response theory, while maintaining its advantages over classical measurement methods, such as reliability and factor analysis. This volume is less technical than other books on the topic and is ideal for introductory courses in social science measurement.

A Course in Item Response Theory and Modeling with Stata

Author : Tenko Raykov
Publisher :
ISBN 13 : 9781597182669
Total Pages : 270 pages
Book Rating : 4.1/5 (826 download)

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Book Synopsis A Course in Item Response Theory and Modeling with Stata by : Tenko Raykov

Download or read book A Course in Item Response Theory and Modeling with Stata written by Tenko Raykov and published by . This book was released on 2018 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Over the past several decades, item response theory (IRT) and item response modeling (IRM) have become increasingly popular in the behavioral, educational, social, business, marketing, clinical, and health sciences. In this book, Raykov and Marcoulides begin with a nontraditional approach to IRT and IRM that is based on their connections to classical test theory, (nonlinear) factor analysis, generalized linear modeling, and logistic regression. Application-oriented discussions follow next. These cover the one-, two-, and three-parameter logistic models, polytomous item response models (with nominal or ordinal items), item and test information functions, instrument construction and development, hybrid models, differential item functioning, and an introduction to multidimensional IRT and IRM. The pertinent analytic and modeling capabilities of Stata are thoroughly discussed, highlighted, and illustrated on empirical examples from behavioral and social research.

Handbook of Item Response Theory

Author : Wim J. van der Linden
Publisher : CRC Press
ISBN 13 : 1466514426
Total Pages : 624 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Handbook of Item Response Theory by : Wim J. van der Linden

Download or read book Handbook of Item Response Theory written by Wim J. van der Linden and published by CRC Press. This book was released on 2016-10-14 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drawing on the work of internationally acclaimed experts in the field, Handbook of Item Response Theory, Volume One: Models presents all major item response models. This first volume in a three-volume set covers many model developments that have occurred in item response theory (IRT) during the last 20 years. It describes models for different response formats or response processes, the need of deeper parameterization due to a multilevel or hierarchical structure of the response data, and other extensions and insights. In Volume One, all chapters have a common format with each chapter focusing on one family of models or modeling approach. An introductory section in every chapter includes some history of the model and a motivation of its relevance. Subsequent sections present the model more formally, treat the estimation of its parameters, show how to evaluate its fit to empirical data, illustrate the use of the model through an empirical example, and discuss further applications and remaining research issues.

Multidimensional Item Response Theory

Author : M.D. Reckase
Publisher : Springer Science & Business Media
ISBN 13 : 0387899766
Total Pages : 355 pages
Book Rating : 4.3/5 (878 download)

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Book Synopsis Multidimensional Item Response Theory by : M.D. Reckase

Download or read book Multidimensional Item Response Theory written by M.D. Reckase and published by Springer Science & Business Media. This book was released on 2009-07-07 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: First thorough treatment of multidimensional item response theory Description of methods is supported by numerous practical examples Describes procedures for multidimensional computerized adaptive testing

The Theory and Practice of Item Response Theory, Second Edition

Author : R. J. de Ayala
Publisher : Guilford Publications
ISBN 13 : 1462547753
Total Pages : 674 pages
Book Rating : 4.4/5 (625 download)

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Book Synopsis The Theory and Practice of Item Response Theory, Second Edition by : R. J. de Ayala

Download or read book The Theory and Practice of Item Response Theory, Second Edition written by R. J. de Ayala and published by Guilford Publications. This book was released on 2022-04-29 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to measurement -- The one-parameter model -- Joint maximum likelihood parameter estimation -- Marginal maximum likelihood parameter estimation -- The two-parameter model -- The three-parameter model -- Rasch models for ordered polytomous data -- Non-Rasch models for ordered polytomous data -- Models for nominal polytomous data -- Models for multidimensional data -- Linking and equating -- Differential item functioning -- Multilevel IRT models.

The Wiley Handbook of Psychometric Testing

Author : Paul Irwing
Publisher : John Wiley & Sons
ISBN 13 : 1118489705
Total Pages : 1064 pages
Book Rating : 4.1/5 (184 download)

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Book Synopsis The Wiley Handbook of Psychometric Testing by : Paul Irwing

Download or read book The Wiley Handbook of Psychometric Testing written by Paul Irwing and published by John Wiley & Sons. This book was released on 2018-03-14 with total page 1064 pages. Available in PDF, EPUB and Kindle. Book excerpt: A must-have resource for researchers, practitioners, and advanced students interested or involved in psychometric testing Over the past hundred years, psychometric testing has proved to be a valuable tool for measuring personality, mental ability, attitudes, and much more. The word ‘psychometrics’ can be translated as ‘mental measurement’; however, the implication that psychometrics as a field is confined to psychology is highly misleading. Scientists and practitioners from virtually every conceivable discipline now use and analyze data collected from questionnaires, scales, and tests developed from psychometric principles, and the field is vibrant with new and useful methods and approaches. This handbook brings together contributions from leading psychometricians in a diverse array of fields around the globe. Each provides accessible and practical information about their specialist area in a three-step format covering historical and standard approaches, innovative issues and techniques, and practical guidance on how to apply the methods discussed. Throughout, real-world examples help to illustrate and clarify key aspects of the topics covered. The aim is to fill a gap for information about psychometric testing that is neither too basic nor too technical and specialized, and will enable researchers, practitioners, and graduate students to expand their knowledge and skills in the area. Provides comprehensive coverage of the field of psychometric testing, from designing a test through writing items to constructing and evaluating scales Takes a practical approach, addressing real issues faced by practitioners and researchers Provides basic and accessible mathematical and statistical foundations of all psychometric techniques discussed Provides example software code to help readers implement the analyses discussed

The Basics of Item Response Theory Using R

Author : Frank B. Baker
Publisher : Springer
ISBN 13 : 3319542052
Total Pages : 177 pages
Book Rating : 4.3/5 (195 download)

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Book Synopsis The Basics of Item Response Theory Using R by : Frank B. Baker

Download or read book The Basics of Item Response Theory Using R written by Frank B. Baker and published by Springer. This book was released on 2017-04-25 with total page 177 pages. Available in PDF, EPUB and Kindle. Book excerpt: This graduate-level textbook is a tutorial for item response theory that covers both the basics of item response theory and the use of R for preparing graphical presentation in writings about the theory. Item response theory has become one of the most powerful tools used in test construction, yet one of the barriers to learning and applying it is the considerable amount of sophisticated computational effort required to illustrate even the simplest concepts. This text provides the reader access to the basic concepts of item response theory freed of the tedious underlying calculations. It is intended for those who possess limited knowledge of educational measurement and psychometrics. Rather than presenting the full scope of item response theory, this textbook is concise and practical and presents basic concepts without becoming enmeshed in underlying mathematical and computational complexities. Clearly written text and succinct R code allow anyone familiar with statistical concepts to explore and apply item response theory in a practical way. In addition to students of educational measurement, this text will be valuable to measurement specialists working in testing programs at any level and who need an understanding of item response theory in order to evaluate its potential in their settings.

Modern Psychometrics with R

Author : Patrick Mair
Publisher : Springer
ISBN 13 : 3319931776
Total Pages : 464 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Modern Psychometrics with R by : Patrick Mair

Download or read book Modern Psychometrics with R written by Patrick Mair and published by Springer. This book was released on 2018-09-20 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Statistical Methods for Quality of Life Studies

Author : Mounir Mesbah
Publisher : Springer Science & Business Media
ISBN 13 : 9781402001420
Total Pages : 390 pages
Book Rating : 4.0/5 (14 download)

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Book Synopsis Statistical Methods for Quality of Life Studies by : Mounir Mesbah

Download or read book Statistical Methods for Quality of Life Studies written by Mounir Mesbah and published by Springer Science & Business Media. This book was released on 2002-08-31 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume presents a broad spectrum of papers which illustrates a range of current research related to the theory, methods and applications of health related quality of life (HRQoL) as well as the interdisciplinary nature of this work.

Bayesian Item Response Modeling

Author : Jean-Paul Fox
Publisher : Springer Science & Business Media
ISBN 13 : 1441907424
Total Pages : 323 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis Bayesian Item Response Modeling by : Jean-Paul Fox

Download or read book Bayesian Item Response Modeling written by Jean-Paul Fox and published by Springer Science & Business Media. This book was released on 2010-05-19 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: The modeling of item response data is governed by item response theory, also referred to as modern test theory. The eld of inquiry of item response theory has become very large and shows the enormous progress that has been made. The mainstream literature is focused on frequentist statistical methods for - timating model parameters and evaluating model t. However, the Bayesian methodology has shown great potential, particularly for making further - provements in the statistical modeling process. The Bayesian approach has two important features that make it attractive for modeling item response data. First, it enables the possibility of incorpor- ing nondata information beyond the observed responses into the analysis. The Bayesian methodology is also very clear about how additional information can be used. Second, the Bayesian approach comes with powerful simulation-based estimation methods. These methods make it possible to handle all kinds of priors and data-generating models. One of my motives for writing this book is to give an introduction to the Bayesian methodology for modeling and analyzing item response data. A Bayesian counterpart is presented to the many popular item response theory books (e.g., Baker and Kim 2004; De Boeck and Wilson, 2004; Hambleton and Swaminathan, 1985; van der Linden and Hambleton, 1997) that are mainly or completely focused on frequentist methods. The usefulness of the Bayesian methodology is illustrated by discussing and applying a range of Bayesian item response models.

Item Response Theory for Psychologists

Author : Susan E. Embretson
Publisher : Psychology Press
ISBN 13 : 9780805828184
Total Pages : 371 pages
Book Rating : 4.8/5 (281 download)

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Book Synopsis Item Response Theory for Psychologists by : Susan E. Embretson

Download or read book Item Response Theory for Psychologists written by Susan E. Embretson and published by Psychology Press. This book was released on 2000 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Item Response Theory (IRT) is, increasingly, the psychometric method used for contemporary psychological tests. The goal of this book is to explain IRT. The book is especially useful to psychologists and social scientists familiar with small-scale cognitive and personality measures, of those who want to use IRT to analyze scales used in their own research. It is also useful for graduate students and practitioners who want to understand the contemporary, psychometric foundations of the tests they administer. Familiar psychological concepts are used to help explain various IRT principles. The book develops an intuitive understanding of IRT principles through its use of graphical displays and analysis of psychological principles."--Jacket.

Handbook of Modern Item Response Theory

Author : Wim J. van der Linden
Publisher : Springer Science & Business Media
ISBN 13 : 1475726910
Total Pages : 509 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Handbook of Modern Item Response Theory by : Wim J. van der Linden

Download or read book Handbook of Modern Item Response Theory written by Wim J. van der Linden and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Item response theory has become an essential component in the toolkit of every researcher in the behavioral sciences. It provides a powerful means to study individual responses to a variety of stimuli, and the methodology has been extended and developed to cover many different models of interaction. This volume presents a wide-ranging handbook to item response theory - and its applications to educational and psychological testing. It will serve as both an introduction to the subject and also as a comprehensive reference volume for practitioners and researchers. It is organized into six major sections: the nominal categories model, models for response time or multiple attempts on items, models for multiple abilities or cognitive components, nonparametric models, models for nonmonotone items, and models with special assumptions. Each chapter in the book has been written by an expert of that particular topic, and the chapters have been carefully edited to ensure that a uniform style of notation and presentation is used throughout. As a result, all researchers whose work uses item response theory will find this an indispensable companion to their work and it will be the subject's reference volume for many years to come.

Handbook of Item Response Theory Modeling

Author : Steven P. Reise
Publisher : Routledge
ISBN 13 : 1317565703
Total Pages : 484 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis Handbook of Item Response Theory Modeling by : Steven P. Reise

Download or read book Handbook of Item Response Theory Modeling written by Steven P. Reise and published by Routledge. This book was released on 2014-11-20 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: Item response theory (IRT) has moved beyond the confines of educational measurement into assessment domains such as personality, psychopathology, and patient-reported outcomes. Classic and emerging IRT methods and applications that are revolutionizing psychological measurement, particularly for health assessments used to demonstrate treatment effectiveness, are reviewed in this new volume. World renowned contributors present the latest research and methodologies about these models along with their applications and related challenges. Examples using real data, some from NIH-PROMIS, show how to apply these models in actual research situations. Chapters review fundamental issues of IRT, modern estimation methods, testing assumptions, evaluating fit, item banking, scoring in multidimensional models, and advanced IRT methods. New multidimensional models are provided along with suggestions for deciding among the family of IRT models available. Each chapter provides an introduction, describes state-of-the art research methods, demonstrates an application, and provides a summary. The book addresses the most critical IRT conceptual and statistical issues confronting researchers and advanced students in psychology, education, and medicine today. Although the chapters highlight health outcomes data the issues addressed are relevant to any content domain. The book addresses: IRT models applied to non-educational data especially patient reported outcomes Differences between cognitive and non-cognitive constructs and the challenges these bring to modeling. The application of multidimensional IRT models designed to capture typical performance data. Cutting-edge methods for deriving a single latent dimension from multidimensional data A new model designed for the measurement of constructs that are defined on one end of a continuum such as substance abuse Scoring individuals under different multidimensional IRT models and item banking for patient-reported health outcomes How to evaluate measurement invariance, diagnose problems with response categories, and assess growth and change. Part 1 reviews fundamental topics such as assumption testing, parameter estimation, and the assessment of model and person fit. New, emerging, and classic IRT models including modeling multidimensional data and the use of new IRT models in typical performance measurement contexts are examined in Part 2. Part 3 reviews the major applications of IRT models such as scoring, item banking for patient-reported health outcomes, evaluating measurement invariance, linking scales to a common metric, and measuring growth and change. The book concludes with a look at future IRT applications in health outcomes measurement. The book summarizes the latest advances and critiques foundational topics such a multidimensionality, assessment of fit, handling non-normality, as well as applied topics such as differential item functioning and multidimensional linking. Intended for researchers, advanced students, and practitioners in psychology, education, and medicine interested in applying IRT methods, this book also serves as a text in advanced graduate courses on IRT or measurement. Familiarity with factor analysis, latent variables, IRT, and basic measurement theory is assumed.

Handbook of Diagnostic Classification Models

Author : Matthias von Davier
Publisher : Springer Nature
ISBN 13 : 3030055841
Total Pages : 646 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Handbook of Diagnostic Classification Models by : Matthias von Davier

Download or read book Handbook of Diagnostic Classification Models written by Matthias von Davier and published by Springer Nature. This book was released on 2019-10-11 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides an overview of major developments around diagnostic classification models (DCMs) with regard to modeling, estimation, model checking, scoring, and applications. It brings together not only the current state of the art, but also the theoretical background and models developed for diagnostic classification. The handbook also offers applications and special topics and practical guidelines how to plan and conduct research studies with the help of DCMs. Commonly used models in educational measurement and psychometrics typically assume a single latent trait or at best a small number of latent variables that are aimed at describing individual differences in observed behavior. While this allows simple rankings of test takers along one or a few dimensions, it does not provide a detailed picture of strengths and weaknesses when assessing complex cognitive skills. DCMs, on the other hand, allow the evaluation of test taker performance relative to a potentially large number of skill domains. Most diagnostic models provide a binary mastery/non-mastery classification for each of the assumed test taker attributes representing these skill domains. Attribute profiles can be used for formative decisions as well as for summative purposes, for example in a multiple cut-off procedure that requires mastery on at least a certain subset of skills. The number of DCMs discussed in the literature and applied to a variety of assessment data has been increasing over the past decades, and their appeal to researchers and practitioners alike continues to grow. These models have been used in English language assessment, international large scale assessments, and for feedback for practice exams in preparation of college admission testing, just to name a few. Nowadays, technology-based assessments provide increasingly rich data on a multitude of skills and allow collection of data with respect to multiple types of behaviors. Diagnostic models can be understood as an ideal match for these types of data collections to provide more in-depth information about test taker skills and behavioral tendencies.

Item Response Theory

Author : Ronald K. Hambleton
Publisher : Springer Science & Business Media
ISBN 13 : 9401719888
Total Pages : 340 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Item Response Theory by : Ronald K. Hambleton

Download or read book Item Response Theory written by Ronald K. Hambleton and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the decade of the 1970s, item response theory became the dominant topic for study by measurement specialists. But, the genesis of item response theory (IRT) can be traced back to the mid-thirties and early forties. In fact, the term "Item Characteristic Curve," which is one of the main IRT concepts, can be attributed to Ledyard Tucker in 1946. Despite these early research efforts, interest in item response theory lay dormant until the late 1960s and took a backseat to the emerging development of strong true score theory. While true score theory developed rapidly and drew the attention of leading psychometricians, the problems and weaknesses inherent in its formulation began to raise concerns. Such problems as the lack of invariance of item parameters across examinee groups, and the inadequacy of classical test procedures to detect item bias or to provide a sound basis for measurement in "tailored testing," gave rise to a resurgence of interest in item response theory. Impetus for the development of item response theory as we now know it was provided by Frederic M. Lord through his pioneering works (Lord, 1952; 1953a, 1953b). The progress in the fifties was painstakingly slow due to the mathematical complexity of the topic and the nonexistence of computer programs.