Rasch Measurement

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A Course in Rasch Measurement Theory

Author : David Andrich
Publisher : Springer
ISBN 13 : 9811374961
Total Pages : 478 pages
Book Rating : 4.8/5 (113 download)

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Book Synopsis A Course in Rasch Measurement Theory by : David Andrich

Download or read book A Course in Rasch Measurement Theory written by David Andrich and published by Springer. This book was released on 2019-07-15 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book applies Rasch measurement theory to the fields of education, psychology, sociology, marketing and health outcomes in order to measure various social constructs. The chief focus is on first principles of both the theory and its applications. Because software is readily available to carry out analyses of real data, numerous small examples are provided in the book. The software used in these examples, and which is helpful in working through the text, is RUMM2030 (Rasch unidimensional models for measurement). The book’s main goals are to equip researchers with the confidence they need in order to be in control of the analysis and interpretation of data, and to make professional rather than primarily statistical decisions mechanically. Because statistical principles are necessarily involved, reviews of the requisite statistics are provided in the Appendix. The content is based on courses that have been taught both online and in intensive form for over two decades. Although first principles are emphasised, much of the book is based on research conducted by the two authors and their colleagues.

Rasch Measurement Theory Analysis in R

Author : Stefanie Wind
Publisher : CRC Press
ISBN 13 : 1000587762
Total Pages : 327 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Rasch Measurement Theory Analysis in R by : Stefanie Wind

Download or read book Rasch Measurement Theory Analysis in R written by Stefanie Wind and published by CRC Press. This book was released on 2022-06-07 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rasch Measurement Theory Analysis in R provides researchers and practitioners with a step-by-step guide for conducting Rasch measurement theory analyses using R. It includes theoretical introductions to major Rasch measurement principles and techniques, demonstrations of analyses using several R packages that contain Rasch measurement functions, and sample interpretations of results. Features: Accessible to users with relatively little experience with R programming Reproducible data analysis examples that can be modified to accommodate users’ own data Accompanying e-book website with links to additional resources and R code updates as needed Features dichotomous and polytomous (rating scale) Rasch models that can be applied to data from a wide range of disciplines This book is designed for graduate students, researchers, and practitioners across the social, health, and behavioral sciences who have a basic familiarity with Rasch measurement theory and with R. Readers will learn how to use existing R packages to conduct a variety of analyses related to Rasch measurement theory, including evaluating data for adherence to measurement requirements, applying the dichotomous, Rating Scale, Partial Credit, and Many-Facet Rasch models, examining data for evidence of differential item functioning, and considering potential interpretations of results from such analyses.

Applying the Rasch Model

Author : Trevor G. Bond
Publisher : Psychology Press
ISBN 13 : 1135602646
Total Pages : 358 pages
Book Rating : 4.1/5 (356 download)

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Book Synopsis Applying the Rasch Model by : Trevor G. Bond

Download or read book Applying the Rasch Model written by Trevor G. Bond and published by Psychology Press. This book was released on 2013-11-05 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in an accessible style, this book facilitates a deep understanding of the Rasch model. Authors Bond and Fox review the crucial properties of the Rasch model and demonstrate its use with a wide range of examples including the measurement of educational achievement, human development, attitudes, and medical rehabilitation. A glossary and numerous illustrations further aid the reader's understanding. The authors demonstrate how to apply Rasch analysis and prepare readers to perform their own analyses and interpret the results. Updated throughout, highlights of the Second Edition include: a new CD that features an introductory version of the latest Winsteps program and the data files for the book’s examples, preprogrammed to run using Winsteps; a new chapter on invariance that highlights the parallels between physical and human science measurement; a new appendix on analyzing data to help those new to Rasch analysis; more explanation of the key concepts and item characteristic curves; a new empirical example with data sets demonstrates the many facets of the Rasch model and other new examples; and an increased focus on issues related to unidimensionality, multidimensionality, and the Rasch factor analysis of residuals. Applying the Rasch Model is intended for researchers and practitioners in psychology, especially developmental psychologists, education, health care, medical rehabilitation, business, government, and those interested in measuring attitude, ability, and/or performance. The book is an excellent text for use in courses on advanced research methods, measurement, or quantitative analysis. Significant knowledge of statistics is not required.

Introduction to Many-Facet Rasch Measurement

Author : Thomas Eckes
Publisher : Peter Lang Copyright AG - Ipsuk
ISBN 13 : 9783631903049
Total Pages : 0 pages
Book Rating : 4.9/5 (3 download)

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Book Synopsis Introduction to Many-Facet Rasch Measurement by : Thomas Eckes

Download or read book Introduction to Many-Facet Rasch Measurement written by Thomas Eckes and published by Peter Lang Copyright AG - Ipsuk. This book was released on 2023-04-28 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human ratings are subject to various forms of error and bias. Since the early days of performance assessment, this problem has been sizeable and persistent. For example, expert raters evaluating the quality of an essay, an oral communication, or a work sample, often come up with different ratings for the very same performance. In cases like this, assessment outcomes largely depend upon which raters happen to provide the rating, posing a threat to the validity and fairness of the assessment. This book provides an introduction to a psychometric approach that establishes a coherent framework for drawing reliable, valid, and fair inferences from rater-mediated assessments, thus answering the problem of inevitably fallible human ratings: many-facet Rasch measurement (MFRM). Throughout the book, sample data taken from a writing performance assessment are used to illustrate key concepts, theoretical foundations, and analytic procedures, stimulating the readers to adopt the MFRM approach in their current or future professional context.

Rasch Measurement

Author : Myint Swe Khine
Publisher : Springer Nature
ISBN 13 : 9811518009
Total Pages : 281 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Rasch Measurement by : Myint Swe Khine

Download or read book Rasch Measurement written by Myint Swe Khine and published by Springer Nature. This book was released on 2020-01-01 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the use of the Rasch measurement model in validation studies and in analyzing the psychometric properties of a variety of test instruments, questionnaires, and scales in international contexts. It broadly examines the development and application of Rasch modeling, providing in-depth analyses of the properties of various scales used in the fields of education, and humanities and social sciences research. The book includes exemplary works on educational research and practices that highlight recent and innovative applications, as well as theoretical and practical aspects of Rasch modeling. Readers will find it helpful to understand the latest approaches to Rasch measurement in educational research, as well as practices for future studies and quantitative research. 'This book provides a diverse set of perspectives on Rasch models from scholars across the globe. The volume is both theoretical and applied. The first section of the book provides an overview of Rasch modeling and explains the theoretical and conceptual framework underlying the Rasch model. The remainder of the book highlights multiple applications of the Rasch model within educational assessment as well as several examples of how Rasch modeling can be used for validation studies. This volume showcases the wide variety of ways in which Rasch modeling can be applied to assessment data to provide insights into students’ achievement and learning and to improve instruction.'–Betsy McCoach, University of Connecticut, USA. 'A well-written collection of articles. Grouped by the theoretical and applied aspects of Rasch measurement, each chapter in this edited volume makes notable contributions to knowledge and practice. Written by leading scholars in the field, these chapters were written in a clear, succinct, and assertive manner, providing readers with up-to-date information, analyses, and debates. This book should be found in the core collection of emerging researchers and established scholars in educational measurement.'–Timothy Teo, Murdoch University, Australia.

Rasch Analysis in the Human Sciences

Author : William J. Boone
Publisher : Springer Science & Business Media
ISBN 13 : 9400768575
Total Pages : 489 pages
Book Rating : 4.4/5 (7 download)

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Book Synopsis Rasch Analysis in the Human Sciences by : William J. Boone

Download or read book Rasch Analysis in the Human Sciences written by William J. Boone and published by Springer Science & Business Media. This book was released on 2013-12-13 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rasch Analysis in the Human Sciences helps individuals, both students and researchers, master the key concepts and resources needed to use Rasch techniques for analyzing data from assessments to measure variables such as abilities, attitudes, and personality traits. Upon completion of the text, readers will be able to confidently evaluate the strengths and weakness of existing instrumentation, compute linear person measures and item measures, interpret Wright Maps, utilize Rasch software, and understand what it means to measure in the Human Sciences. Each of the 24 chapters presents a key concept using a mix of theory and application of user-friendly Rasch software. Chapters also include a beginning and ending dialogue between two typical researchers learning Rasch, "Formative Assessment Check Points," sample data files, an extensive set of application activities with answers, a one paragraph sample research article text integrating the chapter topic, quick-tips, and suggested readings. Rasch Analysis in the Human Sciences will be an essential resource for anyone wishing to begin, or expand, their learning of Rasch measurement techniques, be it in the Health Sciences, Market Research, Education, or Psychology.

Introduction to Rasch Measurement

Author : Everett V. Smith
Publisher : Jam Press
ISBN 13 :
Total Pages : 714 pages
Book Rating : 4.0/5 ( download)

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Book Synopsis Introduction to Rasch Measurement by : Everett V. Smith

Download or read book Introduction to Rasch Measurement written by Everett V. Smith and published by Jam Press. This book was released on 2004 with total page 714 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applied Rasch Measurement: A Book of Exemplars

Author : Sivakumar Alagumalai
Publisher : Springer Science & Business Media
ISBN 13 : 1402030762
Total Pages : 361 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Applied Rasch Measurement: A Book of Exemplars by : Sivakumar Alagumalai

Download or read book Applied Rasch Measurement: A Book of Exemplars written by Sivakumar Alagumalai and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: While the primary purpose of the book is a celebration of John’s contributions to the field of measurement, a second and related purpose is to provide a useful resource. We believe that the combination of the developmental history and theory of the method, the examples of its use in practice, some possible future directions, and software and data files will make this book a valuable resource for teachers and scholars of the Rasch method. This book is a tribute to Professor John P Keeves for the advocacy of the Rasch model in Australia. Happy 80th birthday John! xii There are good introductory texts on Item Response Theory, Objective Measurement and the Rasch model. However, for a beginning researcher keen on utilising the potentials of the Rasch model, theoretical discussions of test theory and associated indices do not meet their pragmatic needs. Furthermore, many researchers in measurement still have little or no knowledge of the features of the Rasch model and its use in a variety of situations and disciplines. This book attempts to describe the underlying axioms of test theory, and, in particular, the concepts of objective measurement and the Rasch model, and then link theory to practice. We have been introduced to the various models of test theory during our graduate days. It was time for us to share with those keen in the field of measurement in education, psychology and the social sciences the theoretical and practical aspects of objective measurement.

Invariant Measurement with Raters and Rating Scales

Author : George Engelhard Jr.
Publisher : Routledge
ISBN 13 : 1317661591
Total Pages : 457 pages
Book Rating : 4.3/5 (176 download)

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Book Synopsis Invariant Measurement with Raters and Rating Scales by : George Engelhard Jr.

Download or read book Invariant Measurement with Raters and Rating Scales written by George Engelhard Jr. and published by Routledge. This book was released on 2017-12-15 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to present methods for developing, evaluating and maintaining rater-mediated assessment systems. Rater-mediated assessments involve ratings that are assigned by raters to persons responding to constructed-response items (e.g., written essays and teacher portfolios) and other types of performance assessments. This book addresses the following topics: (1) introduction to the principles of invariant measurement, (2) application of the principles of invariant measurement to rater-mediated assessments, (3) description of the lens model for rater judgments, (4) integration of principles of invariant measurement with the lens model of cognitive processes of raters, (5) illustration of substantive and psychometric issues related to rater-mediated assessments in terms of validity, reliability, and fairness, and (6) discussion of theoretical and practical issues related to rater-mediated assessment systems. Invariant measurement is fast becoming the dominant paradigm for assessment systems around the world, and this book provides an invaluable resource for graduate students, measurement practitioners, substantive theorists in the human sciences, and other individuals interested in invariant measurement when judgments are obtained with rating scales.

Rasch Models in Health

Author : Karl Bang Christensen
Publisher : John Wiley & Sons
ISBN 13 : 1118574540
Total Pages : 386 pages
Book Rating : 4.1/5 (185 download)

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Book Synopsis Rasch Models in Health by : Karl Bang Christensen

Download or read book Rasch Models in Health written by Karl Bang Christensen and published by John Wiley & Sons. This book was released on 2013-01-29 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The family of statistical models known as Rasch models started with a simple model for responses to questions in educational tests presented together with a number of related models that the Danish mathematician Georg Rasch referred to as models for measurement. Since the beginning of the 1950s the use of Rasch models has grown and has spread from education to the measurement of health status. This book contains a comprehensive overview of the statistical theory of Rasch models. Part 1 contains the probabilistic definition of Rasch models, Part 2 describes the estimation of item and person parameters, Part 3 concerns the assessment of the data-model fit of Rasch models, Part 4 contains applications of Rasch models, Part 5 discusses how to develop health-related instruments for Rasch models, and Part 6 describes how to perform Rasch analysis and document results.

Invariant Measurement

Author : George Engelhard Jr.
Publisher : Routledge
ISBN 13 : 1135104530
Total Pages : 313 pages
Book Rating : 4.1/5 (351 download)

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Book Synopsis Invariant Measurement by : George Engelhard Jr.

Download or read book Invariant Measurement written by George Engelhard Jr. and published by Routledge. This book was released on 2013-05-07 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text describes the principles of invariant measurement, how invariant measurement can be achieved with Rasch models, and how to use invariant measurement to solve measurement problems in the social, behavioral, and health sciences. Rasch models are used throughout but a comparison of Rasch models to other item response theory (IRT) models is also provided. Written with students in mind, the manuscript was class tested to help maximize accessibility. Chapters open with an introduction and close with a summary and discussion. Numerous examples and exercises demonstrate the main issues addressed in each chapter. Key terms are defined when first introduced and in an end-of-text glossary. All of the book’s analyses were conducted with the Facets program. The data sets used in the book, sample syntax files for running the Facets program, Excel files for creating item and person response functions, links to related websites, and other material are available at www.GeorgeEngelhard.com. Highlights include: A strong philosophical and methodological approach to measurement in the human sciences Demonstrations of how measurement problems can be addressed using invariant measurement Practical illustrations of how to create and evaluate scales using invariant measurement A history of measurement based on test-score and scaling traditions Previously unpublished work in analyzing rating data, the detection and measurement of rater errors, and the evaluation of rater accuracy A review of estimation methods, model-data fit, indices used to evaluate the quality of rater-mediated assessments, rater error and bias, and rater accuracy. Intended as a supplementary text for graduate or advanced undergraduate courses on measurement or test theory, item response theory, scaling theory, psychometrics, advanced measurement techniques, research methods, or evaluation research taught in education, psychology, and the social and health sciences, the book also appeals to practitioners and researchers in these fields who develop or use scales and instruments. Only a basic mathematical level is required including a basic course in statistic.

Applying the Rasch Model in Social Sciences Using R

Author : Iasonas Lamprianou
Publisher : Routledge
ISBN 13 : 1351378430
Total Pages : 274 pages
Book Rating : 4.3/5 (513 download)

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Book Synopsis Applying the Rasch Model in Social Sciences Using R by : Iasonas Lamprianou

Download or read book Applying the Rasch Model in Social Sciences Using R written by Iasonas Lamprianou and published by Routledge. This book was released on 2019-12-12 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique text provides a step-by-step beginner’s guide to applying the Rasch model in R, a probabilistic model used by researchers across the social sciences to measure unobservable ("latent") variables. Each chapter is devoted to one popular Rasch model, ranging from the least to the most complex. Through a freely available and user-friendly package, BlueSky Statistics, Lamprianou offers a range of options for presenting results, critically examines the strengths and weaknesses of applying the Rasch model in each instance, and suggests more effective methodologies where applicable. With a focus on simple software code which does not assume extensive mathematical knowledge, the reader is initially introduced to the so-called simple Rasch Model to construct a "political activism" variable out of a group of dichotomously scored questions. In subsequent chapters, the book covers everything from the Rating Scale to the Many-facets Rasch model. The final chapter even showcases a complete mock manuscript, demonstrating how a Rasch-based paper on the identification of online hate speech should look like. Combining theoretical rigor and real-world examples with empirical datasets from published papers, this book is essential reading for students and researchers alike who aspire to use Rasch models in their research.

Multivariate and Mixture Distribution Rasch Models

Author : Matthias Davier
Publisher : Springer Science & Business Media
ISBN 13 : 0387498397
Total Pages : 400 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Multivariate and Mixture Distribution Rasch Models by : Matthias Davier

Download or read book Multivariate and Mixture Distribution Rasch Models written by Matthias Davier and published by Springer Science & Business Media. This book was released on 2007-12-15 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book examines extensions of the Rasch model, one of the most researched and applied models in educational research and social science. This collection contains 22 chapters by some of the most renowned international experts in the field. They cover topics ranging from general model extensions to applications in fields as diverse as cognition, personality, organizational and sports psychology, and health sciences and education.

Applications of Rasch Measurement in Learning Environments Research

Author : Robert F. Cavanagh
Publisher : Springer Science & Business Media
ISBN 13 : 9460914934
Total Pages : 327 pages
Book Rating : 4.4/5 (69 download)

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Book Synopsis Applications of Rasch Measurement in Learning Environments Research by : Robert F. Cavanagh

Download or read book Applications of Rasch Measurement in Learning Environments Research written by Robert F. Cavanagh and published by Springer Science & Business Media. This book was released on 2011-11-12 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major advances in creating linear measures in education and the social sciences, particularly in regard to Rasch measurement, have occurred in the past 15 years, along with major advances in computer power. These have been combined so that the Rasch Unidimensional Measurement Model (RUMM) and the WINSTEPS computer programs now do statistical calculations and produce graphical outputs with very fast switching times. These programs help researchers produce unidimensional, linear scales from which valid inferences can be made by calculating person measures and item difficulties on the same linear scale, with supporting evidence. These computer programs are now available to all Learning Environment researchers. This book includes 13 Learning Environment research papers using Rasch measurement applied at the forefront of education with an international flavour. The contents of the papers relate to: (1) high stakes numeracy testing in Western Australia; (2) early English literacy in New South Wales; (3) the Indonesian Scholastic Aptitude Test; (4) validity in Learning Environment investigations; (5) factors influencing the take-up of Physics in Singapore; (6) state-wide authentic assessment for Years 11-12; (7) talented and gifted student perceptions of the learning environment; (8) disorganisation in the classroom; (9) psychological services in learning environments; (10) English teaching assistant roles in Hong Kong; (11) learning Japanese as a second language; (12) engagement in classroom learning; and (13) early cognitive development in children. This book would be of interest to all educators and educational administrators, to Learning Environment researchers and PhD students, and should be available in all university libraries where the universities have education schools or faculties. –Russell Waugh-

Rasch Models

Author : Gerhard H. Fischer
Publisher : Springer Science & Business Media
ISBN 13 : 9780387944999
Total Pages : 470 pages
Book Rating : 4.9/5 (449 download)

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Book Synopsis Rasch Models by : Gerhard H. Fischer

Download or read book Rasch Models written by Gerhard H. Fischer and published by Springer Science & Business Media. This book was released on 1995-04-13 with total page 470 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thirty-two years after the publication of the legendary 'Rasch book' (Rasch, 1960), the rich literature on the Rasch model and its extensions was scattered in journals and many less accessible sources, including 'grey' literature. When asked by students or junior researchers for references to the Rasch model, it was a typical reaction on the part of the editors to state that it was difficult to name one, or just a few; actually, only a whole list of references differing in notation and level of formal abstraction seemed to meet the request in most cases. Therefore, in 1992 the editors decided to invite a number of outstanding authors in the field of Rasch modeling to contribute to a book presenting the current state of knowledge about Rasch models. The aim was not just to collect a number of papers on the subject, rather to produce a well-organized monograph. To this end, a workshop was held in Vienna from 25 to 27 February 1993 in which, after a process of mutual reviewing, drafts of all chapters were read and discussed by all authors, leading to a more systematic organization of the topics treated in unified notation and terminology. (The workshop was sponsored by the University of Vienna; here, the editors would like to express their thanks, in the name of all contributors, both for the financial support and for the hospitality granted.

Applying the Rasch Model

Author : Trevor Bond
Publisher : Routledge
ISBN 13 : 1317805267
Total Pages : 406 pages
Book Rating : 4.3/5 (178 download)

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Book Synopsis Applying the Rasch Model by : Trevor Bond

Download or read book Applying the Rasch Model written by Trevor Bond and published by Routledge. This book was released on 2015-06-05 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cited over 1900 times, this classic text facilitates a deep understanding of the Rasch model. The authors review the crucial properties of the model and demonstrate its use with a variety of examples from education, psychology, and health. A glossary and numerous illustrations aid the reader's understanding. Readers learn how to apply Rasch analysis so they can perform their own analyses and interpret the results. The authors present an accessible overview that does not require a mathematical background. Highlights of the new edition include: -More learning tools to strengthen readers’ understanding including chapter introductions, boldfaced key terms, chapter summaries, activities, and suggested readings. -Divided chapters (4, 6, 7 & 8) into basic and extended understanding sections so readers can select the level most appropriate for their needs and to provide more in-depth investigations of key topics. -A website at www.routledge.com/9780415833424 that features free Rasch software, data sets, an Invariance worksheet, detailed instructions for key analyses, and links to related sources. -Greater emphasis on the role of Rasch measurement as a priori in the construction of scales and its use post hoc to reveal the extent to which interval scale measurement is instantiated in existing data sets. -Emphasizes the importance of interval level measurement data and demonstrates how Rasch measurement is used to examine measurement invariance. -Insights from other Rasch scholars via innovative applications (Ch. 9). -Extended discussion of invariance now reviews DIF, DPF, and anchoring (ch. 5). -Revised Rating Scale Model material now based on the analysis of the CEAQ (ch.6). -Clarifies the relationships between Rasch measurement, True Score Theory, and Item Response Theory by reviewing their commonalities and differences (Ch.13). -Provides more detail on how to conduct a Rasch analysis so readers can use the techniques on their own (Appendix B). Intended as a text for graduate courses in measurement, item response theory, (advanced) research methods or quantitative analysis taught in psychology, education, human development, business, and other social and health sciences, professionals in these areas also appreciate the book‘s accessible introduction.

Using and Developing Measurement Instruments in Science Education

Author : Xiufeng Liu
Publisher : IAP
ISBN 13 : 1617350052
Total Pages : 281 pages
Book Rating : 4.6/5 (173 download)

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Book Synopsis Using and Developing Measurement Instruments in Science Education by : Xiufeng Liu

Download or read book Using and Developing Measurement Instruments in Science Education written by Xiufeng Liu and published by IAP. This book was released on 2010-04-01 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book meets a demand in the science education community for a comprehensive and introductory measurement book in science education. It describes measurement instruments reported in refereed science education research journals, and introduces the Rasch modeling approach to developing measurement instruments in common science assessment domains, i.e. conceptual understanding, affective variables, science inquiry, learning progression, and learning environments. This book can help readers develop a sound understanding of measurement theories and approaches, particularly Rasch modeling, to using and developing measurement instruments for science education research. This book is for anyone who is interested in knowing what measurement instruments are available and how to develop measurement instruments for science education research. For example, this book can be a textbook for a graduate course in science education research methods; it helps graduate students develop competence in using and developing standardized measurement instruments for science education research. For use as a textbook there are summaries and exercises at the end of each chapter. Science education researchers, both beginning and experienced, may use this book as a reference for locating available and developing new measurement instruments when conducting a research study.