Invariant Measurement
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Invariant Measurement
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Author : George Engelhard, Jr.
language : en
Publisher: Routledge
Release Date : 2013-05-07
Invariant Measurement written by George Engelhard, Jr. and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-07 with Psychology categories.
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scales using invariant measurement A history of measurement based on test-score and scaling traditions Previously unpublished work in analyzing rating data, the detection and measurement of rater errors, and the evaluation of rater accuracy A review of estimation methods, model-data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.
Invariant Measurement With Raters And Rating Scales
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Author : George Engelhard Jr.
language : en
Publisher: Routledge
Release Date : 2017-12-15
Invariant Measurement With Raters And Rating Scales written by George Engelhard Jr. and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-15 with Business & Economics categories.
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.
Measurement Invariance
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Author : Rens Van De Schoot
language : en
Publisher: Frontiers Media SA
Release Date : 2015-10-05
Measurement Invariance written by Rens Van De Schoot and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-10-05 with Psychology categories.
Multi-item surveys are frequently used to study scores on latent factors, like human values, attitudes and behavior. Such studies often include a comparison, between specific groups of individuals, either at one or multiple points in time. If such latent factor means are to be meaningfully compared, the measurement structures including the latent factor and their survey items should be stable across groups and/or over time, that is ‘invariant’. Recent developments in statistics have provided new analytical tools for assessing measurement invariance (MI). The aim of this special issue is to provide a forum for a discussion of MI, covering some crucial ‘themes’: (1) ways to assess and deal with measurement non-invariance; (2) Bayesian and IRT methods employing the concept of approximate measurement invariance; and (3) new or adjusted approaches for testing MI to fit increasingly complex statistical models and specific characteristics of survey data. The special issue started with a kick-off meeting where all potential contributors shared ideas on potential papers. This expert workshop was organized at Utrecht University in The Netherlands and was funded by the Netherlands Organization for Scientific Research (NWO-VENI-451-11-008). After the kick-off meeting the authors submitted their papers, all of which were reviewed by experts in the field. The papers in the eBook are listed in alphabetical order, but in the editorial the papers are introduced thematically. Although it is impossible to cover all areas of relevant research in the field of MI, papers in this eBook provide insight on important aspects of measurement invariance. We hope that the discussions included in this special issue will stimulate further research on MI and facilitate further discussions to support the understanding of the role of MI in multi-item surveys.
Invariant Measures
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Author : John Von Neumann
language : en
Publisher: American Mathematical Soc.
Release Date : 1941
Invariant Measures written by John Von Neumann and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1941 with Mathematics categories.
This is a heretofore unpublished set of lecture notes by the late John von Neumann on invariant measures, including Haar measures on locally compact groups. The notes for the first half of the book have been prepared by Paul Halmos. The second half of the book includes a discussion of Kakutani's very interesting approach to invariant measures.
Rasch Models For Solving Measurement Problems
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Author : George Engelhard, Jr.
language : en
Publisher: SAGE Publications
Release Date : 2020-12-13
Rasch Models For Solving Measurement Problems written by George Engelhard, Jr. and has been published by SAGE Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-13 with Social Science categories.
This book introduces current perspectives on Rasch measurement theory with an emphasis on developing Rasch-based scales. Rasch measurement theory represents a paradigm shift in measurement theory away from classical test theory and creates a framework for scaling that can yield invariant measurement. Rasch Models for Solving Measurement Problems: Invariant Measurement in the Social Sciences is a broadly accessible text. Authors George Engelhard Jr and Jue Wang introduce Rasch measurement theory step by step, with chapters on scale construction, evaluation, maintenance, and use. Points are illustrated and techniques are demonstrated through an extended example: The Food Insecurity Experience (FIE) Scale. The Rasch analyses in the book are run using the Facets computer program. Facets syntax, and R code for the ERMA program created by the authors to obtain parameter estimates and to examine model-data fit, together with sample data sets are all available on a website for the book.
The History Of Educational Measurement
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Author : Brian E. Clauser
language : en
Publisher: Routledge
Release Date : 2021-07-07
The History Of Educational Measurement written by Brian E. Clauser and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-07-07 with Education categories.
The History of Educational Measurement collects essays on the most important topics in educational testing, measurement, and psychometrics. Authored by the field’s top scholars, this book offers unique historical viewpoints, from origins to modern applications, of formal testing programs and mental measurement theories. Topics as varied as large-scale testing, validity, item-response theory, federal involvement, and notable assessment controversies complete a survey of the field’s greatest challenges and most important achievements. Graduate students, researchers, industry professionals, and other stakeholders will find this volume relevant for years to come.
Psychological And Social Measurement
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Author : Mark Wilson
language : en
Publisher: Springer
Release Date : 2017-12-22
Psychological And Social Measurement written by Mark Wilson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-22 with Psychology categories.
In this tribute to Benjamin Wright, former students and colleagues recall the foundational contributions he made to the theory and practice of measurement in a career spanning over five decades. Wright is recognized as the foremost proponent of the psychometric approach of Georg Rasch, a Danish mathematician, whose ideas continue to provoke controversy. Wright’s colleagues and students, and students of their students, are leaders in educational research and practice around the world. This volume relates the extent of Wright’s influence far beyond education and psychology, where his work in measurement began, into health care and the social sciences at large. The editors and contributors—all leading measurement scholars—trace the development of themes in Wright’s work, identifying the roots of today’s formative assessment methods, the integration of quantitative and qualitative data, and the contrast between scientific and statistical methods. These previously unpublished papers reflect on Wright’s lifelong passion for making measurement both more scientific and more meaningful. They recount how Wright’s insight, energy, and gregarious nature led him to produce multiple innovations in computing, estimation methods, model development, fit assessment, and reliability theory, stimulating practical applications in dozens of fields, serving on over 120 dissertation committees, and founding several professional societies. The volume includes three reprinted articles by Wright that provide insights into his early engagement with Rasch’s ideas. Psychological and Social Measurement will be welcomed by the broad international measurement community of professionals and researchers working in such diverse fields as education, psychology, health sciences, management, and metrology. Scientists working in any field involving measurement science and technology will appreciate an inside look at this seminal figure and a new perspective on the expanding conversation across the sciences about measurement and the communication of meaningful, transparent information.
Transformation Groups And Invariant Measures
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Author : A. B. Kharazishvili
language : en
Publisher: World Scientific
Release Date : 1998
Transformation Groups And Invariant Measures written by A. B. Kharazishvili and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
This book is devoted to some topics of the general theory of invariant and quasi-invariant measures. Such measures are usually defined on various sigma-algebras of subsets of spaces equipped with transformation groups, and there are close relationships between purely algebraic properties of these groups and the corresponding properties of invariant (quasi-invariant) measures. The main goal of the book is to investigate several aspects of those relationships (primarily from the set-theoretical point of view). Also of interest are the properties of some natural classes of sets, important from the viewpoint of the theory of invariant (quasi-invariant) measures.
Invariant Measures On Groups And Their Use In Statistics
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Author : Robert A. Wijsman
language : en
Publisher: IMS
Release Date : 1990
Invariant Measures On Groups And Their Use In Statistics written by Robert A. Wijsman and has been published by IMS this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Invariant Measures For Stochastic Nonlinear Schr Dinger Equations
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Author : Jialin Hong
language : en
Publisher: Springer Nature
Release Date : 2019-08-22
Invariant Measures For Stochastic Nonlinear Schr Dinger Equations written by Jialin Hong and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08-22 with Mathematics categories.
This book provides some recent advance in the study of stochastic nonlinear Schrödinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity. It gives an accessible overview of the existence and uniqueness of invariant measures for stochastic differential equations, introduces geometric structures including symplecticity and (conformal) multi-symplecticity for nonlinear Schrödinger equations and their numerical approximations, and studies the properties and convergence errors of numerical methods for stochastic nonlinear Schrödinger equations. This book will appeal to researchers who are interested in numerical analysis, stochastic analysis, ergodic theory, partial differential equation theory, etc.