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scales using invariant measurement A history of measurement based on test-score and scaling traditions Previously unpublished work in analyzing rating data, the detection and measurement of rater errors, and the evaluation of rater accuracy A review of estimation methods, model-data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.

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.

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.

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.

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 chapters in this new volume describe original research concerned with both theory and practice in measurement. The material originated in presentations made at a conference that brings together practicing professionals and theoreticians in diverse areas of measurement and related fields. The first group of papers embody the most important aspect of objective measurement - its application to diverse contexts and purposes. The examples included concentrate on two types of situations: performance assessment and criterion-referenced testing. The specific contexts range from writing assessment, to assessment of the professional development of teachers, to high school physics. The second group of papers are focused on an area of great importance in assessment today: the modeling of raters and judges in an assessment context. The volume concludes with papers that explore the domain of theory in measurement, characterized by an innovative approach to model-building. Even though they are categorized as theory papers, most are based on the complicated and interesting problems that arise in quite specific contexts. As such, they represent some of the most original and exciting developments in the field of measurement today ranging from multidimensional measurement to graph theory and clustering techniques. This volume presents original research concerned with the practice of measurement, and the theory of measurement. The words in the title, objective measurement indicate that the chapters are all related to a particular approach to the philosophy and practice of measurement. By objective measurement, we mean that, in a situation where a certain class of stimuli (for example, items) are used to measure certain individuals. The chapters in this book originated in presentations made at the International Objective Measurement Workshop (IOMW) devoted to exploring the interface between theory and practice in measurement. Based on the complicated and interesting problems that arise in quite specific contexts, they represent some of the most original and exciting developments in the field of measurement today.

The chapters in this new volume describe original research concerned with both theory and practice in measurement. The material originated in presentations made at a conference that brings together practicing professionals and theoreticians in diverse areas of measurement and related fields. The first group of papers embody the most important aspect of objective measurement - its application to diverse contexts and purposes. The examples included concentrate on two types of situations: performance assessment and criterion-referenced testing. The specific contexts range from writing assessment, to assessment of the professional development of teachers, to high school physics. The second group of papers are focused on an area of great importance in assessment today: the modeling of raters and judges in an assessment context. The volume concludes with papers that explore the domain of theory in measurement, characterized by an innovative approach to model-building. Even though they are categorized as theory papers, most are based on the complicated and interesting problems that arise in quite specific contexts. As such, they represent some of the most original and exciting developments in the field of measurement today ranging from multidimensional measurement to graph theory and clustering techniques. This volume presents original research concerned with the practice of measurement, and the theory of measurement. The words in the title, objective measurement indicate that the chapters are all related to a particular approach to the philosophy and practice of measurement. By objective measurement, we mean that, in a situation where a certain class of stimuli (for example, items) are used to measure certain individuals. The chapters in this book originated in presentations made at the International Objective Measurement Workshop (IOMW) devoted to exploring the interface between theory and practice in measurement. Based on the complicated and interesting problems that arise in quite specific contexts, they represent some of the most original and exciting developments in the field of measurement today.