George Engelhard, Jr. is a professor of educational measurement and policy in the Division of Educational Studies at Emory University.  Professor Engelhard received his Ph.D. from The University of Chicago in the MESA (measurement, evaluation, and statistical analysis) program.  Professor Engelhard is co-editor of four books, and the author or co-author of over 125 journal articles, book chapters, and monographs. He serves on national technical advisory committees on educational measurement and policy for several states including Georgia, Louisiana, Michigan, New Jersey, Ohio, Pennsylvania, and Washington. He is a past president of the Georgia Educational Research Association.  Professor Engelhard has received numerous awards and fellowships including a National Academy of Education/Spencer Foundation Fellowship Award, a Lilly Post-Doctoral Teaching Award, and a Writing Across the Curriculum Project Award.  He is a fellow of the American Educational Research Association.

• Part I. Introduction 1. Introduction and overview. Part II. Conceptual and theoretical issues. 2. Invariant measurement. 3. Rasch models. 4. Researcher-Constructed Measures. 5. An Historical and Comparative Perspective on Research Traditions in Measurement. 6. The Quest for Invariant Measurement within the Scaling Tradition. Part III. Technical Issues. 7. Methods of Estimation for the Dichotomous Rasch Model. 8. Model-Data Fit for the Dichotomous Rasch Model. Part IV: Assessments with raters: Rater-invariant measurement. 9. Rater-mediated assessments: Conceptual framework. 10. Evaluating the quality of rater-mediated assessments I: Indices of rater errors and systematic biases. 11. Evaluating the quality of rater-mediated assessments II: Indices of rater accuracy. Part V: Final Word.

Winner of 2015 Qiyas Award"Invariant Measurement fills a much needed void in the library of Rasch measurement books. This book is a favorite among Rasch measurement enthusiasts for many reasons, not the least of which is the authors’ use of practical language coupled with a consistent tone. Invariant Measurement, however, is sure to be another favorite in the Rasch measurement anthology as its crisp, clear writing and practical approach will be easily digestible for both measurement experts and curious students alike." - Kenneth D. Royal, University of North Carolina at Chapel Hill"Professor Engelhard Jr. has long been one of the strongest and most respected and thoughtful measurement specialists in our field. His book on measurement invariance in the social sciences brings great clarity for practitioners to what many have called the cornerstone of item response theory." - Ronald K. Hambleton, Distinguished University Professor, University of Massachusetts - Amherst, USA"Measurement is fundamental to any scientific research but unless the measures are valid and dependable, the research will be misleading and futile. This book is a must-read for every serious researcher who needs to construct quality measures. It gives a thorough treatment on both the concepts and the methodology of Rasch measurement." - Magdalena M. C. Mok, The Hong Kong Institute of Education, China"George Engelhard is one of the world’s premier theorists on invariant measurement. … This will be a useful textbook for a graduate course on item response theory as well as a good desk reference for many psychometric researchers and practitioners." -Richard M. Luecht, University of North Carolina – Greensboro, USA"I found each chapter easy to read and follow. ... [It] includes more authentic examples and supplements which ... make it (in my opinion) more accessible for graduate students." – Jennifer Randall, University of Massachusetts – Amherst, USA"The conversational tone makes the book … more engaging – as if one were having a conversation with the author. ... I believe readers (particularly graduate students) will find the text engaging." - RJ DeAyala, University of Nebraska- Lincoln, USA"The project makes a significant contribution to the field of measurement. I know of no other resource that has as their focus the basic concepts and principles of invariant measurement. …I …see this book as useful in introduction to Rasch measurement courses." – Carol Myford, University of Illinois at Chicago, USA

George Engelhard, Jr. is a professor of educational measurement and policy in the Division of Educational Studies at Emory University.  Professor Engelhard received his Ph.D. from The University of Chicago in the MESA (measurement, evaluation, and statistical analysis) program.  Professor Engelhard is co-editor of four books, and the author or co-author of over 125 journal articles, book chapters, and monographs. He serves on national technical advisory committees on educational measurement and policy for several states including Georgia, Louisiana, Michigan, New Jersey, Ohio, Pennsylvania, and Washington. He is a past president of the Georgia Educational Research Association.  Professor Engelhard has received numerous awards and fellowships including a National Academy of Education/Spencer Foundation Fellowship Award, a Lilly Post-Doctoral Teaching Award, and a Writing Across the Curriculum Project Award.  He is a fellow of the American Educational Research Association.

• Part I. Introduction 1. Introduction and overview. Part II. Conceptual and theoretical issues. 2. Invariant measurement. 3. Rasch models. 4. Researcher-Constructed Measures. 5. An Historical and Comparative Perspective on Research Traditions in Measurement. 6. The Quest for Invariant Measurement within the Scaling Tradition. Part III. Technical Issues. 7. Methods of Estimation for the Dichotomous Rasch Model. 8. Model-Data Fit for the Dichotomous Rasch Model. Part IV: Assessments with raters: Rater-invariant measurement. 9. Rater-mediated assessments: Conceptual framework. 10. Evaluating the quality of rater-mediated assessments I: Indices of rater errors and systematic biases. 11. Evaluating the quality of rater-mediated assessments II: Indices of rater accuracy. Part V: Final Word.

Winner of 2015 Qiyas Award"Invariant Measurement fills a much needed void in the library of Rasch measurement books. This book is a favorite among Rasch measurement enthusiasts for many reasons, not the least of which is the authors’ use of practical language coupled with a consistent tone. Invariant Measurement, however, is sure to be another favorite in the Rasch measurement anthology as its crisp, clear writing and practical approach will be easily digestible for both measurement experts and curious students alike." - Kenneth D. Royal, University of North Carolina at Chapel Hill"Professor Engelhard Jr. has long been one of the strongest and most respected and thoughtful measurement specialists in our field. His book on measurement invariance in the social sciences brings great clarity for practitioners to what many have called the cornerstone of item response theory." - Ronald K. Hambleton, Distinguished University Professor, University of Massachusetts - Amherst, USA"Measurement is fundamental to any scientific research but unless the measures are valid and dependable, the research will be misleading and futile. This book is a must-read for every serious researcher who needs to construct quality measures. It gives a thorough treatment on both the concepts and the methodology of Rasch measurement." - Magdalena M. C. Mok, The Hong Kong Institute of Education, China"George Engelhard is one of the world’s premier theorists on invariant measurement. … This will be a useful textbook for a graduate course on item response theory as well as a good desk reference for many psychometric researchers and practitioners." -Richard M. Luecht, University of North Carolina – Greensboro, USA"I found each chapter easy to read and follow. ... [It] includes more authentic examples and supplements which ... make it (in my opinion) more accessible for graduate students." – Jennifer Randall, University of Massachusetts – Amherst, USA"The conversational tone makes the book … more engaging – as if one were having a conversation with the author. ... I believe readers (particularly graduate students) will find the text engaging." - RJ DeAyala, University of Nebraska- Lincoln, USA"The project makes a significant contribution to the field of measurement. I know of no other resource that has as their focus the basic concepts and principles of invariant measurement. …I …see this book as useful in introduction to Rasch measurement courses." – Carol Myford, University of Illinois at Chicago, USA

George Engelhard, Jr. is a professor of educational measurement and policy in the Division of Educational Studies at Emory University.  Professor Engelhard received his Ph.D. from The University of Chicago in the MESA (measurement, evaluation, and statistical analysis) program.  Professor Engelhard is co-editor of four books, and the author or co-author of over 125 journal articles, book chapters, and monographs. He serves on national technical advisory committees on educational measurement and policy for several states including Georgia, Louisiana, Michigan, New Jersey, Ohio, Pennsylvania, and Washington. He is a past president of the Georgia Educational Research Association.  Professor Engelhard has received numerous awards and fellowships including a National Academy of Education/Spencer Foundation Fellowship Award, a Lilly Post-Doctoral Teaching Award, and a Writing Across the Curriculum Project Award.  He is a fellow of the American Educational Research Association.

• Part I. Introduction 1. Introduction and overview. Part II. Conceptual and theoretical issues. 2. Invariant measurement. 3. Rasch models. 4. Researcher-Constructed Measures. 5. An Historical and Comparative Perspective on Research Traditions in Measurement. 6. The Quest for Invariant Measurement within the Scaling Tradition. Part III. Technical Issues. 7. Methods of Estimation for the Dichotomous Rasch Model. 8. Model-Data Fit for the Dichotomous Rasch Model. Part IV: Assessments with raters: Rater-invariant measurement. 9. Rater-mediated assessments: Conceptual framework. 10. Evaluating the quality of rater-mediated assessments I: Indices of rater errors and systematic biases. 11. Evaluating the quality of rater-mediated assessments II: Indices of rater accuracy. Part V: Final Word.

Winner of 2015 Qiyas Award"Invariant Measurement fills a much needed void in the library of Rasch measurement books. This book is a favorite among Rasch measurement enthusiasts for many reasons, not the least of which is the authors’ use of practical language coupled with a consistent tone. Invariant Measurement, however, is sure to be another favorite in the Rasch measurement anthology as its crisp, clear writing and practical approach will be easily digestible for both measurement experts and curious students alike." - Kenneth D. Royal, University of North Carolina at Chapel Hill"Professor Engelhard Jr. has long been one of the strongest and most respected and thoughtful measurement specialists in our field. His book on measurement invariance in the social sciences brings great clarity for practitioners to what many have called the cornerstone of item response theory." - Ronald K. Hambleton, Distinguished University Professor, University of Massachusetts - Amherst, USA"Measurement is fundamental to any scientific research but unless the measures are valid and dependable, the research will be misleading and futile. This book is a must-read for every serious researcher who needs to construct quality measures. It gives a thorough treatment on both the concepts and the methodology of Rasch measurement." - Magdalena M. C. Mok, The Hong Kong Institute of Education, China"George Engelhard is one of the world’s premier theorists on invariant measurement. … This will be a useful textbook for a graduate course on item response theory as well as a good desk reference for many psychometric researchers and practitioners." -Richard M. Luecht, University of North Carolina – Greensboro, USA"I found each chapter easy to read and follow. ... [It] includes more authentic examples and supplements which ... make it (in my opinion) more accessible for graduate students." – Jennifer Randall, University of Massachusetts – Amherst, USA"The conversational tone makes the book … more engaging – as if one were having a conversation with the author. ... I believe readers (particularly graduate students) will find the text engaging." - RJ DeAyala, University of Nebraska- Lincoln, USA"The project makes a significant contribution to the field of measurement. I know of no other resource that has as their focus the basic concepts and principles of invariant measurement. …I …see this book as useful in introduction to Rasch measurement courses." – Carol Myford, University of Illinois at Chicago, USA