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Statistical Approaches to Measurement Invariance [Mīkstie vāki]

(Arizona State University)
  • Formāts: Paperback / softback, 368 pages, height x width: 229x152 mm, weight: 680 g
  • Izdošanas datums: 12-Apr-2011
  • Izdevniecība: Routledge
  • ISBN-10: 1848728190
  • ISBN-13: 9781848728196
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  • Cena: 70,31 €
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  • Formāts: Paperback / softback, 368 pages, height x width: 229x152 mm, weight: 680 g
  • Izdošanas datums: 12-Apr-2011
  • Izdevniecība: Routledge
  • ISBN-10: 1848728190
  • ISBN-13: 9781848728196
Citas grāmatas par šo tēmu:

This book reviews the statistical procedures used to detect measurement bias. Measurement bias is examined from a general latent variable perspective so as to accommodate different forms of testing in a variety of contexts including cognitive or clinical variables, attitudes, personality dimensions, or emotional states. Measurement models that underlie psychometric practice are described, including their strengths and limitations. Practical strategies and examples for dealing with bias detection are provided throughout.

The book begins with an introduction to the general topic, followed by a review of the measurement models used in psychometric theory. Emphasis is placed on latent variable models, with introductions to classical test theory, factor analysis, and item response theory, and the controversies associated with each, being provided. Measurement invariance and bias in the context of multiple populations is defined in chapter 3 followed by chapter 4 that describes the common factor model for continuous measures in multiple populations and its use in the investigation of factorial invariance. Identification problems in confirmatory factor analysis are examined along with estimation and fit evaluation and an example using WAIS-R data. The factor analysis model for discrete measures in multiple populations with an emphasis on the specification, identification, estimation, and fit evaluation issues is addressed in the next chapter. An MMPI item data example is provided. Chapter 6 reviews both dichotomous and polytomous item response scales emphasizing estimation methods and model fit evaluation. The use of models in item response theory in evaluating invariance across multiple populations is then described, including an example that uses data from a large-scale achievement test. Chapter 8 examines item bias evaluation methods that use observed scores to match individuals and provides an example that applies item response theory to data introduced earlier in the book. The book concludes with the implications of measurement bias for the use of tests in prediction in educational or employment settings.

A valuable supplement for advanced courses on psychometrics, testing, measurement, assessment, latent variable modeling, and/or quantitative methods taught in departments of psychology and education, researchers faced with considering bias in measurement will also value this book.

Recenzijas

"Millsap provides extensive background, is technically rigorous, and illustrates the approaches with interesting psychological examples. The book is well written and deserves to become the classic reference in the field. ... [ The] book provides a broad and very thorough exposition of the most important topics associated with the statistical study of measurement invariance. It is a timely book on an important topic. ... The book is a must read for psychometricians and for researchers who compare test scores across groups. ... [ Readers] will be equipped with invaluable knowledge of the nature of group differences in psychological measurement." - Jelte Wicherts, Ph.D., University of Amsterdam, Netherlands, in PsycCRITIQUES

"Measurement invariance is a key concept in psychological assessment. Millsap has provided the most readable account yet of this difficult topic, combining clear prose, technical details, and compelling examples. A "must have" for quantitative expert and practicing scientist alike." Keith F. Widaman, University of California at Davis, USA

"Roger Millsap is a leading authority on the problem of measurement invariance and has written an extraordinary book on this critically important topic. This book is a "must read" by anyone working on the development of measurements for national and international surveys." David Kaplan, University of Wisconsin Madison, USA Member, OECD/PISA Questionnaire Expert Group

"This comprehensive treatment of measurement invariance is sure to become the standard reference work on the topic. With thorough coverage of observed and latent variable models for prediction and assessment, Millsap's book is packed with lucid discussions of the foundational role of measurement invariance in situations that require the comparison of measured attributes. All persons in the biobehavioral sciences and business who use test data when making decisions would benefit by reading this book." Niels Waller, University of Minnesota, USA

"A substantial contribution to the field, this book offers a comprehensive treatment of the statistical methods used to detect measurement bias. With an emphasis on latent variable models, it introduces us to many measurement perspectives and places the need for detecting bias into a larger societal context, one that attempts to foster social justice through accurate and unbiased measurement in the fields of psychology, education, and public policy. There is little doubt this book will become a classic in the field." Howard T. Everson, City University of New York, USA

Preface ix
Acknowledgments xi
1 Introduction 1(12)
What Is Measurement Invariance?
1(4)
Is Measurement Bias an Important Problem?
5(2)
About This Book
7(6)
2 Latent Variable Models 13(30)
General Features
13(3)
Model Restrictions
16(21)
Problems in Latent Variable Models
37(6)
3 Measurement Bias 43(30)
Multiple Populations
44(2)
Measurement Invariance
46(7)
Dimensionality and Invariance
53(5)
Conditioning on Observed Scores
58(10)
Appendix
68(5)
4 The Factor Model and Factorial Invariance 73(48)
The Common Factor Model in Multiple Populations
74(4)
Identification
78(10)
Estimation
88(5)
Fit Evaluation
93(9)
Invariance Constraints
102(7)
An Example
109(4)
Appendix: Factorial Invariance and Selection
113(8)
5 Factor Analysis in Discrete Data 121(26)
The Factor Model
122(9)
Estimation
131(5)
Tests of Invariance
136(5)
An Example
141(6)
6 Item Response Theory: Models, Estimation, Fit Evaluation 147(44)
Models
148(13)
Estimation
161(7)
Model Fit Evaluation
168(23)
7 Item Response Theory: Tests of Invariance 191(42)
Forms of Bias
192(1)
Likelihood-Ratio Tests
193(8)
Wald Statistics
201(8)
Parameter Linkage
209(6)
Effect Size Measures
215(8)
The DFIT Approach
223(5)
An Example
228(5)
8 Observed Variable Methods 233(48)
Dichotomous Item Methods
234(23)
Polytomous Item Methods
257(7)
Random Effects Models
264(4)
SIBTEST
268(9)
An Example
277(4)
9 Bias in Measurement and Prediction 281(24)
Predictive Bias
282(3)
Prediction Within the Factor Analysis Model
285(13)
General Latent Variable Models
298(2)
Conclusion
300(5)
References 305(32)
Author Index 337(8)
Subject Index 345
Roger E. Millsap is a Professor in the Department of Psychology and a faculty member in the Doctoral Program in Quantitative Psychology at Arizona State University. He received his Ph.D. in Psychology in 1983 from the University of California-Berkeley. Dr. Millsaps research interests include psychometrics, latent variable models, and multivariate statistics. He has published more than 60 papers in professional journals and co-edited the Sage Handbook of Quantitative Methods in Psychology with Alberto Maydeu-Olivares in 2009. Dr. Millsap is a Past-President of the Psychometric Society, of Division 5 of the American Psychological Association, and of the Society of Multivariate Experimental Psychology. He is a Past Editor of Multivariate Behavioral Research and is the current Executive Editor of Psychometrika.