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Index
Cover
Title
Copyright
Dedication
Contents
Foreword
Preface
About the Authors
1 Why Measurement Is Fundamental
Children Can Construct Measures
Statistics and/or Measurement
Why Fundamental Measurement?
Derived Measures
Conjoint Measurement
The Rasch Model for Measurement
A Suitable Analogy for Measurement in the Human Sciences
In Conclusion
Summary
2 Important Principles of Measurement Made Explicit
Moving From Observations to Measures
Summary
3 Basic Principles of the Rasch Model
The Pathway Analogy
A Basic Framework for Measurement
The Rasch Model
Summary
4 Building a Set of Items for Measurement
The Nature of the Data
Analyzing Dichotomous Data: The BLOT
A Simple Rasch Summary: The Item Pathway
Item Statistics
Item Fit
The Wright Map
Comparing Persons and Items
Summary
Extended Understanding—Chapter 4
The Problem of Guessing
Difficulty, Ability, and Fit
The Theory—Practice Dialogue
Summary
5 Invariance: A Crucial Property of Scientific Measurement
Person and Item Invariance
Common Item Linking
Anchoring Item Values
Common-Person Linking
Invariance of Person Estimates Across Tests: Concurrent Validity
The PRTIII-Pendulum
Common-Person Linking
The Theory–Practice Dialogue
Measurement Invariance: Where It Really Matters
Failures of Invariance: DIF
Summary
6 Measurement Using Likert Scales
The Rasch Model for Polytomous Data
Analyzing Rating Scale Data: The Children’s Empathic Attitudes Questionnaire
Summary
Extended Understanding—Chapter 6
Summary
7 The Partial Credit Rasch Model
Clinical Interview Analysis: A Rasch-Inspired Breakthrough
Scoring Interview Transcripts
Partial Credit Model Results
Interpretation
The Theory–Practice Dialogue
Unidimensionality
Summary
Extended Understanding—Chapter 7
Category Functioning
Point–Measure Correlations
Fit Statistics
Dimensionality: Primary Components Factor Analysis of the Rasch Residuals
Summary
8 Measuring Facets Beyond Ability and Difficulty
A Basic Introduction to the Many-Facets Rasch Model
Why Not Use Interrater Reliability?
Relations Among the Rasch Family of Models
Data Specifications of the Many-Facets Rasch Model
Rating Creativity of Junior Scientists
Many-Facets Analysis of Eighth-Grade Writing
Summary
Extended Understanding—Chapter 8
Invariance of Rated Creativity Scores
Rasch Measurement of Facets Beyond Rater Effects
Summary
9 Making Measures, Setting Standards, and Rasch Regression
Method
Physical Fitness Indicators
Data Analysis
Seven Criteria to Investigate the Quality of Physical Fitness Indicators
Results and Discussion
Optimizing Response Category
Influence of Underfitting Persons on the RMPFS
Properties of the RMPFS With Subsamples
Age Dependent or Age Related?
The Final Version of RMPFS
The Tradition of Standard Setting
The Objective Standard-Setting Model
Objective Standard Setting for Dichotomous Examinations
Objective Standard Setting for Judge-Mediated Examinations
Fair Standards
Airline Passenger Satisfaction Data
Rasch Regression Using the Anchored Formulation
Rasch Regression: Alternative Approaches
Discussion
Summary
10 The Rasch Model Applied Across the Human Sciences
Rasch Measurement in Health Sciences
Applications to Physical Therapy
Measuring Behavioral Change
Rasch Measures as Grist for the Analytical Mill
Demographic Variables in Student Satisfaction
Using Rasch Measures for Structural Equation Modeling
Conclusion
Summary
11 Rasch Modeling Applied: Rating Scale Design
Category Frequencies and Average Measures
Thresholds and Category Fit
Revising a Rating Scale
An Example
Guidelines for Collapsing Categories
Problems With Negatively Worded Items
The Invariance of the Measures Across Groups
Summary
12 Rasch Model Requirements: Model Fit and Unidimensionality
The Data, the Model, and the Residuals
Residuals
Fit Statistics
Expectations of Variation
Fit, Misfit, and Interpretation
Fit: Issues for Resolution
Misfit: A Fundamental Issue
In the Interim
Detecting Multiple Dimensions
Factor Analysis—Problems and Promise
Rasch Factor Analysis
Analysis of a Psychotherapy Measure—An Example
Principal Components Analysis of Rasch Residuals
Summary
13 A Synthetic Overview
Axiomatic Conjoint Measurement—ACM
True Score Theory, Latent Traits, and Item Response Theory
Would You Like an Interval Scale With That?
Model Assumptions and Measurement Requirements
Construct Validity
The Rasch Model and Progress of Science
Back to the Beginning and Back to the End
Summary
Appendix A: Getting Started
Appendix B: Technical Aspects of the Rasch Model
Glossary
Author Index
Subject Index
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