Exploring Rating Scale Functioning for Survey Research

Cover
PRAISE FOR THIS BOOK
QUANTITATIVE APPLICATIONS IN THE SOCIAL SCIENCES
SERIES: QUANTITATIVE APPLICATIONS IN THE SOCIAL SCIENCES
Half Title Page
Title Page
Copyright Page
Content Page
Detailed Conents Page
SERIES EDITOR INTRODUCTION
ACKNOWLEDGMENTS
ABOUT THE AUTHOR
LIST OF ACRONYMS
ACCOMPANYING WEBSITE
Chapter 1. What Is Rating Scale Analysis?
	What Is Item Response Theory?
		IRT for Rating Scale Data
	What Is Rating Scale Analysis?
		How Is Rating Scale Analysis Different From Other Survey Analyses?
		What Are the Requirements for Rating Scale Analysis?
			Number of Rating Scale Categories
			Participant Sample Size
			Item Sample Size
			Missing Data
	How Should Researchers Select a Model for Rating Scale Analysis?
		What Can Be Learned From Rating Scale Analysis?
	What Will This Book Help Researchers Do With Their Data?
	Introduction to Example Data
	Resources for Further Study
Chapter 2. Rasch Models for Rating Scale Analysis
	What Is Rasch Measurement Theory?
		What Are Rasch Models?
		Polytomous Rasch Models for Rating Scale Analysis
		Why Are Polytomous Rasch Models Useful for Rating Scale Analysis?
	Rasch Models for Rating Scale Analysis
		Rating Scale Model (RSM)
		Application of the RSM to the CES-D Scale Data
		Preliminary Analysis: Model-Data Fit
			Unidimensionality: Proportion of Variance Explained by Model Estimates
			Local Independence: Correlations Among Item-Specific Residuals
			Item- and Person-Specific Fit Analysis
		Overall RSM Results
	Partial Credit Model (PCM)
		Application of the PCM to the CES-D Data
	Extending the Rating Scale and Partial Credit Models: The Many-Facet Rasch Model (MFRM)
		Application of the PC-MFRM to the CES-D Data
	Chapter Summary
Chapter 3. Illustration of Rating Scale Analysis With Polytomous Rasch Models
	Rating Scale Analysis With the Rating Scale Model
		Rating Scale Category Ordering
			Average Participant Locations Within Rating Scale Categories
			Logit-Scale Location Estimates of Rating Scale Category Thresholds
			Ordering of Category Probability Curves
		Rating Scale Category Precision
			Distance Between Threshold Location Estimates on the Logit Scale
			Distinct Category Probability Curves
			Model-Data Fit for Rating Scale Categories
		Rating Scale Category Comparability
	Rating Scale Analysis With the Partial Credit Model
		Category Ordering Indices
			Average Participant Locations Within Rating Scale Categories for Individual Items
			Logit-Scale Location Estimates of Rating Scale Category Thresholds for Individual Items
			Ordering of Category Probability Curves for Individual Items
		Rating Scale Category Precision
			Distance Between Rating Scale Category Threshold Location Estimates on the Logit Scale for Individual Items
			Distinct Rating Scale Category Probability Curves for Individual Items
			Graphical Model-Data Fit Displays for Categories for Individual Items
		Rating Scale Category Comparability
	Rating Scale Analyses With the Partial Credit Many-Facet Rasch Model
		Category Ordering Indices
			Average Participant Locations Within Rating Scale Categories for Levels of Explanatory Facet(s)
			Logit-Scale Location Estimates of Rating Scale Category Thresholds for Elements of Explanatory Facet(s)
			Ordering of Category Probability Curves for Levels of Explanatory Facet(s)
		Rating Scale Category Precision
			Distance Between Threshold Location Estimates on the Logit Scale for Levels of Explanatory Facet(s)
			Distinct Category Probability Curves
			Graphical Model-Data Fit Displays for Categories for Levels of Explanatory Facet(s)
	Chapter Summary
Chapter 4. Non-Rasch IRT Models for Rating Scale Analysis
	Rating Scale Analysis Using Polytomous IRT Models With Slope Parameters
		Generalized Partial Credit Model
			Illustration of Rating Scale Analysis With the Generalized Partial Credit Model
	Overall Model Results
	Rating Scale Category Ordering
		Average Participant Locations Within Rating Scale Categories
		Logit-Scale Location Estimates of Item-Specific Rating Scale Category Thresholds
		Ordering of Item-Specific Category Probability Curves
	Rating Scale Category Precision
		Distance Between Item-Specific Threshold Location Estimates on the Logit Scale
		Distinct Item-Specific Category Probability Curves
			Rating Scale Analysis Using Polytomous IRT Models With a Cumulative Probability Formulation
	Graded Response Model
		Illustration of Rating Scale Analysis With the Graded Response Model
	Overall Model Results
	Rating Scale Category Ordering
		Average Participant Locations Within Item-Specific Rating Scale Categories for Individual Items
	Rating Scale Category Precision
		Distance Between Rating Scale Category Threshold Estimates on the Logit Scale for Individual Items
		Plots of Cumulative Category Probabilities for Individual Items
		Plots of Individual Category Probabilities for Individual Items
	Chapter Summary
Chapter 5. Nonparametric Measurement Models for Rating Scale Analysis
	Mokken Scale Analysis
	Overview of Mokken Models for Rating Scale Data
		Polytomous Monotone Homogeneity Model
			Evaluating Monotonicity
			Evaluating Scalability
		Polytomous Double Monotonicity Model
			Evaluating Invariant Item Ordering
			Illustration of Rating Scale Analysis With Mokken Scale Analysis
	Rating Scale Category Ordering
		Average Participant Restscores Within Rating Scale Categories for Individual Items
		Counts of Item-Specific Violations of Category Monotonicity
		Graphical Displays of Cumulative Category Monotonicity for Individual Items
	Rating Scale Category Precision
		Distinct Cumulative Category Probabilities for Individual Items
		Discriminating Item-Specific Cumulative Category Probabilities
	Chapter Summary
Chapter 6. Summary and Resources for Further Study
	What Is Rating Scale Analysis?
	Summary of Previous Chapters
	How Should a Researcher Select a Model for Rating Scale Analysis?
		Overall Modeling Goals
		Practical Goals for Rating Scale Analysis
		Considerations Related to Audience
	Practical Takeaways: How Can a Researcher Use Results From Rating Scale Analysis?
		What Should I Do If My Scale Categories Are Disordered?
		What Should I Do If My Scale Categories Are Imprecise?
		How Do I Know If My Neutral Category Is Meaningful?
	Resources for Further Study
		Methodological Research on Rating Scale Analysis
		Examples of Applications of Rating Scale Analysis to Real Survey Data
Tables
Glossary
References
Index