Chapter
1.1 Objectives of Diagnostic Measurement
1.2 Diagnostic Measurement with DCMs
1.3 Selecting versus Constructing DCMs
1.4 The Role of DCMs in Diagnostic Assessment Design and Implementation
Part I. THEORY: PRINCIPLES OF DIAGNOSTIC MEASUREMENT WITH DCMs
Chapter 2. Implementation, Design, and Validation of Diagnostic Assessments
2.1 Diagnostic Assessment in Education
2.2 The Process Character of Diagnostic Assessment Implementations
2.3 Frameworks for Principled Design of Diagnostic Assessments
2.4 Frameworks for Validity Studies of Diagnostic Assessments
Chapter 3. Diagnostic Decision Making with DCMs
3.1 Diagnostic Characteristics of DCMs
3.2 Developing Diagnostic Rules
3.3 Contexts for Using DCMs
3.4 Reduction of Classification Error with DCMs
Chapter 4. Attribute Specification for DCMs
4.1 The Nature of Attributes
4.2 Attribute Hierarchies
4.3 Reporting Attribute Profiles
4.4 Developing Cognitive Processing Models
Part II. METHODS: PSYCHOMETRIC FOUNDATIONS OF DCMs
Chapter 5. The Statistical Nature of DCMs
5.1 DCMs and Other Latent-Variable Models
5.2 A Taxonomy of Core DCMs
5.3 Related Classification Approaches
5.4 Bayesian Inference Networks
Chapter 6. The Statistical Structure of Core DCMs
6.1 General Mathematical Structure of DCMs
Chapter 7. The LCDM Framework
7.1 A Brief Introduction to Log-Linear Models
7.2 Log-Linear Models with Latent Classes
7.3 Representing DCMs as Log-Linear Models with Latent Classes
7.4 The LCDM as a General DCM for Diagnostic Measurement
7.5 Representing Core DCMs with the LCDM
Chapter 8. Modeling the Attribute Space in DCMs
8.1 Structural Models in DCMs
8.2 Unstructured Structural Models
8.3 Log-Linear Structural Models
8.4 Unstructured Tetrachoric Models
8.5 Structured Tetrachoric Models
8.6 Summary of Parameter Complexity in Structural Models
8.7 Special Topics for Structural Models
Part III. APPLICATIONS: UTILIZING DCMs IN PRACTICE
Chapter 9. Estimating DCMs Using Mplus
9.2 Basic Concepts for Estimating DCMs in Mplus
9.3 Preliminary Command Syntax
9.4 Parameterizing Latent Class Models for Categorical Data in Mplus
9.5 Syntax for Estimating the LCDM in Mplus
9.6 Syntax for Specifying Output Information
9.7 Running Mplus and Interpreting Output
9.8 Estimation of Core DCMs in Mplus
9.9 Advanced Topics for Mplus Estimation
Chapter 10. Respondent Parameter Estimation in DCMs
10.1 Principles of Estimation Relevant for Attribute Profile Estimation
10.2 Estimating Attribute Profiles
10.3 Extended Examples of Attribute Profile Estimation
10.4 EAP versus MAP Estimation
10.5 The Impact of Prior Attribute Distributions on Posterior Attribute Profile Estimation
10.6 Standard Errors for Attribute Profile Estimates
10.7 Attribute Profile Estimation in Mplus
Chapter 11. Item Parameter Estimation in DCMs
11.1 Conceptual Underpinnings for Estimating Item Parameters
11.2 Estimation of Item Parameters Using the E-M Algorithm
11.3 Estimation of Item Parameter Using MCMC
Chapter 12. Evaluating the Model Fit of DCMs
12.1 Basic Statistical Principles for Constructing Fit Statistics
12.2 Problems with General Goodness-of-Fit Statistics for DCMs
12.3 Practical Approaches for Determining Goodness-of-Fit for DCMs
12.4 An Example of Goodness-of-Fit Evaluation
12.5 Evaluating Relative Model Fit
12.6 Evaluating Person Fit
Chapter 13. Item Discrimination Indices for DCMs
13.1 Basic Concepts for Item Discrimination Indices
13.2 Item Discrimination Indices for DCMs
13.3 Information-Based Item Discrimination Indices for DCMs
Chapter 14. Accommodating Complex Sampling Designs in DCMs
14.1 Defining Complex Sampling Designs
14.2 Accommodating Complex Sampling Designs of Respondents in DCMs
14.3 Accommodating Complex Sampling Designs of Items in DCMs
14.4 Accommodating Additional Sources of Heterogeneity in DCMs