Ability Estimation Under Different Item Parameterization and Scoring Models Page: iii
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TABLE OF CONTENTS
Page
A CK N O W LED G M EN TS .............................................................................................. ii
L IST O F T A B L E S ........................................................................................................... vi
L IST O F FIG U R E S ......................................................................................................... vii
Chapter
1. IN TR O D U C TIO N ......................................................................................... 1
Overview
Statement of the Problem
Rationale for the Study
Item Parameterization and Scoring Models
Ability Distributions
Threshold Distances
Research Questions
Delimitation
Definition of Terminology
2. REVIEW OF RELATED LITERATURE ..................................................... 12
Overview
Item Parameterization: Basis for Family of IRT Models
One-, Two- and Three-Parameter IRT Models
Normal ogive models
Logistic models
Summary
Effects of Scoring: Polytomous IRT Models
Bock's Nominal Categories Model (NCM)
Polytomous IRT Models with Ordinal Response Categories
Ordinal polytomous IRT models compared in this study
Partial credit model (PCM)
Generalized partial credit model (GPCM)
Multiple-choice model
Summary
Ability Estimation
Maximum Likelihood method
Joint Maximum Likelihood Estimation (JML)
Conditional Maximum Likelihood Estimation (CML)iii
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Si, Ching-Fung B. Ability Estimation Under Different Item Parameterization and Scoring Models, dissertation, May 2002; Denton, Texas. (https://digital.library.unt.edu/ark:/67531/metadc3116/m1/4/: accessed July 18, 2024), University of North Texas Libraries, UNT Digital Library, https://digital.library.unt.edu; .