Assessing Unidimensionality of Test Items and Some Asymptotics of Parametric Item Response Theory
Froelich, Amy Goodwin
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https://hdl.handle.net/2142/87420
Description
Title
Assessing Unidimensionality of Test Items and Some Asymptotics of Parametric Item Response Theory
Author(s)
Froelich, Amy Goodwin
Issue Date
2000
Doctoral Committee Chair(s)
William Stout
Department of Study
Statistics
Discipline
Statistics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Psychology, Psychometrics
Language
eng
Abstract
Using results from He & Shao (2000), a proof of the consistency and asymptotic normality of item parameter estimates obtained from the Marginal Maximum Likelihood Estimation (Bock & Lieberman, 1970) procedure as both the number of examinees and the number of items tends to infinity is presented. The proof depends upon fairly general regularity conditions on the model and on the growth of the number of items relative to the number of examinees.
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