Some Issues in Weak Local Independence in Item Response Theory
Habing, Brian Thomas
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https://hdl.handle.net/2142/87417
Description
Title
Some Issues in Weak Local Independence in Item Response Theory
Author(s)
Habing, Brian Thomas
Issue Date
1998
Doctoral Committee Chair(s)
Stout, William F.
Department of Study
Statistics
Discipline
Statistics
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
Ph.D.
Degree Level
Dissertation
Keyword(s)
Education, Educational Psychology
Language
eng
Abstract
A method of Pashley and Reese (in press) for simulating locally dependent data, whose item pair dependencies relate directly to local dependence assessment procedures is discussed. This method is extended to allow for the simulation of local dependence that varies in magnitude across the examinee ability levels. The parameter that Yen's (1984) Q3 statistic seeks to estimate is examined. The notion of the `best fit' latent trait is defined, and it is shown that an exam with only positive pairwise item dependencies violates the assumptions of a large class of exam models. Finally, theoretical probability is used to rigorously define the basic concepts of IRT, and is then applied to construct conditions under which the converse to a theorem of Reckase and Stout (1995) holds.
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