University of Illinois Urbana-Champaign

Kullback-Leibler information and its applications in multidimensional adaptive testing

Wang, Chun

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Wang_Chun.pdf

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https://hdl.handle.net/2142/30910

Description

Title
Kullback-Leibler information and its applications in multidimensional adaptive testing
Author(s)
Wang, Chun
Issue Date
2012-05-22T00:14:36Z
Director of Research (if dissertation) or Advisor (if thesis)
Chang, Hua-Hua
Committee Member(s)
Douglas, Jeffrey A.
Department of Study
Psychology
Discipline
Psychology
Degree Granting Institution
University of Illinois at Urbana-Champaign
Degree Name
M.A.
Degree Level
Thesis
Date of Ingest
2012-05-22T00:14:36Z
Keyword(s)
  • Kullback-Leibler information
  • Fisher information
  • multi-dimensional adaptive testing
Abstract
This paper first discusses the relationship between Kullback-Leibler information (KL) and Fisher information in the context of multi-dimensional item response theory and is further interpreted for the two-dimensional case, from a geometric perspective. This explication should allow for a better understanding of the various item selection methods in multi-dimensional adaptive tests (MAT) which are based on these two information measures. The KL information index (KI) method is then discussed and two theorems are derived to quantify the relationship between KI and item parameters. Due to the fact that most of the existing item selection algorithms for MAT bear severe computational complexity, which substantially lowers the applicability of MAT, two versions of simplified KL index (SKI), built from the analytical results, are proposed to mimic the behavior of KI, while reducing the overall computational intensity.
Graduation Semester
2012-05
Permalink
http://hdl.handle.net/2142/30910
Copyright and License Information
Copyright 2012 Chun Wang

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