Kullback-Leibler information and its applications in multidimensional adaptive testing

Wang, Chun

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

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

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

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

Copyright and License Information

Copyright 2012 Chun Wang

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