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oai:www.ideals.illinois.edu:2142/30910 2023-07-10 col_2142_5131 col_2142_11614 com_2142_5130 com_2142_11613 com_2142_8903

Chang, Hua-Hua Douglas, Jeffrey A. Wang, Chun 2012-05-22T00:14:36Z 2012-05-22T00:14:36Z 2012-05 2012-05-22T00:14:36Z 2012-05 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. Item withdrawn by Katherine Eriksen (eriksen3@illinois.edu) on 2012-01-30T17:49:39Z Item was in collections: University of Illinois Theses & Dissertations (ID: 1) No. of bitstreams: 2 Chun_Wang.pdf: 1482757 bytes, checksum: f11148d7d2eba756abc85fe23513d857 (MD5) Wang_Chun.pdf: 1482757 bytes, checksum: f11148d7d2eba756abc85fe23513d857 (MD5) Made available in DSpace on 2012-05-22T00:14:36Z (GMT). No. of bitstreams: 2 Wang_Chun.pdf: 1482796 bytes, checksum: d05b00ead529ec3046df71caea8eb43f (MD5) license.txt: 4058 bytes, checksum: acd2b090a4dac252740ca98d9a9d3eb4 (MD5) http://hdl.handle.net/2142/30910 en Copyright 2012 Chun Wang Kullback-Leibler information Fisher information multi-dimensional adaptive testing Kullback-Leibler information and its applications in multidimensional adaptive testing text Psychology 1299 Psychology 0338 University of Illinois at Urbana-Champaign Thesis M.A. PHD:Psychology -UIUC 10KS0338PHD