Cluster Analysis of Angular Data in Applications of Multidimensional Item-Response Theory.

Miller, Timothy R.; Hirsch, Thomas M.

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Peer reviewed

ERIC Number: EJ461969

Record Type: Journal

Publication Date: 1992

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ISSN: ISSN-0895-7347

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Cluster Analysis of Angular Data in Applications of Multidimensional Item-Response Theory.

Miller, Timothy R.; Hirsch, Thomas M.

Applied Measurement in Education, v5 n3 p193-211 1992

A procedure for interpreting multiple-discrimination indices from a multidimensional item-response theory analysis is described and demonstrated with responses of 1,635 high school students to a multiple-choice test. The procedure consists of converting discrimination parameter estimates to direction cosines and analyzing the angular distances between item vectors. (SLD)

Descriptors: Ability, Cluster Analysis, Comparative Analysis, Estimation (Mathematics), Factor Analysis, High School Students, High Schools, Item Response Theory, Mathematical Models, Multidimensional Scaling, Multiple Choice Tests, Test Items, Vectors (Mathematics)

Publication Type: Reports - Evaluative; Journal Articles

Education Level: N/A

Audience: N/A

Language: English

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