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ERIC Number: EJ863074
Record Type: Journal
Publication Date: 2009-Dec
Pages: 33
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0033-3123
Cluster Analysis for Cognitive Diagnosis: Theory and Applications
Chiu, Chia-Yi; Douglas, Jeffrey A.; Li, Xiaodong
Psychometrika, v74 n4 p633-665 Dec 2009
Latent class models for cognitive diagnosis often begin with specification of a matrix that indicates which attributes or skills are needed for each item. Then by imposing restrictions that take this into account, along with a theory governing how subjects interact with items, parametric formulations of item response functions are derived and fitted. Cluster analysis provides an alternative approach that does not require specifying an item response model, but does require an item-by-attribute matrix. After summarizing the data with a particular vector of sum-scores, "K"-means cluster analysis or hierarchical agglomerative cluster analysis can be applied with the purpose of clustering subjects who possess the same skills. Asymptotic classification accuracy results are given, along with simulations comparing effects of test length and method of clustering. An application to a language examination is provided to illustrate how the methods can be implemented in practice.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A