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Multivariate Variance Component Analysis: An Application in Test Development IRT

Author(s):
Longford, Nicholas T.
Publication Year:
1989
Report Number:
RR-89-48, PSRTR-89-91
Source:
ETS Research Report
Document Type:
Report
Page Count:
45
Subject/Key Words:
College Entrance Examinations, Item Response Theory (IRT), Multivariate Analysis, Test Construction

Abstract

A multilevel variance component analysis of data from the pilot year of pretesting of an educational test is presented. The multilevel nature of the data is induced by the clustering of students within colleges, and by having multi- variate observations (scores) on students. The presence of a multidimensional trait underlying the scores is formulated as a hypothesis about the full rank of a variance matrix. (45pp.)

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