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The Information Matrix in Latent-Variable Models IRT

Author(s):
Mislevy, Robert J.; Sheehan, Kathleen M.
Publication Year:
1988
Report Number:
RR-88-24-ONR
Source:
ETS Research Report
Document Type:
Report
Page Count:
39
Subject/Key Words:
Office of Naval Research, Armed Services Vocational Aptitude Battery., Item Response Theory (IRT), Mathematical Models, Matrices, Missing Data

Abstract

The information matrix for the parameters in a latent-variable model is bounded from above by the information that would obtain if the values of the latent variables could also be observed. The difference is the "missing information." This paper discusses the structure of the information matrix, and characterizes the degree to which missing information can be recovered by exploiting collateral variables for respondents. The results are illustrated with data from the Armed Services Vocational Aptitude Battery. (39pp.)

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