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Confidence Bands for the Three-Parameter Logistic Item Response Curve IRT

Author(s):
Lord, Frederic M.; Pashley, Peter J.
Publication Year:
1988
Report Number:
RR-88-67
Source:
ETS Research Report
Document Type:
Report
Page Count:
22
Subject/Key Words:
Item Response Theory (IRT), Maximum Likelihood Statistics, Statistics

Abstract

A large sample method for obtaining asymptotic simultaneous confidence bands for a three-parameter logistic response curve is described. A procedure is given which requires as input maximum likelihood parameter estimates and an asymptotic error covariance matrix. Illustrative plots of item response curves with corresponding confidence bands are presented. (22pp.)

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