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Confidence Envelopes for Item Response Theory IRT

Author(s):
Thissen, David; Wainer, Howard
Publication Year:
1983
Report Number:
RR-83-25
Source:
ETS Research Report
Document Type:
Report
Page Count:
27
Subject/Key Words:
Item Response Theory (IRT), Mathematical Formulas, Probability, Regression (Statistics), Statistical Analysis

Abstract

A statistical method is described and illustrated which provides confidence envelopes around item response functions. Examples of 95 percent confidence envelopes for the one-, two-, and three-parameter logistic response models are given. In addition, the authors describe N-line plots, which show the genesis of the envelope as well as the density of lines in the confidence region. These too are illustrated for the one-, two-, and three-parameter logistic models. (Author). (29pp.)

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