Standard Error of an Equating by Item Response Theory

Author:

1 September 1982

journal article
Published by SAGE Publications in Applied Psychological Measurement

Vol. 6 (4) , 463-472
DOI:10.1177/014662168200600407

Abstract

A formula is derived for the asymptotic standard error of a true-score equating by item response theory. The equating method is applicable when th two tests to be equated are administered to different groups along with an anchor test. Numerical standard errors are shown for an actual equating (1) comparing the standard errors of IRT, linear, e and equipercentile methods and (2) illustrating the effect of the length of the anchor test on the standard error of the equating.

Keywords

STATISTICAL TESTS
MATHEMATICAL FORMULAS
COMPARATIVE ANALYSIS
STOCHASTIC PROCESSES
ITEM RESPONSE THEORY
SAMPLING
STANDARD ERROR
LATENT TRAIT THEORY
PARAMETRIC ANALYSIS
MATHEMATICAL MODELS

This publication has 1 reference indexed in Scilit:

Automated Hypothesis Tests and Standard Errors for Nonstandard Problems
The American Statistician, 1975