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Small-Sample Equating With Prior Information

Author(s):
Livingston, Samuel A.; Lewis, Charles
Publication Year:
2009
Report Number:
RR-09-25
Source:
ETS Research Report
Document Type:
Report
Page Count:
14
Subject/Key Words:
Equating, Equipercentile Equating, Small Sample, Empirical Bayes Methods, Collateral Information

Abstract

This report proposes an empirical Bayes approach to the problem of equating scores on test forms taken by very small numbers of test takers. The equated score is estimated separately at each score point, making it unnecessary to model either the score distribution or the equating transformation. Prior information comes from equatings of other test forms, with an appropriate adjustment for possible differences in test length.

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