Open AccessSMALL‐SAMPLE EQUATING WITH PRIOR INFORMATION
Author(s) -
Livingston Samuel A.,
Lewis Charles
Publication year - 2009
Publication title -
ets research report series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 5
ISSN - 2330-8516
DOI - 10.1002/j.2333-8504.2009.tb02182.x
Subject(s) - equating , statistics , test (biology) , test score , bayes' theorem , mathematics , transformation (genetics) , point (geometry) , sample size determination , econometrics , bayesian probability , standardized test , paleontology , biochemistry , chemistry , geometry , gene , rasch model , biology
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.