Open AccessSMALL‐SAMPLE EQUATING BY THE CIRCLE‐ARC METHOD
Author(s) -
Livingston Samuel A.,
Kim Sooyeon
Publication year - 2008
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.2333-8504.2008.tb02125.x
Subject(s) - equating , statistics , mathematics , transformation (genetics) , point (geometry) , econometrics , biochemistry , chemistry , geometry , rasch model , gene
This paper suggests two new, related methods for estimating a test‐score equating relationship from small samples of test takers. These methods do not require the estimated equating transformation to be linear. Instead, they constrain the estimated equating curve to pass through 2 prespecified end‐points and a middle point determined from the data. Some preliminary results indicate that these methods outperform mean equating and other methods used for equating in small samples.