Open AccessEXAMINING AN ALTERNATIVE TO SCORE EQUATING: A RANDOMLY EQUIVALENT FORMS APPROACH
Author(s) -
Liao ChiWen,
Livingston Samuel A.
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.tb02100.x
Subject(s) - equating , active listening , raw score , statistics , equivalence (formal languages) , mathematics , replication (statistics) , reading (process) , psychology , linguistics , raw data , communication , discrete mathematics , philosophy , rasch model
Randomly equivalent forms (REF) of tests in listening and reading for nonnative speakers of English were created by stratified random assignment of items to forms, stratifying on item content and predicted difficulty. The study included 50 replications of the procedure for each test. Each replication generated 2 REFs. The equivalence of those 2 forms was evaluated by comparing the raw‐score distributions focusing on the greatest difference in the cumulative distributions. For listening, 10 replications produced cumulative distributions that differed at some point by more than 0.10, and 4 replications produced differences greater than 0.15. For reading, only 3 replications produced differences greater than 0.10. The difference between the results for listening and reading reflects the greater variation, within strata, in the difficulty of the listening items. The REF procedure may become more effective if item difficulty can be predicted more accurately.