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An Odds Ratio Approach for Detecting DDF Under the Nested Logit Modeling Framework
Author(s) -
Terzi Ragip,
Suh Youngsuk
Publication year - 2015
Publication title -
journal of educational measurement
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.917
H-Index - 47
eISSN - 1745-3984
pISSN - 0022-0655
DOI - 10.1111/jedm.12091
Subject(s) - odds , nested logit , logistic regression , logit , odds ratio , statistics , computer science , interpretation (philosophy) , differential (mechanical device) , econometrics , nested set model , test (biology) , mathematics , data mining , engineering , paleontology , relational database , biology , programming language , aerospace engineering
An odds ratio approach (ORA) under the framework of a nested logit model was proposed for evaluating differential distractor functioning (DDF) in multiple‐choice items and was compared with an existing ORA developed under the nominal response model. The performances of the two ORAs for detecting DDF were investigated through an extensive simulation study. The impact of model misfit on the performance of each ORA was also examined. To facilitate practical interpretation of each method, effect size measures were obtained and compared. Finally, data from a college‐level mathematics placement test were analyzed using the two approaches.