ERIC Number: EJ1144206
Record Type: Journal
Publication Date: 2017
Pages: 15
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0895-7347
EISSN: N/A
Using the Bayes Factors to Evaluate Person Fit in the Item Response Theory
Pan, Tianshu; Yin, Yue
Applied Measurement in Education, v30 n3 p213-227 2017
In this article, we propose using the Bayes factors (BF) to evaluate person fit in item response theory models under the framework of Bayesian evaluation of an informative diagnostic hypothesis. We first discuss the theoretical foundation for this application and how to analyze person fit using BF. To demonstrate the feasibility of this approach, we further use it to evaluate person fit in simulated and empirical data, and compare the results with those of H[superscript T] and the infit and outfit statistics. We found that overall BF performed as well as H[superscript T] statistics and better than the infit and outfit statistics when detecting aberrant responses. Given the BF flexibility in handling data set with a small number of examinees, we suggest that BF can be used as person fit statistics, especially in computerized adaptive tests.
Descriptors: Bayesian Statistics, Goodness of Fit, Item Response Theory, Monte Carlo Methods, Hypothesis Testing, Data Analysis, Correlation, Probability, Scores, Equations (Mathematics)
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A