ERIC Number: EJ1213899
Record Type: Journal
Publication Date: 2017
Pages: 7
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-2336-2375
EISSN: N/A
Bayesian Diagnostics for Test Design and Analysis
Silva, R. M.; Guan, Y.; Swartz, T. B.
Journal on Efficiency and Responsibility in Education and Science, v10 n2 p44-50 2017
This paper attempts to bridge the gap between classical test theory and item response theory. It is demonstrated that the familiar and popular statistics used in classical test theory can be translated into a Bayesian framework where all of the advantages of the Bayesian paradigm can be realized. In particular, prior opinion can be introduced and inferences can be obtained using posterior distributions. In classical test theory, inferential decisions are based on the values of statistics that are calculated from the responses of subjects over various test questions. In the proposed approach, analogous "statistics" are constructed from the output of simulation from the posterior distribution. This leads to population-based inferences which focus on the properties of the test rather than the performance of specific subjects. The use of the JAGS [Just # Another Gibbs Sampler] programming language facilitates extensions to more complex scenarios involving the assessment of tests and questionnaires.
Descriptors: Item Response Theory, Bayesian Statistics, Test Construction, Markov Processes, Monte Carlo Methods, Statistical Inference, Statistical Distributions, Questionnaires, Programming Languages
Czech University of Life Sciences Prague. Czech University of Life Sciences Prague, Kamýcká 129, Prague 6 - Suchdol 165 00, Czech Republic. e-mail: editor@eriesjournal.com; Web site: https://www.eriesjournal.com/index.php/eries
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