Bayesian Diagnostics for Test Design and Analysis

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Bibliographic Details
Title: Bayesian Diagnostics for Test Design and Analysis
Language: English
Authors: Silva, R. M., Guan, Y., Swartz, T. B.
Source: Journal on Efficiency and Responsibility in Education and Science. 2017 10(2):44-50.
Availability: 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
Peer Reviewed: Y
Page Count: 7
Publication Date: 2017
Document Type: Journal Articles
Reports - Research
Descriptors: Item Response Theory, Bayesian Statistics, Test Construction, Markov Processes, Monte Carlo Methods, Statistical Inference, Statistical Distributions, Questionnaires, Programming Languages
ISSN: 2336-2375
Abstract: 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.
Abstractor: As Provided
Entry Date: 2019
Accession Number: EJ1213899
Database: ERIC
Description
Abstract: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.
ISSN:2336-2375