The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model

This research is based on obtaining equated scores by using covariates in the Bayesian nonparametric model. As covariates in the study, gender, mathematics self-efficacy scores, and common item scores were used. The distributions were obtained for all score groups. Hellinger Distance was calculate...

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Main Authors: Meltem YURTÇU, Hülya KELECİOĞLU, Edward L. BOONE
Format: Article
Language:English
Published: EPODDER 2021-06-01
Series:Journal of Measurement and Evaluation in Education and Psychology
Subjects:
Online Access:https://dergipark.org.tr/en/pub/epod/issue/63232/864744
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spelling doaj-4f00ea7c32d041cabdcb153734c82e072021-08-10T09:12:34ZengEPODDERJournal of Measurement and Evaluation in Education and Psychology1309-65751309-65752021-06-0112219221110.21031/epod.864744The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model Meltem YURTÇU0https://orcid.org/0000-0003-3303-5093Hülya KELECİOĞLU1https://orcid.org/0000-0002-0741-9934Edward L. BOONE2https://orcid.org/0000-0003-0755-6899Inonu University Hacettepe University Virginia Commonwealth UniversityThis research is based on obtaining equated scores by using covariates in the Bayesian nonparametric model. As covariates in the study, gender, mathematics self-efficacy scores, and common item scores were used. The distributions were obtained for all score groups. Hellinger Distance was calculated to obtain the distances between the distributions of equated scores by using covariates and the distribution of the target test scores. These distances were compared with the distributions of equated scores obtained from methods based on Item Response Theory. The study was conducted on Canadian and Italian samples of Programme for International Student Assessment (PISA) 2012. PARSCALE and IRTEQ were used for classical methods, and R was used for Bayesian nonparametric model. When gender, mathematics self-efficacy scores, and common item scores were used as covariates in the model, distance values of obtained equated scores to target test scores were close to each other, but their distributions were different. The closest distribution to target test scores was achieved when gender and mathematics self-efficacy scores were used together as covariates in the model, and the farthest distributions were obtained from item response theory methods. As a result of the research, it was determined that the model is more informative than the classical methods.https://dergipark.org.tr/en/pub/epod/issue/63232/864744test equatingbayesian nonparametric modelcovariatesequated scoresscore distribution
collection DOAJ
language English
format Article
sources DOAJ
author Meltem YURTÇU
Hülya KELECİOĞLU
Edward L. BOONE
spellingShingle Meltem YURTÇU
Hülya KELECİOĞLU
Edward L. BOONE
The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model
Journal of Measurement and Evaluation in Education and Psychology
test equating
bayesian nonparametric model
covariates
equated scores
score distribution
author_facet Meltem YURTÇU
Hülya KELECİOĞLU
Edward L. BOONE
author_sort Meltem YURTÇU
title The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model
title_short The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model
title_full The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model
title_fullStr The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model
title_full_unstemmed The Comparison of the Equated Tests Scores by Various Covariates using Bayesian Nonparametric Model
title_sort comparison of the equated tests scores by various covariates using bayesian nonparametric model
publisher EPODDER
series Journal of Measurement and Evaluation in Education and Psychology
issn 1309-6575
1309-6575
publishDate 2021-06-01
description This research is based on obtaining equated scores by using covariates in the Bayesian nonparametric model. As covariates in the study, gender, mathematics self-efficacy scores, and common item scores were used. The distributions were obtained for all score groups. Hellinger Distance was calculated to obtain the distances between the distributions of equated scores by using covariates and the distribution of the target test scores. These distances were compared with the distributions of equated scores obtained from methods based on Item Response Theory. The study was conducted on Canadian and Italian samples of Programme for International Student Assessment (PISA) 2012. PARSCALE and IRTEQ were used for classical methods, and R was used for Bayesian nonparametric model. When gender, mathematics self-efficacy scores, and common item scores were used as covariates in the model, distance values of obtained equated scores to target test scores were close to each other, but their distributions were different. The closest distribution to target test scores was achieved when gender and mathematics self-efficacy scores were used together as covariates in the model, and the farthest distributions were obtained from item response theory methods. As a result of the research, it was determined that the model is more informative than the classical methods.
topic test equating
bayesian nonparametric model
covariates
equated scores
score distribution
url https://dergipark.org.tr/en/pub/epod/issue/63232/864744
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