Application Of IRT And MIRT Models To Analysis Of Analytical Geometry Tests

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dc.contributor.authorKruglova, N.
dc.contributor.authorDykhovychnyi, O.
dc.contributor.authorLysenko, D.
dc.date.accessioned2022-02-11T11:04:29Z
dc.date.available2022-02-11T11:04:29Z
dc.date.issued2021
dc.description.abstractenThe article conducts research on the construction of analytical methods of computer tests in higher mathematics. These computer tests contain test items of various types, including problems with "embedded answers" which include several related subitems. Also, on the basis this method quality analysis of the control work was conducted. The technic is based on the methods of Classical Test Theory (CTT) and Item Response Theory (IRT), which have proven their effectiveness in statistical analysis of tests. The focus of the work is on the use of Multidimensional Item Response Theory (MIRT) models, which allows to analyze simultaneously the whole vector of students' competencies and to scrutinize them more carefully. The study also uses one-dimensional IRT models, the results of which are compared with the use of MIRT. Among the one-dimensional models, the well-known Muraki and Birnbaum models were selected, and among the multidimensional models, the choices were the two-dimensional 2-PL and GPCM. The multidimensional models involved in the study are compensatory. The application of non-compensatory models was not considered. The comparison of compliance with the data of different models was carried out on the basis of special information criteria. One-dimensional models were discovered to be somewhat more effective. The R programming environment was chosen as the main toolkit, which provides a powerful set of software for the test statistical analysis. The mirt package is selected as the main software package. Tests results from a modular test in analytical geometry have been chosen as data for research. The test was written by 105 students from IT stream, specialty 121, at FIOT NTUU "Igor Sikorsky Kiev Polytechnic Institute". The test was placed on the MOODLE platform and was conducted remotely. The analysis of test results on the basis of selected models demonstrated the consistency between the results of both one-dimensional and multidimensional models. However, multidimensional models also allow to expound the analysis of various additional competences, in this case - knowledge of vector algebra and knowledge of lines, planes, and surfaces in space. The analysis showed that the test was, in general, composed correctly; also the analysis allowed to systematize the items by complexity; and for questions such as "embedded answers " to detail the complexity of the subitems. Evaluating the overall results of the application of one-dimensional and multidimensional models of IRT, it should be noted their effectiveness in the analysis of both tests in higher mathematics and in the control of knowledge in other disciplines.uk
dc.format.pagerangeС. 36-49uk
dc.identifier.citationKruglova, N. Application Of IRT And MIRT Models To Analysis Of Analytical Geometry Tests / N. Kruglova, O. Dykhovychnyi, D. Lysenko // Адаптивні системи автоматичного управління : міжвідомчий науково-технічний збірник. – 2021. – № 1 (38). – С. 36-49. – Бібліогр.: 19 назв.uk
dc.identifier.doihttps://doi.org/10.20535/1560-8956.38.2021.233179
dc.identifier.urihttps://ela.kpi.ua/handle/123456789/46369
dc.language.isoenuk
dc.publisherКПІ ім. Ігоря Сікорськогоuk
dc.publisher.placeКиївuk
dc.sourceАдаптивні системи автоматичного управління : міжвідомчий науково-технічний збірник, 2021, № 1 (38)uk
dc.subjectcomputer testsuk
dc.subject"embedded answers (cloze)"uk
dc.subjectCTTuk
dc.subjectIRTuk
dc.subjectMIRTuk
dc.subjectMOODLEuk
dc.subject.udc37.091.26:004.9uk
dc.titleApplication Of IRT And MIRT Models To Analysis Of Analytical Geometry Testsuk
dc.typeArticleuk

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Адаптивні системи автоматичного управління : міжвідомчий науково-технічний збірник. – 2021. – № 1 (38)