Detecting Suspicious Persons in Multiple-Choice Tests: Comparison of Performance of [omega] and GBT Indexes

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Title: Detecting Suspicious Persons in Multiple-Choice Tests: Comparison of Performance of [omega] and GBT Indexes
Language: English
Authors: Arzu Uçar (ORCID 0000-0002-0099-1348), Celal Deha Dogan (ORCID 0000-0003-0683-1334)
Source: International Journal of Assessment Tools in Education. 2026 13(1):95-107.
Availability: International Journal of Assessment Tools in Education. Pamukkale University, Faculty of Education, Kinikli Campus, Denizli 20070, Turkey. e-mail: ijate.editor@gmail.com; Web site: https://dergipark.org.tr/en/pub/ijate
Peer Reviewed: Y
Page Count: 13
Publication Date: 2026
Document Type: Journal Articles
Reports - Research
Descriptors: Multiple Choice Tests, Cheating, Statistical Analysis, Accuracy, Test Items, Difficulty Level, Ability
ISSN: 2148-7456
Abstract: The COVID-19 pandemic has led to a widespread shift from traditional, supervised exams to unsupervised online testing environments, which has increased opportunities and motivation for cheating. Such dishonest behaviors threaten the validity and fairness of test results, underscoring the critical importance of robust test security measures. This study focuses on detecting individuals suspected of cheating by using two widely recognized statistical indexes: the [omega] and Generalized Binomial Test (GBT) indexes. Both indexes were applied within two analytical frameworks no-stage and two-stage methods. In the two-stage approach, the [omega] and GBT indexes were employed following the detection of potential cheaters using the Kullback-Leibler (KL) divergence index and person fit statistics (l[subscript z] and l[subscript z]*). To simulate realistic conditions, we manipulated key variables including test difficulty, ability levels of suspected copiers, and the proportion of copied items. Our findings demonstrate that the GBT index combined with the KL index consistently outperformed other methods across varying scenarios in terms of detection accuracy and control of false positives. These results suggest that integrating person-fit and distribution-based methods enhances the reliability of cheating detection in unsupervised testing environments. The study provides valuable insights for test administrators seeking effective statistical tools to safeguard test integrity, especially in the context of increasing online assessments.
Abstractor: As Provided
Entry Date: 2026
Accession Number: EJ1496093
Database: ERIC
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  Data: Detecting Suspicious Persons in Multiple-Choice Tests: Comparison of Performance of [omega] and GBT Indexes
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  Data: <searchLink fieldCode="AR" term="%22Arzu+Uçar%22">Arzu Uçar</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0002-0099-1348">0000-0002-0099-1348</externalLink>)<br /><searchLink fieldCode="AR" term="%22Celal+Deha+Dogan%22">Celal Deha Dogan</searchLink> (ORCID <externalLink term="https://orcid.org/0000-0003-0683-1334">0000-0003-0683-1334</externalLink>)
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  Data: <searchLink fieldCode="SO" term="%22International+Journal+of+Assessment+Tools+in+Education%22"><i>International Journal of Assessment Tools in Education</i></searchLink>. 2026 13(1):95-107.
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  Data: International Journal of Assessment Tools in Education. Pamukkale University, Faculty of Education, Kinikli Campus, Denizli 20070, Turkey. e-mail: ijate.editor@gmail.com; Web site: https://dergipark.org.tr/en/pub/ijate
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  Data: <searchLink fieldCode="DE" term="%22Multiple+Choice+Tests%22">Multiple Choice Tests</searchLink><br /><searchLink fieldCode="DE" term="%22Cheating%22">Cheating</searchLink><br /><searchLink fieldCode="DE" term="%22Statistical+Analysis%22">Statistical Analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Accuracy%22">Accuracy</searchLink><br /><searchLink fieldCode="DE" term="%22Test+Items%22">Test Items</searchLink><br /><searchLink fieldCode="DE" term="%22Difficulty+Level%22">Difficulty Level</searchLink><br /><searchLink fieldCode="DE" term="%22Ability%22">Ability</searchLink>
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  Data: The COVID-19 pandemic has led to a widespread shift from traditional, supervised exams to unsupervised online testing environments, which has increased opportunities and motivation for cheating. Such dishonest behaviors threaten the validity and fairness of test results, underscoring the critical importance of robust test security measures. This study focuses on detecting individuals suspected of cheating by using two widely recognized statistical indexes: the [omega] and Generalized Binomial Test (GBT) indexes. Both indexes were applied within two analytical frameworks no-stage and two-stage methods. In the two-stage approach, the [omega] and GBT indexes were employed following the detection of potential cheaters using the Kullback-Leibler (KL) divergence index and person fit statistics (l[subscript z] and l[subscript z]*). To simulate realistic conditions, we manipulated key variables including test difficulty, ability levels of suspected copiers, and the proportion of copied items. Our findings demonstrate that the GBT index combined with the KL index consistently outperformed other methods across varying scenarios in terms of detection accuracy and control of false positives. These results suggest that integrating person-fit and distribution-based methods enhances the reliability of cheating detection in unsupervised testing environments. The study provides valuable insights for test administrators seeking effective statistical tools to safeguard test integrity, especially in the context of increasing online assessments.
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      – Text: English
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      Pagination:
        PageCount: 13
        StartPage: 95
    Subjects:
      – SubjectFull: Multiple Choice Tests
        Type: general
      – SubjectFull: Cheating
        Type: general
      – SubjectFull: Statistical Analysis
        Type: general
      – SubjectFull: Accuracy
        Type: general
      – SubjectFull: Test Items
        Type: general
      – SubjectFull: Difficulty Level
        Type: general
      – SubjectFull: Ability
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      – TitleFull: Detecting Suspicious Persons in Multiple-Choice Tests: Comparison of Performance of [omega] and GBT Indexes
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            NameFull: Arzu Uçar
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            NameFull: Celal Deha Dogan
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