419359

Exploring the Effects of Test Length, Number of Alternatives, and Sample Size on the Accuracy of Individual Estimates and Item Parameters within the Framework of Item Response Th

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Last updated: 29 Mar 2025

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Abstract

the present study aimed to investigate the effects of test length, the number of response alternatives, and different sample sizes on the accuracy of individual ability estimates and item parameters based on Item Response Theory (IRT). The researchers generated sample data using the "WinGen" software, considering various sample sizes ranging from 500 to 2000, different test lengths (ranging from 30 to 50 items), and multiple response formats (three-, four-, and five-option items). The key findings indicated that the accuracy of ability estimation, as well as the accuracy of the difficulty and discrimination parameters, was not affected by test length. However, the guessing parameter was influenced by test length. Additionally, the accuracy of the theta (θ) parameter was higher with four- and five-option items. In contrast, the discrimination, difficulty, and guessing parameters were not affected by the number of response options. The results also revealed that ability estimation was most accurate with a sample size of 500, whereas the accuracy of the discrimination parameter improved with larger sample sizes, particularly with a sample size of 2000.

DOI

10.21608/ajme.2024.419359

Authors

First Name

Asem Abdelmageed Kamel

Last Name

Ahmed

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Affiliation

Assistant Professor, Department of Educational Psychology, Graduate School of Education, Cairo University

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First Name

Amr Mohamed Ibrahim

Last Name

Youssef

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Affiliation

Assistant Professor, Department of Educational Psychology, Graduate School of Education, Cairo University

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Volume

5

Article Issue

9

Related Issue

42952

Issue Date

2024-01-01

Receive Date

2025-03-26

Publish Date

2024-01-01

Print ISSN

2682-2016

Online ISSN

2805-2927

Link

https://ajme.journals.ekb.eg/article_419359.html

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http://journals.ekb.eg?_action=service&article_code=419359

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419,359

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المقالة الأصلية

Type Code

2,099

Publication Type

Journal

Publication Title

المجلة العربية للقياس والتقويم

Publication Link

https://ajme.journals.ekb.eg/

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Exploring the Effects of Test Length, Number of Alternatives, and Sample Size on the Accuracy of Individual Estimates and Item Parameters within the Framework of Item Response Th

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Article

Created At

29 Mar 2025