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Research Article

Estimating the Students’ Mathematical Ability Using the Newton-Raphson Algorithm Under the Item Response Theory and the Classical Response Theory: A Comparative Study

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Sisteta Kamdon , Nurijam Hanna Mohammad , Ummar Sallil
Psych Educ Multidisc J, 2023, 8 (1), 12-23, DOI: https://doi.org/10.5281/zenodo.7807771, ISSN 2822-4353
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Abstract

This paper utilized the Newton-Raphson Algorithm in calibrating the Item-Response Theory (IRT) to estimate the mathematical abilities of the senior high school students of the Mindanao State University - Tawi-Tawi Campus. For comparison, we also employed the Classical Test Theory (CTT) for the same purpose. It was found out that more of the ability estimates of the concerned students were at the average or above average level in the IRT than in the CTT. Nevertheless, more passers were noted under the IRT than those under the CTT. Moreover, there was a significant difference between the transmuted grades under the IRT and the CTT among the STEM groups while no significant difference was noted among the HUMMS groups. Furthermore, ability estimates of all groups under the IRT and CTT showed significant relationship. The results appeared to support the strength of the IRT, particularly the Newton-Raphson Algorithm, over the CTT in estimating students’ mathematical abilities. Hence, the Newton-Raphson method of the IRT can be a better estimation method that teachers/educators can use in establishing the abilities/performances of their students. 

Keywords item response theory Ability Estimation Classical Test Theory Newton-Raphson Algorithm Mathematical Ability
Authors 3
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The team behind this paper

3 authors, 2 institutions.

This paper Mindanao State University Tawi — Philippines Mindanao State Universi… 2 authors Mindanao State University — Philippines Mindanao State Universi… 1 author Sisteta Kamdon — corresponding author SK Sisteta Kamdon ✉ Nurijam Hanna Mohammad NM Nurijam Hanna Mohammad Ummar Sallil US Ummar Sallil

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341 reads over 34 months.

February 2024 November 2026

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Nurijam Hanna Mohammad 0x5B3BF2…F5a9A2 300,000 (30%)
Ummar Sallil 0xFc289f…B5c25f 300,000 (30%)
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Bibliographic Information

Sisteta Kamdon, Nurijam Hanna Mohammad, Ummar Sallil, (2023). Estimating the Students’ Mathematical Ability Using the Newton-Raphson Algorithm Under the Item Response Theory and the Classical Response Theory: A Comparative Study, Psychology and Education: A Multidisciplinary Journal, 8(1): 12-23
Bibtex Citation
@article{sisteta_kamdon2023pemj,
author = {Sisteta Kamdon and Nurijam Hanna Mohammad and Ummar Sallil},
title = {Estimating the Students’ Mathematical Ability Using the Newton-Raphson Algorithm Under the Item Response Theory and the Classical Response Theory: A Comparative Study},
journal = {Psychology and Education: A Multidisciplinary Journal},
year = {2023},
volume = {8},
number = {1},
pages = {12-23},
doi = {10.5281/zenodo.7807771},
url = {https://scimatic.org/show_manuscript/1147}
}
APA Citation
Kamdon, S., Mohammad, N.H., Sallil, U., (2023). Estimating the Students’ Mathematical Ability Using the Newton-Raphson Algorithm Under the Item Response Theory and the Classical Response Theory: A Comparative Study. Psychology and Education: A Multidisciplinary Journal, 8(1), 12-23. https://doi.org/10.5281/zenodo.7807771

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