Journal of Advanced Sciences and Mathematics Education
Vol. 6 No. 3 (2026): Journal of Advanced Sciences and Mathematics Education

Psychometric evaluation of a statistical literacy instrument for pre-service mathematics teachers: Rasch analysis using R

Putri Nur Malasari (Universitas Islam Negeri Sunan Kudus, Indonesia)
Siti Qomariyah (Universitas Islam Negeri Sunan Kudus, Indonesia)
Savira Najwa Meilani (Universitas Islam Negeri Sunan Kudus, Indonesia)



Article Info

Publish Date
05 Sep 2026

Abstract

Background: Statistical literacy is an essential competency for pre-service mathematics teachers, characterized by persistent challenges in interpreting and critically evaluating statistical information. Despite the development of several statistical literacy instruments, comprehensive Rasch-based psychometric evidence for instruments targeting pre-service mathematics teachers remains limited. Purpose: This study aimed to evaluate the psychometric quality of a statistical literacy instrument for pre-service mathematics teachers using the Rasch measurement model implemented in R. The evaluation focused on item functioning, reliability, validity, and overall measurement characteristics. Methods: Data were collected from 132 pre-service mathematics teachers enrolled in an education program. Rasch analysis was conducted to examine item fit and difficulty, reliability, dimensionality, local independence, and person-item targeting. Results: The entire 15 items met the Rasch fit criteria (Infit and Outfit MNSQ = 0.5–1.5), thereby supporting the construct validity and internal consistency, with no misfitting items identified. Most items ranged from easy to moderate (−1.47 to +0.35 logits), with only a particular difficult item. Wright Map analysis showed that respondents' abilities generally exceeded the highest item difficulty, suggesting suboptimal targeting and reduced measurement precision for high-ability respondents. Conclusions: The results showed a mild ceiling effect, with 40.2% of respondents exceeding the hardest item and 3.0% achieving perfect scores. Generally, the instrument exhibited adequate psychometric quality but required more difficult items to improve measurement precision for high-ability respondents. The script-based Rasch workflow in R also enhanced the transparency and reproducibility of psychometric evaluation.

Copyrights © 2026






Journal Info

Abbrev

jasme

Publisher

Subject

Chemistry Education Mathematics Physics Social Sciences

Description

Journal of Advanced Sciences and Mathematics Education [e-ISSN: 2798-1606] is a journal published by the Foundation of Advanced Education. Journal of Advanced Science and Mathematics Education is a communication medium used by researchers, lecturers, teachers, practitioners, and students to convey ...