Quality Analysis of Mathematical Representation Test Instruments in Junior High School Statistics

  • Nyoman Gita Gayatri Universitas Lampung
  • Fadhlur Rohman
  • Angga Saputra
  • Agung Putra Wijaya
  • Chika Rahayu
Keywords: Mathematical representation ability; Essay test; Item analysis; Instrument quality; Statistics assessment

Abstract

This study aims to analyze the quality of an essay test instrument measuring students’ mathematical representation ability on eighth-grade statistics material, which was administered to ninth-grade students at SMP Negeri 1 Bandar Lampung. The analysis covers item validity, reliability, difficulty level, and discrimination index. This study employed a quantitative approach with a descriptive method. The research subjects were 27 ninth-grade students, while the object of the study consisted of six essay items on statistics that were developed based on indicators of mathematical representation ability. The results show that only three items (numbers 2, 4, and 6) meet the validity criteria, while items 1, 3, and 5 are invalid. The reliability coefficient of the instrument is 0.685, which falls into the moderate category and is therefore acceptable. All items are categorized as easy based on the difficulty index analysis. However, the discrimination index analysis indicates that all items have low discrimination power and thus fail to distinguish between high- and low-ability students. These findings imply that the instrument requires comprehensive revision, particularly in terms of difficulty level and item quality, in order to more accurately measure students’ mathematical representation ability in statistics.

References

Arifin, Z. (2017). Kriteria instrumen dalam suatu penelitian. Jurnal TEOREMA (Penelitian Asli Matematika), 2(1), 28–36 ​

Anderson, L. W., & Krathwohl, D. R. (Eds.). (2001). A taxonomy for learning, teaching, and assessing: A revision of Bloom’s taxonomy of educational objectives. Longman

Cousin, G. (2005). Learning from mistakes. Studies in Higher Education, 30(5), 577–588. https://doi.org/10.1080/03075070500249823

Dewi, S. S., Hariastuti, R. M., & Utami, A. U. (2019). Analisis tingkat kesukaran dan daya pembeda soal olimpiade matematika (OMI) tingkat SMP tahun 2018. Transformasi: Jurnal Pendidikan Matematika dan Matematika, 3(1), 15–26. https://doi.org/10.36526/tr.v3i1.388

Ekayanti, F., & Mahmudah, I. (2024). Efektivitas penggunaan esai pada evaluasi pembelajaran matematika kelas IV di MIN 2 Kota Palangka Raya. Jurnal Ilmiah Pendidikan Guru Madrasah Ibtidaiyah, 4(1), 1–15 ​

Ferrara, S., & Duncan, T. (2011). Examining the role of professional development in improving student achievement in mathematics and science. Journal of Educational Research, 105(1), 63–71 ​

Hera, A. S., Zulhijrah, Z., Nabila, J. L., & Shaleh, S. (2023). Analisis instrumen asesmen: Validitas, reliabilitas, tingkat kesukaran dan daya beda butir soal. Jurnal Ilmiah PGSD FKIP Universitas Mandiri, 9(2), 2990–3001 ​

Magdalena, I., Anggraini, I. A., & Khoiriah, S. (2021). Analisis daya pembeda dan taraf kesukaran pada soal bilangan Romawi kelas IV SDN Tobat 1 Balaraja. Jurnal Pendidikan dan Ilmu Sosial, 3(1), 151–158. https://ejournal.stitpn.ac.id/index.php/nusantara

Maulana, A. (2022). Analisis validitas, reliabilitas, dan kelayakan instrumen penilaian rasa percaya diri siswa. Jurnal Kualitas Pendidikan, 3(3), 133–139 ​

Mustafa, P. S., & Masgumelar, N. K. (2022). Kajian review: Pengembangan instrumen penilaian sikap, pengetahuan, dan keterampilan dalam pendidikan jasmani dan olahraga. Biormatika: Jurnal Ilmiah Fakultas Keguruan dan Ilmu Pendidikan, 8(1), 31–49 ​

National Council of Teachers of Mathematics. (2000). Principles and standards for school mathematics. National Council of Teachers of Mathematics ​

Phafiandita, A. N., Permadani, A., Pradani, A. S., & Wahyudi, M. I. (2022). Urgensi evaluasi pembelajaran di kelas. Jurnal Inovasi dan Riset Akademik, 3(2), 111–121 ​

Rasch, G. (1960). Probabilistic models for some intelligence and attainment tests. University of Chicago Press ​

Tresnahadi, D. P. T., Sugilar, S., & Noviyanti, M. (2022). Kontribusi adversity quotient dan motivasi belajar matematika terhadap prestasi belajar matematika siswa SMK Negeri se-Kabupaten Buleleng. Jurnal Impresi Indonesia, 1(10), 1025–1031. https://doi.org/10.36418/jii.v1i10.464

Wickstrom, C. D., & Wickstrom, M. H. (2020). Developing instructional expertise: Learning to teach. Pearson

Published
2026-01-26
Section
Articles