UJI VALIDITAS DAN RELIABILITAS KONSTRUK INSTRUMEN TES KEMAMPUAN OPERASI HITUNG BILANGAN BULAT MENGGUNAKAN CFA

Taufik Ariyanto(1*), Herwin Herwin(2), Hieronimus Sujati(3),

(1) Universitas Negeri Yogyakarta
(2) Universitas Negeri Yogyakarta
(3) Universitas Negeri Yogyakarta
(*) Corresponding Author


Abstract


Untuk mengukur tingkat kemampuan operasi hitung bilangan bulat maka perlu dirancang instrumen tes. Namun belum banyak instrumen tes yang valid dan reliabel. Riset ini tujuannya guna melakukan pengujian reliabilitas dan validitas konstruk instrumen tes objektif kemampuan operasi hitung bilangan bulat yang dikembangkan oleh peneliti. Penelitian ini mempergunakan 274 responden secara acak dari pelajar kelas VI SD (Sekolah Dasar) di Kecamatan Wedi Kabupaten Klaten. Data pengujian validitas dan reliabilitas dianalisis dengan CFA tingkat dua (second order confirmatory factor analysis) memakai perangkat lunak LISREL 8.80. Hasil riset memperlihatkan bahwasanya instrumen tes objektif kemampuan operasi hitung bilangan bulat tersusun atas 4 aspek kemampuan operasi hitung bilangan bulat yaitu penjumlahan, pengurangan, perkalian, dan pembagian bilangan bulat. Keempat aspek tersebut dikembangkan menjadi indikator yang terdiri dari 16 butir pertanyaan pilihan ganda. Hasil riset menunjukkan bahwasanya instrumen tes objektif kemampuan operasi hitung bilangan bulat yang dianalisis memenuhi kriteria goodness of fit, validitas konvergen, validitas diskriminan, dan reliabilitas konstruk. Oleh karena itu pengembangan instrumen pengujian layak dipakai untuk mengukur kemampuan operasi hitung bilangan bulat pelajar kelas VI SD (Sekolah Dasar).


Keywords


analisis faktor konfirmatori, reliabilitas konstruk, tes kemampuan operasi hitung bilangan bulat, validitas konstruk

References


Ab Hamid, M. R., Sami, W., & Sidek, M. H. M. (2017). Discriminant validity assessment: Use of Fornell & Larcker criterion versus HTMT criterion. Journal of Physics: Conference Series, 890(1), 12163.

Agarwal, V. (2013). Investigating the convergent validity of organizational trust. Journal of Communication Management, 17(1), 24–39.

Arifuddin, A., & Arrosyid, S. R. (2017). Pengaruh metode demonstrasi dengan alat peraga jembatan garis bilangan terhadap hasil belajar matematika materi bilangan bulat. Al Ibtida: Jurnal Pendidikan Guru MI, 4(2), 165–178.

Brown, T. A., & Moore, M. T. (2012). Confirmatory factor analysis. Handbook of Structural Equation Modeling, 361, 379.

Cheung, G. W., Cooper-Thomas, H. D., Lau, R. S., & Wang, L. C. (2023). Reporting reliability, convergent and discriminant validity with structural equation modeling: A review and best-practice recommendations. Asia Pacific Journal of Management, 1–39.

Clements, M. D., & Cord, B. A. (2013). Assessment guiding learning: developing graduate qualities in an experiential learning programme. Assessment & Evaluation in Higher Education, 38(1), 114–124.

DeVellis, R. F. (2017). An overview of item response theory. Scale Development: Theory and Applications. Fourth Ed. Los Angeles: SAGE Publications, Inc, 213–224.

Elfida, D., Milla, M. N., Mansoer, W. W. D., & Takwin, B. (2021). Adaptasi dan uji properti psikometrik The PERMA-Profiler pada orang Indonesia. Persona: Jurnal Psikologi Indonesia, 10(1), 81–103.

Hair, J.P., Black, J.P., Babin, J.P., & Anderson, R. . (2019). Multivariate Data Analysis, Eighth Edition. Cengage Learning.

Hatcher, L., & O’Rourke, N. (2013). A step-by-step approach to using SAS for factor analysis and structural equation modeling. SAS institute.

Jauk, E., & Ehrenthal, J. C. (2021). Self-reported levels of personality functioning from the operationalized psychodynamic diagnosis (OPD) system and emotional intelligence likely assess the same latent construct. Journal of Personality Assessment, 103(3), 365–379.

Koran, J. (2016). Preliminary proactive sample size determination for confirmatory factor analysis models. Measurement and Evaluation in Counseling and Development, 49(4), 296–308.

Kyriazos, T. A., & others. (2018). Applied psychometrics: sample size and sample power considerations in factor analysis (EFA, CFA) and SEM in general. Psychology, 9(08), 2207.

Lei, P.-W., & Shiverdecker, L. K. (2020). Performance of estimators for confirmatory factor analysis of ordinal variables with missing data. Structural Equation Modeling: A Multidisciplinary Journal, 27(4), 584–601.

Malcolm, S. A., Mavhunga, E., & Rollnick, M. (2019). The validity and reliability of an instrument to measure physical science teachers’ topic specific pedagogical content knowledge in stoichiometry. African Journal of Research in Mathematics, Science and Technology Education, 23(2), 181–194.

Muhsin, A. (2012). Mengenal Bilangan Bulat dan Operasinya. PT Balai Pustaka (Persero).

Naqsyahbandi, F., & Prodjosantoso, A. K. (2023). Instrumental Analysis of Student Perceptions of Chemistry Learning with the STEM Approach at the end of the Covid-19 Pandemic using Second Order Confirmatory Factor Analysis. Jurnal Penelitian Pendidikan IPA, 9(3), 1480–1485.

PISLAE, K., & PETSANGSRI, S. (2020). The Development of Media Literacy for Undergraduate Students: A Second Order Confirmatory Factor Analysis. Revista ESPACIOS, 41(11).

Retnawati, H. (2016). Analisis kuantitatif instrumen penelitian (panduan peneliti, mahasiswa, dan psikometrian). Parama publishing.

Retnawati, H. (2018). Validitas dan reliabilitas konstruk skor tes kemampuan calon mahasiswa. Jurnal Ilmu Pendidikan, 23(2).

Roemer, E., Schuberth, F., & Henseler, J. (2021). HTMT2--an improved criterion for assessing discriminant validity in structural equation modeling. Industrial Management & Data Systems, 121(12), 2637–2650.

Selomo, M., Mallongi, A., Birawida, A. B., Arsyad, M., & others. (2019). Confirmatory Factor Analysis Model of Solid Waste in Small Island Makassar City. Indian Journal of Public Health Research & Development, 10(1).

Sholahuddin, M., Abdullah, M. A., Barom, M. N., Tahir, I. N., & others. (2022). Dimensions of Islamic business coaches’ role: A second order confirmatory factor analysis (CFA). In Contemporary Research on Management and Business (pp. 152–155). CRC Press.

Sujati, H. (2021). Assessing the discriminant validity of the curiosity scale using confirmatory factor analysis. In Educational Innovation in Society 5.0 Era: Challenges and Opportunities (pp. 60–63). Routledge.

Sujati, Heronemus, & Akhyar, M. (2020). Testing the construct validity and reliability of curiosity scale using confirmatory factor analysis. Benefits.

Voorhees, C. M., Brady, M. K., Calantone, R., & Ramirez, E. (2016). Discriminant validity testing in marketing: an analysis, causes for concern, and proposed remedies. Journal of the Academy of Marketing Science, 44, 119–134.

Wang, X., French, B. F., & Clay, P. F. (2015). Convergent and discriminant validity with formative measurement: A mediator perspective. Journal of Modern Applied Statistical Methods, 14(1), 83–106.

Zaict, A., & Bertea, P. (2011). Methods for testing discriminant validity. Management & Marketing Journal, 9(2), 217–224.




DOI: http://dx.doi.org/10.24127/ajpm.v12i3.7482

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