Konsep Homogenitas dan Normalitas dalam Statistik serta Teknik Pengujiannya
DOI:
https://doi.org/10.63822/b98bqe88Keywords:
Homogeneity, Normality, Parametric Statistics, Levene’s Test, Shapiro-Wilk Test.Abstract
The assumptions of homogeneity and normality are fundamental prerequisites in parametric statistical analyses such as the t-test, ANOVA, and linear regression. Without meeting these assumptions, the results of data analysis may become invalid and lead to biased conclusions. This article aims to provide a comprehensive review of the fundamental concepts of homogeneity and normality, their importance in quantitative research, and various methods used to test them. The discussion covers definitions and the roles of homogeneity and normality in statistical tests, testing methods such as Levene’s Test and Bartlett’s Test for homogeneity, as well as Kolmogorov-Smirnov Test and Shapiro-Wilk Test for normality. The analysis also includes the interpretation of test results and an example of their application to research data. The findings indicate that a solid understanding of these basic statistical assumptions is crucial to ensure the validity and reliability of research outcomes. This article provides both theoretical and practical foundations to help researchers select and apply appropriate testing methods prior to conducting data analysis.
References
Brown, M. B., & Forsythe, A. B. (1974). Robust tests for the equality of variances. Journal of the American Statistical Association, 69(346), 364–367. https://doi.org/10.2307/2285659
Damanik, S. (2020). Penerapan Uji Normalitas Kolmogorov–Smirnov dan Shapiro–Wilk pada Penelitian Pendidikan. Jurnal Pendidikan Matematika, 9(2), 133–142. Universitas Sumatera Utara.
Daya, M. (2019). An overview of homogeneity of variance tests on various conditions. Malaysian Journal of Mathematical Sciences, 13(S), 65–80. https://journalarticle.ukm.my/20971/
Gaussian. (2016). Uji Homogenitas Varian dengan Uji Levene dan Bartlett. Jurnal Gaussian, 5(3), 573–584. Universitas Diponegoro. https://ejournal3.undip.ac.id/index.php/gaussian/article/download/3779/3667
Ghozali, I. (2021). Aplikasi Analisis Multivariate dengan Program IBM SPSS 26. Semarang: Universitas Diponegoro Press.
Glass, G. V., Peckham, P. D., & Sanders, J. R. (1972). Consequences of failure to meet assumptions underlying the fixed effects analyses of variance and covariance. Review of Educational Research, 42(3), 237–288. https://doi.org/10.3102/00346543042003237
Khumaedi, M; Sahrul; Zulpan; Hanida, R.S; Hasibuan, R.H. (2025). Metodologi Penelitian Research And Development (R & D) Kajian Dalam Konteks Media & Penerapan. YPAD Penerbit.
Komarudin, U., Wulandari, M. N., Ramadhani, F. A., & Marfu’ah, S. (2024). Pengembangan Instrumen Penelitian. YPAD Penerbit.
Lauretta, M., Sanchez, C., & Liu, Y. (2024). Testing for normality: A user’s (cautionary) guide. SAGE Open Research, 14(2), 112–130. https://doi.org/10.1177/00236772241276808
Levene, H. (1960). Robust tests for equality of variances. In Contributions to Probability and Statistics: Essays in Honor of Harold Hotelling (pp. 278–292). Stanford University Press.
Lim, H. J., & Lim, W. Y. (2022). Statistical tests for homogeneity of variance for clinical trials and beyond. Contemporary Clinical Trials Communications, 28, 101512. https://pmc.ncbi.nlm.nih.gov/articles/PMC10151260/
Malay, M. N. (2022). Belajar Mudah & Praktis Analisis Data dengan SPSS dan JASP. UIN Raden Intan Lampung. https://repository.radenintan.ac.id/25436/1/Buku%20ISBN%20Belajar%20Mudah_Praktis%20SPSS-JASP.pdf
Mishra, P., Pandey, C. M., Singh, U., Gupta, A., Sahu, C., & Keshri, A. (2019). Descriptive statistics and normality tests for statistical data. Annals of Cardiac Anaesthesia, 22(1), 67–72. https://doi.org/10.4103/aca.ACA_157_18
Mohamed, I. M., & Adamu, A. (2019). Effect of sample sizes on the empirical power of some tests of homogeneity of variances. International Journal of Scientific & Technology Research, 8(7), 154–160. https://www.researchgate.net/publication/334671531
Montgomery, D. C. (2012). Design and analysis of experiments (8th ed.). John Wiley & Sons.
Priyatno, D. (2020). SPSS Panduan Praktis Olah Data Statistik. Yogyakarta: Mediakom.
Rahmawati, I., & Hidayat, T. (2022). Uji Normalitas Data dengan SPSS dan R. Jurnal Statistika dan Aplikasinya, 7(1), 45–58. Universitas Negeri Yogyakarta.
Ridlo, S., & Hartono, R. (2018). Development of Instruments Reading Ability Short Functional Text for Eight Junior High School. Journal of Research and Educational Research Evaluation, 7(1), 78-86.
Rohayati, E. (2023). Penerapan Uji Prasyarat Analisis pada Penelitian Pendidikan Dasar Menggunakan SPSS. Jurnal Ilmiah Pendidikan Dasar, 8(2), 201–214. Universitas Negeri Jakarta.
Santoso, S. (2019). Statistik Multivariat Konsep dan Aplikasi dengan SPSS. Jakarta: Elex Media Komputindo.
Sari, R., & Pertiwi, F. (2023). Langkah-Langkah Uji Asumsi Statistik dalam Analisis Data Pendidikan. Jurnal Inovasi Pendidikan Dasar, 4(1), 75–90. Universitas Lampung.
Setiawan, A. (2021). Analisis Asumsi Klasik dalam Penelitian Kuantitatif. Jurnal Ilmu Pendidikan dan Statistik, 5(3), 201–214. Universitas Pendidikan Indonesia.
Shapiro, S. S., & Wilk, M. B. (1965). An analysis of variance test for normality (complete samples). Biometrika, 52(3–4), 591–611. https://doi.org/10.1093/biomet/52.3-4.591
Sugiyono. (2022). Metode Penelitian Kuantitatif, Kualitatif, dan R&D. Bandung: Alfabeta.
Zahediasl, S., & Asgari, A. (2012). Normality tests for statistical analysis: A guide for non-statisticians. International Journal of Endocrinology and Metabolism, 10(2), 486–489. https://doi.org/10.5812/ijem.3505
Zulpan, Z., Sahrul, S., Rochmawan, M. R., Arianto, A., Husein, A., Pulungan, A. F., ... & Sari, T. I. (2025). Scoring Assessment on Multiple-Choice Questions. Teaching and Learning Research Journal, 1(3).
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