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All Journal Jurnal Ilmu Komputer Statistika Epsilon: Jurnal Matematika Murni dan Terapan CAUCHY: Jurnal Matematika Murni dan Aplikasi Bulletin of Electrical Engineering and Informatics Jurnal Sosioteknologi Jurnal Administrasi Kesehatan Indonesia Jurnal Akuntansi dan Perpajakan UNEJ e-Proceeding KEUNIS Sinkron : Jurnal dan Penelitian Teknik Informatika Jurnal Ecodemica : Jurnal Ekonomi Manajemen dan Bisnis Perspektif : Jurnal Ekonomi dan Manajemen Universitas Bina Sarana Informatika Indonesian Journal of Applied Statistics International Humanities and Applied Science Journal Journal of Regional and Rural Development Planning BAREKENG: Jurnal Ilmu Matematika dan Terapan MATRIK : Jurnal Manajemen, Teknik Informatika, dan Rekayasa Komputer Sosio e-kons Zero : Jurnal Sains, Matematika, dan Terapan KEUDA : JURNAL KAJIAN EKONOMI DAN KEUANGAN DAERAH Jurnal TAMBORA Journal Of Management Science (JMAS) ECOPLAN : JOURNAL OF ECONOMICS AND DEVELOPMENT STUDIES Jurnal Mantik Journal of Business and Applied Management TEKNOKOM : Jurnal Teknologi dan Rekayasa Sistem Komputer Jurnal Ilmiah Dinamika Sosial Bappenas Working Papers Jurnal Sosial Humaniora Sigli Jurnal Ekonomi Dan Bisnis Jurnal Educatio FKIP UNMA Jurnal Sistem Komputer & Kecerdasan Buatan Aksara: Jurnal Ilmu Pendidikan Nonformal PUBLIKASI PENELITIAN TERAPAN DAN KEBIJAKAN Alifmatika: Jurnal Pendidikan dan Pembelajaran Matematika Udayana Journal of Social Sciences and Humanities (UJoSSH) Jurnal Lebesgue : Jurnal Ilmiah Pendidikan Matematika, Matematika dan Statistika Jurnal Statistika dan Aplikasinya EPSILON Jurnal Pendidikan Matematika Jurnal Teknik Informatika (JUTIF) Epidemiology and Society Health Review (ESHR) Jurnal Manajemen Publik dan Kebijakan Publik (JMPKP) Lombok Journal of Science Infinity Jurnal Matematika dan Aplikasinya (IJMA) Scientax: Jurnal Kajian Ilmiah Perpajakan Indonesia Jurnal Litbang Edusaintech Berdikari : Jurnal Ekonomi dan Statistik Indonesia Educoretax Journal of Law, Administration, and Social Science Jurnal Ilmu Ekonomi dan Sosial (JIES) Nusantara Journal of Behavioral and Social Science Jurnal Multidisiplin Madani (MUDIMA) Soshum: Jurnal Sosial dan Humaniora Jurnal Akuntansi dan Keuangan Indonesia Jurnalku Jurnal Manajemen dan Pemasaran Jasa Bandung Conference Series: Mathematics Khatulistiwa: Jurnal Pendidikan dan Sosial Humaniora Indonesia Auditing Research Journal Melati: Jurnal Media Komunikasi Ilmu Ekonomi Priviet Social Sciences Journal Jurnal Bayesian : Jurnal Ilmiah Statistika dan Ekonometrika Jurnal Media Akademik (JMA) Jurnal Manajemen Ekonomi dan Bisnis Jurnal Ilmiah Kesehatan Pernus Buletin Ilmiah Litbang Perdagangan Advance Sustainable Science, Engineering and Technology (ASSET) Hasina: Jurnal Akuntansi dan Bisnis Syariah International Journal of Economics, Science, and Education (IJESE) Theta: Journal of Statistics
Pardomuan Robinson Sihombing
BPS-Statistics Indonesia
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Journal : Theta: Journal of Statistics

 1 
Alternative Evaluation of Nonparametric Analysis of Covariance (Ancova) Methods: Simulation Study for Violation of Parametric Assumptions Pardomuan Robinson Sihombing
Theta: Journal of Statistics Vol 1, No 2 (2025): Available Online in September 2025
Publisher : Faculty of Engineering, Univesitas Sultan Ageng Tirtayasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62870/tjs.v1i2.36271

Abstract

Analysis of Covariance (ANCOVA) is a fundamental statistical method in experimental research, but it often faces violations of parametric assumptions that can compromise the validity of statistical inferences. This study aims to evaluate the relative performance of various alternative nonparametric ANCOVA methods through simulation. The simulation study generated a dataset of 75 observations (25 per group) using normal, gamma, and lognormal distributions to simulate violations of normality and homoskedasticity assumptions. Seven alternative methods were evaluated: Quade ANCOVA, ANCOVA Rank Transformation, Aligned Rank Transform, van Elteren Test, NANCOVA Resampling, ANCOVA Permutation, and ANCOVA Bootstrap. Assumption testing revealed significant violations of residual normality and homoskedasticity, while homogeneity of slopes was met. ANCOVA's Rank Transformation yields an F-statistic of 54.54 (p
Comprehensive Evaluation Of Proportion Hypothesis Testing: Integration Of Manual Calculations And Effect Sizes In The "New Statistics" Framework Pardomuan Robinson Sihombing
Theta: Journal of Statistics Vol 2, No 1 (2026): Available Online in March 2026
Publisher : Faculty of Engineering, Univesitas Sultan Ageng Tirtayasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62870/tjs.v2i1.38576

Abstract

A Conventional statistical inference often relies solely on the use of p-values, thereby overlooking the practical significance of results, particularly in categorical data analysis, where the reporting of effect sizes is frequently neglected. This study aims to evaluate the application of proportion hypothesis tests in five scenarios (one Population to k dependent and independent populations) by integrating manual calculations, effect size estimates, and post-hoc tests. The research method involved deconstructing the Z, McNemar, Chi-Square, and Cochran's Q test formulas, which were compared with effect metrics including Cohen's g, Cohen's h, Cramer's V, and Serlin's . The results of the analysis reveal an apparent discrepancy between statistical and practical significance. In the one-population test, statistically significant results (p < 0.05) turned out to have a negligible effect (Cohen's g = 0.12), whereas in the Cochran's Q test, the threshold p-value (p = 0.0497) was reinforced by a substantial effect size (Serlin's R² = 0.30). This study concludes that integrating omnibus tests with post-hoc procedures (such as Marascuilo and Pairwise McNemar) and reporting effect sizes is imperative to avoid misleading binary interpretations and enhance the validity of scientific conclusions. The main contribution of this paper is providing a consolidated, practical framework for researchers to transition into the "New Statistics" paradigm when dealing with diverse categorical data structures.
Co-Authors Abdul Gofur Rochman Ade Famalika Ade Famalika Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Ade Marsinta Arsani Adina Astasia Ahid Nur Istinah Ahmaddien, Iskandar Aji, Lexi Jalu Al Aqilah, Muhamad Refkhi Amin Prawiro Madhani Anang Kurnia Anita, Tiurida Lily Arsani, Ade Marsinta Artha Satwika Astawa, I Gede Putu Banu Avior Ocean Noya Bagus Sartono Bekti Endar Susilowati Bekti Endar Susilowati Bekti Endar Susilowati Bertho Tantular Bungkus Sasongko Purnomo Bungkus Sasongko Purnomo Busminoloan Busminoloan Cahya Alkahfi Daqiqil Id, Ibnu Deden Achmad Sunarjo Desak Ari Gita Wahyuni Deva A. Nurul Huda Devitama Patria Nagara Dhinnessa Prabowo Drajat Indra Purnama DRAJAT INDRA PURNAMA Dwi Muslianti Dyah Purwanti Ekowati Retnaningsih Erfiani Erfiani Erfiani Erfiani Erfiani Erfiani, Erfiani Erica Indryani Fadlol Muhammad Fajar Faiza Aina Nurrizqi Feri Fernandes Fitri Mudia Sari Frisca Adriana Gregorius Ivan Aditya Purwahendra Gultom, Yulifar Amin Gunawan, Ghina Hanifa HAMIDAH Hastoro Dwinantoaji Hema Malini, Hema Hendiva Tri Nugraha Hendry Frananda, Hendry Herman, Nur Ashilah Raihanah I Dewa Gede Sunanjaya I Gede Heprin Prayasta I Gede Heprin Prayasta Ida Ayu Candrawati Ida Ayu Candrawati Iis Hayyun Nurul Islam Ine Ratna Dewi Irma Nurmala Dewi Iskandar Ahmaddien Istiqomatul Fajriyah Yuliati Istiqomatul Fajriyah Yuliati Jaka Wijaya Kusuma Januar Ramadhan Karel Fauzan Hakim Kartika Maulidya Irzain Khairil Anwar Notodiputro Khairil Anwar Notodiputro Krisdianto, Boby Febri Kuat Sidik Wahyono Kurnia, Anang Leni Merdawati Lexi Jalu Aji Lina Sari Lisna Sari Lisna Sari Luh Putu Widya Adnyani Mahuda, Isnaini Marta Sundari Marta Sundari Maryani, Sri Masruri Mochtar Maydita Ayu Nursaskiawati Mella Anisa Miftahul Huda Miftahul Huda Miftakhul Jannah Mohamad Arif Kurniawan Mohamad Arif Kurniawan Muchtar, Masruri Muhammad Hafiz Fadhilah Muhammad Heru Akhmadi Muhammad Ramadhan Zulfi Muliantino, Mulyanti Roberto Mun'im, Akhmad Neni Nur Laili Ersela Zain Ng, Kah Choon Ni Kadek Sinarwati Novitha, Irni Nurhidayati Nurhidayati Nurhidayati Nurhidayati Nuryanto Nuryanto Oki Prasetia Hendarsin Padhilah Dikri Pascal, Emilio Pradita Galih Sekar Palupi Puput Puspito Rini Putri Indi Rahayu Putu Pande Wahyu Diatmika Putu Widya Adnyani, Luh Rahayu, Putri Indi Rahmi Lathifah Islami Rama Bhaskara Praja Ramadhisa Fadli, Diva Aisyaliani Rini Rahani Risqi Nurika Fatha Hidayati Saeful Hidayat Sarah Sholikhatun Risma Septie Wulandary Sigit Budiantono Sigit Budiantono Sigit Budiantono Sigit Budiantono Sigit Budiantono Simbolon, Zefanya Grace Enos Sinarta Putra P. Surbakti Sodiqin, Achmad Sri Murdaningrum Stephanus, Matthew Sundari, Marta Supriatna, Yayat Suryadiningrat Suryadiningrat Suryadiningrat SYAMSUL HIDAYAT Taufik Febriyanto Temy Setiawan, Temy Triana Mauliasih Aritonang Triana Mauliasih Aritonang Ulfa Anggraini Usep Nugraha Wahyu Puji Lestari Widdia Angraini Wijaya, Lianna Wiradinata Lambok Silaban Wiranegara, Hanny Wahidin Wisnu Pratiko Y Yunita Yanti, Ni Komang Semara Yesi, Desri Yoshep Paulus Apri Caraka Yuda Yudhie Andriyana Yuninda Anggraini Putri Yunita Yunita Yunita Zain Yudha Prawira Zakir, Supratman