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All Journal Jurnal Statistika dan Matematika (Statmat) Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam (JURRIMIPA) Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika Jurnal Riset Rumpun Ilmu Pendidikan (JURRIPEN) Katalis Pendidikan: Jurnal Ilmu Pendidikan dan Matematika Bilangan: Jurnal Ilmiah Matematika, Kebumian dan Angkasa Algoritma: Jurnal Matematika, Ilmu Pengetahuan Alam, Kebumian dan Angkasa
Arnah Ritonga
Unknown Affiliation
Astronomy Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Health Professions Languange, Linguistic, Communication & Media Mathematics Social Sciences Other

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METODE ANALISIS JALUR DALAM MENGANALISIS KETERGANTUNGAN SMARTPHONE TERHADAP PERILAKU BELAJAR SISWA SMP NEGERI 1 TANTOM ANGKOLA Wahyudi Yhose A Simanjuntak; Arnah Ritonga
JURNAL RISET RUMPUN ILMU PENDIDIKAN Vol. 2 No. 1 (2023): April : Jurnal Riset Rumpun Ilmu Pendidikan
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurripen.v2i1.813

Abstract

The ease of using Smartphones and the many functions that help with activities, make today's teenagers very familiar with Smartphones, including students at SMP Negeri 1 Tantom Angkola. Students tend to use Smartphones for various reasons, such as just wanting to play games and being too active on social media. The impact of Smartphone dependence, especially on student development, will have a negative impact from an academic point of view. The nature of dependence does not just happen, the influence of one another is certainly interconnected or correlated and forms a causal relationship. This paper aims to see how much influence Smartphone dependency has on the learning behavior of students at SMP Negeri 1 Tantom Angkola and which variables have the most influence on the learning behavior of SMP Negeri 1 Tantom Angkola Students. The method used in this study is the Path Analysis method. Path Analysis is a technique for analyzing causal relationships that occur when exogenous variables affect endogenous variables, not only directly but also indirectly. Path Analysis is used to determine the direct and indirect effects of exogenous variables on an endogenous variable which is reflected in the path coefficient. From the research results, it is obtained that the direct influence of social media variables on learning behavior = 44.9%, the large direct influence of online game variables on learning behavior = 40.7%, the direct influence of internet data package variables on learning behavior = 0.4%, the direct effect of school control variables on learning behavior = 85.2%. Then the variable that has the greatest influence on learning behavior is the school control variable with a value of 85.2%.
Penerapan Probabilitas dalam Sistem Skoring untuk Evaluasi Kelayakan Beasiswa Mahasiswa Prodi Matematika Universitas Negeri Medan Tahun 2022 Arnah Ritonga; Ellys Rebecca Simanjuntak; Keisya Amelia Putri; Nafasa Zahri; Mhd. Fachrizal; Alya Dwi Lestari; Arief Rachman
Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika Vol. 3 No. 2 (2025): Jurnal Arjuna : Publikasi Ilmu Pendidikan, Bahasa dan Matematika
Publisher : Asosiasi Riset Ilmu Pendidikan Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.61132/arjuna.v3i2.1717

Abstract

This study aims to apply the concept of probability in the assessment system to assess students' eligibility to receive scholarships. By applying a probabilistic approach, especially Bayes' Theorem, this study develops a more objective and data-based evaluation method. The method used is a quantitative approach with probabilistic analysis, allowing the calculation of students' chances of getting scholarships based on factors such as Cumulative Achievement Index (IPK) and Single Tuition Fee (UKT). The data analyzed includes primary data from students applying for scholarships as well as secondary data from historical records of previous scholarship acceptances. The results of the study show that GPA plays a significant role in increasing the chances of receiving a scholarship, where students with higher GPAs are more likely to be accepted. Conversely, students with high UKT tend to have lower chances, indicating that financial conditions are also a major factor in selection. This probability-based approach increases transparency and fairness in the selection system and reduces subjectivity in decision making. This study confirms that a probability-based scoring system can be a fairer and more accurate solution in assessing the eligibility of scholarship recipients. It is hoped that the results of this study can be a reference for educational institutions in developing a more data-based and objective selection system.
Penerapan Distribusi Normal Dalam Pengukuran Tinggi Badan Mahasiswa FMIPA Universitas Negeri Medan 2024 Arnah Ritonga; Endang Lyfia Saragih; Grace Amelia Purba; Petra Putri Sarinah Pandiangan; Rizka Nabila Damanik; Farel Al Azmi
Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa Vol. 3 No. 2 (2025): Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/bilangan.v3i2.465

Abstract

This study explores the application of the normal distribution in analyzing the height data of Mathematics Education students at FMIPA Universitas Negeri Medan in 2024. Employing a quantitative descriptive-analytic methodology, the research involved collecting primary data from 10 randomly selected students through a questionnaire-based survey. Descriptive statistical analysis revealed a mean height of 161.4 cm with a standard deviation of 8.79 cm. The median height was found to be 164 cm, while the mode was 150 cm, indicating a slightly skewed distribution. To assess the suitability of the normal distribution model, the Shapiro-Wilk test was applied, resulting in a W value of 0.921 and a p-value of 0.361, which exceeds the 0.05 significance level. This confirms that the sample data follow a normal distribution pattern. The findings were further supported through visual representation using histograms and analysis based on the empirical rule, which showed that approximately 68% of the students' heights fall within one standard deviation of the mean (152.81–169.99 cm). Additionally, probability calculations demonstrated that the likelihood of a student being 160 cm tall or shorter is approximately 43.64%. These results validate the effectiveness of the normal distribution as a tool for analyzing biological or physical characteristics, even in small sample sizes. However, the study acknowledges its limitation in terms of sample size and suggests that future research involve larger and more diverse populations to enhance generalizability. The study highlights the relevance of normal distribution in statistical modeling, particularly for educational and health-related data interpretation and decision-making processes.
Analisis Kombinatorik Dalam Menentukan Keamanan dan Kompleksitas Password dengan Penerapan Teori Kombinatorik Arnah Ritonga; Bobby Putra Delon Togatorop; Herdita Br Ginting; Klara Manila Laoli; Monica Tri Yuni Sinaga; Rina Intan Amelia; Widya kartini pangaribuan
Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika Vol. 2 No. 2 (2025): Katalis Pendidikan : Jurnal Ilmu Pendidikan dan Matematika
Publisher : Lembaga Pengembangan Kinerja Dosen

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/katalis.v2i2.1463

Abstract

Password security is a crucial aspect of digital authentication systems; however, many users still rely on weak and easily guessable passwords, increasing their vulnerability to cyber threats such as brute force and dictionary attacks. This study aims to evaluate password strength based on length and character complexity using a combinatorial theory approach. Through simulations, this research calculates the number of possible character combinations for various password lengths and character types, including lowercase letters, uppercase letters, numbers, and symbols. Additionally, the study estimates the time required to crack different types of passwords using brute force techniques and compares the results with real-world password breach data. The simulation results reveal that passwords composed solely of lowercase letters and fewer than eight characters in length can be cracked within seconds. In contrast, passwords that include a combination of uppercase and lowercase letters, numbers, and symbols with a minimum length of 12 characters would require more than one million years to be deciphered through brute force methods. These findings emphasize that increasing both the length and complexity of passwords significantly enhances security strength. Therefore, users are strongly encouraged to create passwords that are at least 12 characters long and include a diverse mix of character types. Furthermore, implementing Multi-Factor Authentication (MFA) and using password managers are highly recommended strategies to improve account protection. By adopting these practices, the risk of data breaches due to compromised passwords can be substantially reduced, contributing to stronger and more resilient digital security environments.
Menghitung Peluang dalam Susunan Kata Sandi : Kombinatorika dalam Keamanan Digital Arnah Ritonga; Dina Harianja; Maisarah Putri Lalyta Siregar; Stepanus Simatupang; Vany Aisah Panggabean
Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa Vol. 3 No. 3 (2025): Algoritma : Jurnal Matematika, Ilmu pengetahuan Alam, Kebumian dan Angkasa
Publisher : Asosiasi Riset Ilmu Matematika dan Sains Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62383/algoritma.v3i3.468

Abstract

Today is a sophisticated era where everything is digital, be it smartphones, laptops, even safes. So digital password security is essential in protecting personal data. This study analyzes password strength using combinatorics and probability. Calculations are made to determine the number of possible password combinations based on the length and type of characters. In addition, the probability of success of a brute-force attack is calculated based on the number of guesses that can be made by the attacker. The results show that the longer and more complex the password, the less likely it is to be guessed. This study also discusses the concept of information entropy to measure the level of randomness of passwords and its impact on digital security. This study provides insight into the importance of choosing strong passwords.
Analisis Probabilitas Hujan Menggunakan Data Historis Dari BMKG Wilayah I Tahun 2013-2015 Arnah Ritonga; Asni Al Amini; Livia Mutianda; Riamonda Singarimbun; Aiman Hidayat Baeha; Glensius Rayhane Pasaribu; Juanda Arief Darmawan Damanik
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 1 (2025): April : Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i1.4367

Abstract

Rainfall potential analysis plays a critical role in the management of air resources, mitigation of hydrometeorological disasters, and agricultural activity planning. Accurate estimation of rainfall patterns is essential to ensure effective decision-making in irrigation systems, water resource management, and disaster risk reduction strategies. This study aims to model the probability of rainfall occurrence using a statistical approach based on historical data obtained from the Bureau of Meteorology. The data spans a multi-year period and captures seasonal and regional variability in rainfall events. To characterize rainfall patterns, various probability distributions are tested, including the exponential distribution and the Weibull distribution, which are commonly applied in hydrological studies. Furthermore, the Markov chain method is employed to assess the likelihood of rainfall occurrence on a given day based on the conditions of the preceding day, thereby capturing temporal dependencies. Parameter estimation is conducted using Maximum Likelihood Estimation (MLE), a robust statistical method that enhances the precision of the model. The suitability of each probability distribution in representing the observed rainfall data is evaluated through goodness-of-fit tests such as the Kolmogorov-Smirnov test. The findings reveal that certain distributions align more closely with the local rainfall characteristics, demonstrating the importance of regional analysis in climate modeling. The combination of probabilistic modeling, Markov analysis, and rigorous statistical testing provides a reliable framework for forecasting rainfall. These results are expected to serve as a scientific basis for stakeholders in agriculture, environmental planning, and disaster preparedness, offering insights that support sustainable water resource utilization and risk management.
Analisis Efektivitas Jam Belajar Mahasiswa Matematika UNIMED dengan Pendekatan Distribusi Weibull dalam Sistem Blok: Studi Kasus Stanbuk 2024 Maria Adesuryani Purba; Hery Judika Lumbantobing; Ian Pedrosa Mantap Lumban Gaol; Agum Tumanggor; Nafisa Naila Lubis; Ruth Prima Stevani Nababan; Arnah Ritonga
STATMAT : JURNAL STATISTIKA DAN MATEMATIKA Vol 7 No 1 (2025)
Publisher : Math Program, Math and Science faculty, Pamulang University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32493/sm.v7i1.48574

Abstract

Penelitian ini bertujuan untuk memodelkan efektivitas jam belajar mahasiswa Universitas Negeri Medan (UNIMED) terutama pada jurusan matematika terutama pada stanbuk 2024 dengan menggunakan distribusi Weibull dalam sistem blok. Efektivitas jam belajar merupakan faktor penting yang mempengaruhi prestasi akademik mahasiswa. Dengan pendekatan distribusi Weibull, penelitian ini berusaha untuk mengidentifikasi pola belajar mahasiswa serta faktor-faktor yang mempengaruhi efektivitas belajar mereka. Data dikumpulkan melalui survei yang melibatkan mahasiswa dari berbagai program studi dari Jurusan Matematika UNIMED. Hasil analisis menunjukkan bahwa terdapat variasi signifikan dalam efektivitas jam belajar di antara mahasiswa, yang dipengaruhi oleh faktor-faktor seperti metode belajar, lingkungan belajar, dan manajemen waktu. Temuan ini diharapkan dapat memberikan rekomendasi bagi pihak universitas dalam merancang program pembelajaran yang lebih efektif dan efisien, serta membantu mahasiswa dalam mengatur waktu belajar mereka dengan lebih baik. Penelitian ini diharapkan dapat memberikan kontribusi terhadap pengembangan ilmu pendidikan dan manajemen waktu belajar di lingkungan pendidikan tersebut .
Penerapan Konsep Bunga Majemuk dalam Analisis Pertumbuhan Modal Usaha Penjual Sayur di Pasar Tradisional MMTC Medan Arnah Ritonga; Endang Lyfia Saragih; Grace Amelia Purba; Petra Putri Sarinah Pandiangan; Rizka Nabila Damanik
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 2 (2025): Agustus: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i2.6937

Abstract

This study analyzes the application of the compound interest concept in evaluating capital growth among vegetable vendors at the MMTC Traditional Market in Medan, North Sumatra. The research highlights the low level of financial literacy among micro-entrepreneurs in Indonesia, which currently stands at only 38.03%, and its implications for business sustainability. Traditional market traders generally employ basic bookkeeping practices focused solely on daily cash flow, without considering the time value of money or the growth potential from systematic profit reinvestment. Using a mixed-methods approach, this study combines semi-structured interviews to explore existing financial management practices with quantitative modeling based on the discrete compound interest formula to simulate various capital growth scenarios. The analysis reveals that disciplined reinvestment strategies, even when initiated with modest capital and conservative growth rates, can lead to substantial capital accumulation within three to five years. Three primary barriers to capital growth were identified: limited understanding of financial mathematics, lack of long-term planning, and a tendency to prioritize immediate consumption over investment. This research underscores the transformative potential of compound interest principles for micro-enterprise development and recommends practical financial literacy training along with supportive financial ecosystems that encourage sustainable reinvestment practices.
Penerapan Jadwal Amortisasi dan Dana Pelunasan pada Kredit Perumahan Rakyat (KPR) Bobby Putra Delon Togatorop; Arnah Ritonga; Lestari Novianti Sinurat; Monica Triyuni Sinaga; Widya Kartini Pangaribuan
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 2 (2025): Agustus: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i2.6970

Abstract

This study aims to examine the use of amortization schedules and the repayment fund approach in Public Housing Credit. By applying quantitative descriptive methods and a case study approach, this study simulates a mortgage with a credit ceiling of Rp163,800,000, a tenor of 15 years, and an interest rate of 5.65% for the first to fifth year and 13% for the sixth to fifteenth year. The results of the simulation show that without any additional strategies, the total interest to be paid reaches Rp138,887,134.14, which is almost equivalent to the total principal loan. However, by using a sinking fund strategy through regular savings of Rp1,000,000 every month (with an interest rate of 0.25% per month) for 5 years, the collected funds are Rp64,444,800 which significantly reduces the remaining principal loan. As a result, the total interest is reduced to Rp87,864,324.85, which means there is a savings of Rp51. 022. 809.29. Furthermore, this strategy has the potential to shorten repayment time. In conclusion, sinking funds are an effective approach to reducing interest burden and accelerating the repayment of Public Housing Loans.
Analisis Perbandingan Model Diskrit dan Kontinu dalam Prediksi Biaya Hidup Mahasiswa Selama Masa Studi Adinda Saputri; Arnah Ritonga; Alya Dwi Lestari; Kenjo Oktaviano Damanik; Riby Tamara
JURNAL RISET RUMPUN MATEMATIKA DAN ILMU PENGETAHUAN ALAM Vol. 4 No. 2 (2025): Agustus: Jurnal Riset Rumpun Matematika dan Ilmu Pengetahuan Alam
Publisher : Pusat riset dan Inovasi Nasional

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55606/jurrimipa.v4i2.7018

Abstract

This study aims to compare the results of student living cost estimates over a four-year study period using two approaches in financial mathematics, namely the discrete model and the continuous model. The background of the study is based on the need for students to manage their personal finances effectively amidst rising living costs due to inflation. The discrete model is used to predict expenses at certain time intervals, while the continuous model assumes that changes in the value of money occur continuously at all times. This study uses a quantitative descriptive-comparative method with controlled simulations on 100 student data with variations in monthly living costs between Rp2,000,000–Rp4,000,000 and a random inflation rate of 0%–20%. The data were analyzed using discrete and continuous growth formulas, then a Paired Sample t-Test was performed to determine significant differences between the two models. The results show that both models produce very similar living cost estimates with an average difference of only about 1–3% of the total four-year costs. The continuous model produces slightly higher results than the discrete model due to its exponential and continuous nature of calculations. However, the statistical test results showed a p-value > 0.05, indicating no statistically significant difference between the two. Practically, both approaches can be used equally in student financial planning, with the discrete model being more appropriate for short-term projections and the continuous model being more appropriate for long-term projections.
Co-Authors Adinda Saputri Agum Tumanggor Aiman Hidayat Baeha Alya Dwi Lestari Arief Rachman Asni Al Amini Bobby Putra Delon Togatorop Dina Harianja Ellys Rebecca Simanjuntak Endang Lyfia Saragih Farel Al Azmi Glensius Rayhane Pasaribu Grace Amelia Purba Herdita Br Ginting Hery Judika Lumbantobing Ian Pedrosa Mantap Lumban Gaol Juanda Arief Darmawan Damanik Keisya Amelia Putri Kenjo Oktaviano Damanik Klara Manila Laoli Lestari Novianti Sinurat Livia Mutianda Maisarah Putri Lalyta Siregar Maria Adesuryani Purba Mhd. Fachrizal Monica Tri Yuni Sinaga Monica Triyuni Sinaga Nafasa Zahri Nafisa Naila Lubis Petra Putri Sarinah Pandiangan Riamonda Singarimbun Riby Tamara Rina Intan Amelia Rizka Nabila Damanik Ruth Prima Stevani Nababan Stepanus Simatupang Vany Aisah Panggabean Wahyudi Yhose A Simanjuntak Widya kartini pangaribuan