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INDONESIA
JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI
Published by Universitas Hasanuddin
ISSN : 18581382     EISSN : 26148811     DOI : -
Core Subject : Education,
Jurnal ini mempublikasikan paper-paper original hasil-hasil penelitian dibidang Matematika, Statistika dan Komputasi Matematika.
Arjuna Subject : -
Articles 496 Documents
On quinary semiring and properties of its special subsets Tuhfatul Janan
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35615

Abstract

In this research, we will discuss about quinary semiring and properties of its special subsets. This concept is a generalization of ternary semiring. If ternary semiring only involves 3 elements in multiplication operation, then in quinary semiring there are 5 elements involved. The method in this research is a literature study on articles in international journals. In        this research, some definitions and properties of quinary semiring and some ideals are given, such as prime ideal, completely semiprime ideal, ideal which has insertion property, and prime radical. In addition, special subsets of quinary semiring are defined by  and . Next, we give some properties of these special subsets.
Determinan Balita Stunting di Provinsi Nusa Tenggara Barat Menggunakan Regresi Logistik Biner Multilevel Ananda Rambi; Budyanra Budyanra
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35765

Abstract

Stunting is a form of malnutrition in children that is still a health problem in Indonesia, especially in NTB Province. Based on the results of the SSGI, the prevalence of stunting in children under five years of age in NTB Province was 32.7 percent, up 1.3 percent compared to the previous year. This value has not reached the threshold of 20 percent and the national target of 18.4 percent. This puts NTB Province in the fourth highest position in Indonesia. In 2022, NTB Province recorded the highest percentage in Indonesia for children under six months who received exclusive breastfeeding, which was 79.69 percent. However, the prevalence of stunting in toddlers in NTB Province is still very high. Between districts/cities in NTB Province, there is a fairly high disparity in the prevalence of stunting in children under five years of age. This shows the influence of regions or households so that there is a disparity in the prevalence of stunting in children under five years of age. This study aims to describe the incidence of stunting in toddlers in general and analyze the variables that influence it and its tendencies in NTB Province in 2022 using a multilevel binary regression model. The results of the study showed that the variables of toddler gender, toddler age, history of toddler pneumonia, maternal education level, access to clean drinking water sources, access to proper sanitation, and GRDP per capita had a significant effect
Survival Analysis of Penile Cancer Patients Using Cox-Proportional Hazard and GPT-4 Wiwik Wiyanti
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35774

Abstract

Today, in 2024, the evolution of the evolution of artificial intelligence (AI) is very impressive. An AI product that continues to develop is ChatGPT. The threat of ChatGPT to some job professions is real. Beside that, ChatGPT also helps many professions make their work easier. In this research, we analyze the survival analysis of penile cancer patients. The design of this research is mixed-method (quantitative-qualitative). The quantitative and qualitative methods that were used are Cox-proportional hazards and GPT-4, respectively. Based on quantitative analysis, it can be concluded that the Survival and Hazard model for study penile cancer are  and  , respectively. The predicted chances of survival and death for the patient in stage 2, 14 days after surgery, are 40% and 60%, respectively. Based on qualitative analysis, GPT-4 cannot quantitatively obtain the cox proportional hazard number. However, even so, GPT4 can read the cox proportional hazard output image, providing Python and R survival analysis coding quite perfectly. Thus, the qualitative method's conclusion is that GPT-4 can greatly assist data analysts in their analysis of survival data.
Eskalasi Kualitas Sumber Daya Manusia dalam Resiliensi Kesehatan Nasional melalui Estimasi Parameter Model Multilevel dengan Pendekatan Restricted Maximum Likelihood pada Rataan UTBK 2019 Dhita Hartanti Octavia; Muhammad Ridzky Davala; Nurul Mutiara Annisa
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35781

Abstract

Multilevel modeling or Hierarchical Linear Modeling (HLM) is a statistical approach specifically used to analyze data with a two-level structure. This approach allows an understanding of the contribution of factors at both the individual and group levels to the response variable. One method commonly used in HLM is Restricted Maximum Likelihood (REML). REML is a parameter estimation method that is often applied in statistical models, especially linear models that incorporate random components. This allows more efficient parameter assessment compared to conventional estimation methods. In this research, multilevel model parameter estimation analysis was carried out using the limited maximum likelihood approach. The aim is to determine the multilevel linear regression model on the average UTBK score for health cluster study programs in 2019. This involves selecting the optimal node point based on the minimum Generalized Cross Validation (GCV) and identifying the factors that influence it. Predictor variables considered include interest and capacity of study programs at university level (Level-1), as well as the average UNBK and HDI scores at provincial level (Level-2). The findings of this research indicate that the most appropriate multilevel regression model is formed with three nodes with a minimum GCV value at Level-1 of 864.6593 and at Level-2 of 3.1816. At Level-1, the influencing factor is the interest variable and at Level-2 is the average provincial UNBK score in 2019 and the Human Development Index (HDI).
Estimasi Conditional Value at Risk Pada Perusahaan Sektor Consumer Non-Cyclicals Menggunakan Pendekatan Extreme Value Theory Andi Muhammad Hakam; Andi Kresna Jaya
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35849

Abstract

Conditional Value at Risk (CVaR) is an estimate of the risk of loss that exceeds the Value at Risk (VaR) level. VaR is one of the most commonly used stock risk measurement methods to assess the risk of large investments. Extreme Value Theory (EVT) is a method used to analyze data that contains extreme values. The goal of EVT is to estimate the probability of an extreme event occurring by examining the tails of a distribution based on observed extreme values. There are two general distributions used in EVT, namely Generalized Extreme Value (GEV) and Generalized Pareto Distribution (GPD). This research aims to determine the estimated level of loss that investors may experience when investing in PT Hanjaya Mandala Sampoerna Tbk (HMSP) and PT Japfa Comfeed Indonesia Tbk (JPFA). The L-Moment method is applied to estimate the parameters in this distribution so that an explicit parameter form is obtained. Based on CVaR analysis using the Block Maxima (BM) approach, investors in HMSP and JPFA are estimated to experience losses of 20.0752% and 29.6537% respectively. Using the Peaks Over Threshold (POT) approach, the estimated losses are 0.966% and 1.548% for HMSP and JPFA, respectively. Based on CVaR calculations using both approaches, the POT approach with GPD provides a more accurate and reliable investment risk estimate than the BM approach with GEV distribution
Turunan Fraksional dari Fungsi Hiperbolik Syifaul Janan; Tuhfatul Janan
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35860

Abstract

Fractional derivative is a generalization of ordinary derivative with non-integer or fractional order. This research presented fractional derivative of hyperbolic function (hyperbolic sine, hyperbolic cosine, hyperbolic tangent, hyperbolic cotangent, hyperbolic secant, and hyperbolic cosecant) with order constraint . The hyperbolic function is presented in Maclaurin series form. Then, the fractional derivative can be determined by using definition of Riemann-Liouville fractional derivative. The result is simulated by using Matlab software
Long Short-Term Memory and Gated Recurrent Unit Modeling for Stock Price Forecasting Nurul Khairunisa Khairunisa; Putriaji Hendikawati
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35930

Abstract

The rapid advancement of deep learning technology offers significant benefits, particularly for time series data forecasting. LSTM and GRU are two deep learning methods used for forecasting. This study aims to compare the LSTM and GRU methods in predicting the stock prices of PT Mayora Indah Tbk, listed on the Indonesia Stock Exchange (IDX), accessed through Yahoo Finance. The model architecture was developed using combinations of data splitting, learning rate, epoch count, and neuron count. The combinations used in this study include data splits of 70:30 and 80:20, with varying parameter combinations of learning rates at 0.01, 0.001, and 0.0001, epoch counts of 50, 100, and 150, and neuron counts of 50 and 100. The results indicate that the GRU method outperforms the LSTM method in prediction accuracy. The RMSE and MAPE tests show that the GRU method yields RMSE and MAPE of 34.4233 and 1.27%, respectively, compared to the LSTM method with RMSE and MAPE of 35.3775 and 1.28%. The best GRU architecture was achieved with a learning rate of 0.001, 50 neurons, and 150 epochs, while the best LSTM architecture was achieved with a learning rate of 0.001, 100 neurons, and 150 epochs. The optimal architecture for both methods was found with a data split of 70:30
Eksplorasi Estetika Matematika melalui Berpikir Logis dan Kritis Abdillah Khofial Luthfi; Miftahul Jannah; Rachel Aura Azzahra; Abd Kadir Jaelani; Ilhamuddin Ilhamuddin; Fathrul Arriah
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.35972

Abstract

This study aims to explore the logical and critical thinking process of junior high school students in solving ill-structured problems based on mathematics ability. The research subject consisted of one student with high mathematics ability. The supporting instruments for data collection were: 1) Test of Mathematical Ability (TKM) consisting of 10 items in the form of descriptions to select subjects with high mathematical ability, 2) Ill-structured Problem Task (TMI), 3) Interviewing the subject based on the task (TMI). The data analysed in this study are interview transcript data, document data and field notes. This study used three stages in data analysis, namely data condensation, data display and conclusion drawing and verification. To validate the findings, the author applied method triangulation until consistent data was obtained, i.e. the data was structured and the content was relatively the same. Furthermore, consistent data in this study is categorised as research data. The results showed that the logical and critical thinking process of high mathematics ability students in solving ill-structured problems consisted of: (1) problem representation; (2) Generating Solution; (3) Justification; and (4) Monitoring and Evaluation. Based on the results of research related to the exploration of mathematical aesthetics through logical and critical thinking, it is recommended as material for further research development in terms of other aspects
Pendugaan Area Kecil untuk Persentase Anak Usia 7—17 Tahun yang Tidak Sekolah Level Kabupaten/Kota di Pulau Sumatera Tahun 2023 Wisly Ryanr Elieze; Aisyah 'Azizah Nur Rahmah; Karina Himalaya; Afidita Nabila Putri; Aditya Prameswara Achmadi; Azka Ubaidillah; Shafiyah Asy Syahidah
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.36043

Abstract

Ensuring the quality of education is a fundamental commitment towards achieving sustainable development goals (SDGs). One effective strategy to enhance education quality is addressing the high number of children out of school. More precise district/city-level data on the percentage of out-of-school children needs to be provided. Estimation results from Susenas data show that Sumatra Island has the highest proportion of districts/cities with a Relative Standard Error (RSE) of over 25% compared to other islands in Indonesia. Therefore, this study applies Hierarchical Bayes (HB) Beta method by utilizing accompanying variables. The research reveals that the HB Beta estimator is the most effective in estimating the percentage of out-of-school children aged 7—17 years at the district/city level on Sumatra Island. The Small Area Estimation (SAE) model offers a more precise estimate than the direct estimator. Furthermore, there are 25 districts/cities with a high percentage of children aged 7—17 years who are not in school, with the majority located in the southern region of Sumatra Island
LOG-RANK TEST SEBAGAI LANJUTAN DARI METODE KAPLAN-MEIER DALAM ANALISIS SURVIVAL MENGGUNAKAN BAHASA R (Studi Kasus: Treatment D-penicillamine terhadap Peluang Tahan Hidup Pasien Primary Biliary Cirrhosis (PBC) di Mayo Clinic) Ferennia Putri; BAP Martadiputra; Lukman Lukman
Jurnal Matematika, Statistika dan Komputasi Vol. 21 No. 1 (2024): SEPTEMBER 2024
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/j.v21i1.36073

Abstract

From 1974 to 1984, Mayo Clinic conducted a D-penicillamine trial to improve the chances of survival of PBC patients. Mayo Clinic conducted a randomized placebo-controlled trial on patients to compare D-penicillamine with D-penicillamine. Mayo Clinic considered other variables besides the time of death or censored time in its study, namely the variables of Ascites, Hepatomegaly, Spider or the presence of esophageal varices, and other PBC symptom variables. Therefore, the author conducted this study to find out D-penicillamine as a drug treatment for PBC by only looking at the variable of time of death or censored time and the variable of drug treatment received by patients during the ten-year data collection period and completing the study with statistical science. Based on that, the author used survival analysis with the Kaplan-Meier and Log-Rank methods to find D-penicillamine as a PBC drug treatment. This study shows how to complete the analysis using the R language. The study results showed that D-penicillamine treatment was not good enough to increase the survival chances of PBC patients