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Model Regresi Spasial dan Aplikasinya pada Kasus Tingkat Kemiskinan Kabupaten Soppeng Anggi Ananda Putri; Wahidah Sanusi; Sukarna Sukarna
Indonesian Journal of Fundamental Sciences Vol 4, No 2 (2018)
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (362.492 KB) | DOI: 10.26858/ijfs.v4i2.7638

Abstract

Poverty is one of the major problem that frequently faced by human. Begin from poverty, consequently emerged several social issues, such as homeless, beggar, defendant, and prostitution. On this research were conducted modeling poverty degree in Soppeng with using number of poor household as the dependent variable. Modeling were done by using area approach which is a Spatial Autoregressive (SAR) model and Spatial Error Model (SEM). As for the independent variable used on this research is the number of health services, school facility, population density, social well being disable, and the distance on village and centre of Soppeng.  Regarding to the analysis of Spatial Autoregressive (SAR) and Spatial Error Model (SEM) shows that there is a spatial dependency lag and error on number of poor household variable. As for the independent variable which have the significancy account for 5% on Spatial Autoregressive (SAR) and Spatial Error Model (SEM) are every variables with a number R2= 90,9% on SAR and R2= 90,1% on SEM.
ESTIMATING AND FORECASTING COVID-19 CASES IN SULAWESI ISLAND USING GENERALIZED SPACE-TIME AUTOREGRESSIVE INTEGRATED MOVING AVERAGE MODEL Sukarna Sukarna; Nurul Fadilah Syahrul; Wahidah Sanusi; Aswi Aswi; Muhammad Abdy; Irwan Irwan
MEDIA STATISTIKA Vol 15, No 2 (2022): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.15.2.186-197

Abstract

A range of spatio-temporal models has been used to model Covid-19 cases. However, there is only a small amount of literature on the analysis of estimating and forecasting Covid-19 cases using the Generalized Space-Time Autoregressive Integrated Moving Average (GSTARIMA) model. This model is a development of the GSTARMA model which has non-stationary data. This paper aims to estimate and forecast the daily number of Covid-19 cases in Sulawesi Island using GSTARIMA models. We compared two models namely GSTARI and GSTIMA considering the root mean square error (RMSE). Data on a daily number of Covid-19 cases (from April 10, 2020, to May 07, 2021) were used. The location weight used is the inverse distance weight based on the distance between airports in the capital cities of each province. The appropriate models obtained based on the data are the GSTARIMA (1;0;1;1) model and the GSTARIMA (1;1;1;0) model. The results showed that the forecast for the number of new Covid-19 cases is accurate and reliable only for the short term.
The NADI Mathematical Model on the Danger Level of the Bili-Bili Dam Sukarna Sukarna; Andi Muhammad Ridho Yusuf Sainon Andin P; Syafruddin Side; Aswi Aswi; Supriadi Yusuf
Jurnal Varian Vol 6 No 2 (2023)
Publisher : Universitas Bumigora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30812/varian.v6i2.2237

Abstract

The research discusses the NADI mathematical model due to the overflow of the Bili-Bili dam, using secondary data obtained through online literature review by collecting various information related to the Bili-Bili Dam, starting from the Jeberang River Scheme, the chronology of floods, normal or dry conditions, and dam operation patterns. The aim of this study is to predict the level of danger of Bili-bili dam overflow over time, considering extreme weather factors and standard operating procedures performed by humans. The research uses analytical and computational methods. The study obtained the NADI mathematical model due to the overflow of the Bili-Bili dam, with two equilibrium points: (1) the equilibrium point free of disaster, (2) the disaster equilibrium point, and a basic disaster reproduction number of R0 = 1.219. This indicates that the water discharge from the dam is high and has an impact on the overflowing water for communities around the Jeneberang river. Therefore, it can be concluded that the NADI model can be used to simulate the Bili-bili dam process based on extreme weather and dam SOP, and predict the level of danger of Bili-bili dam overflow, which is also a novelty that has not been done in previous studies.
The Effect of Implementing the Learning Model to Develop Metacognitive Ability (PMKM) on Learning Outcomes and Learning Independence of Ninth Grade Junior High School Mathematics Students Abdul Rahman; Sukarna Sukarna; Muh. Hidayatullah Dwi Putra
SAINSMAT: Journal of Applied Sciences, Mathematics, and Its Education Vol. 12 No. 1 (2023)
Publisher : PT Mattawang Mediatama Solution

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35877/sainsmat1774

Abstract

This study aims to determine the effect of Learning to Develop Metacognitive Ability (PMKM) model on learning outcomes and students' independence in learning mathematics. This research is pre-experimental study conducted in class IX use cluster random sampling with 24 students as the research sample. Data collection was carried out using a learning achievement test and learning independence questionnaire. The data analysis technique used are descriptive and inferential statistical analysis techniques. The results of descriptive statistical analysis are: (1) The average score of student learning outcomes before the application of PMKM model is 24.57 which is in very low category, (2) The average score of student learning outcomes after the application of PMKM model is 86.71 which means is in high category, (3) the independence of student learning before the application of the PMKM model is in fairly independent category or with average score of 41.75, (4) the independence of student learning after the application of the PMKM model is in independent category or with average score 62,20. Meanwhile, the results of inferential statistical analysis show that the application of PMKM model has a positive effect on learning outcomes and learning independence of class IX junior high school students.
Efektivitas Penerapan Model Problem Based Learning Berbantuan Media Audio-Visual Terhadap Pemahaman Konsep Matematika Nasrullah Nasrullah; Sukarna Sukarna; Sitti Hasna
Issues in Mathematics Education (IMED) Vol 7, No 2 (2023): September
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/imed51348

Abstract

Penelitian ini bertujuan untuk mengetahui efektivitas dan perbandingan efektivitas dari model problem based learning berbantuan media audio-visual dan model pembelajaran langsung ditinjau dari pemahaman konsep matematika siswa di SMP Negeri 3 Sengkang. Jenis penelitian ini adalah quasi- eksperimen dengan desain non-equivalent pretest-posttest control group. Populasi dalam penelitian iniadalah siswa kelas VIII SMP Negeri 3 Sengkang (Semester II) sebanyak 5 kelas. Pengambilan sampel menggunakan teknik cluster random sampling yaitu kelas VIII-A dan kelas VIII-C sebanyak 48 orang sebagai kelas eksperimen dan kelas kontrol. Instrumen yang digunakan dalam penelitian ini adalah instrumen tes dan instrumen nontes yang telah divalidasi oleh dosen pendidikan matematika dengan hasil valid dan dapat digunakan. Hasil penelitian menunjukkan bahwa: (1) pembelajaran dengan menerapkan model problem based learning berbantuan media audio-visual efektif ditinjau dari pemahaman konsep matematika siswa dengan rata-rata hasil pemahaman konsep siswa dengan model problem basedlearning berbantuan media audio-visual sebesar 82,17 dengan kategori sangat tinggi dan mancapai ketuntasan klasikal yakni 83%, (2) pembelajaran dengan model pembelajaran langsung kurang efektif ditinjau dari pemahaman konsep matematika siswa dengan rata-rata hasil pemahaman konsep siswa dengan model pembelajaran langsung sebesar 62,00 dengan kategori sedang dan tidak mencapai ketuntasal klasikal yakni 24%, (3) model problem based learning berbantuan media audio-visual lebih efektif diterapkan dibandingkan dengan model pembelajaran langsung ditinjau dari pemahaman konsep matematika.Kata Kunci : efektivitas, pemahaman konsep, model problem based learning, media audio-visualhis study aims to determine the effectiveness and comparative effectiveness of problem-based learning models assisted with audio-visual media and direct learning models in terms of understanding mathematical concepts of students of SMP Negeri 3 Sengkang. This type of study is a pseudo-experiment with an unbalanced pretest-posttest control group design. The population in this study were students of grade VIII SMP Negeri 3 Sengkang (Semester II) as many as 5 classes. Sampling using cluster random sampling techniques namely Class VIII - A and Class VIII-C involved as many as 48 people as experimental class and control class. The instruments used in this study are test instruments and non-test instruments that have been validated by mathematics education lecturers with valid and useful results. The results showed that: (1) Learning by applying problem-based learning model assisted by audio-visual media is effective in terms of understanding mathematical concepts of students with an average of studentunderstanding of the concept of problem-based learning model assisted by audio-visual media of 82.17 with a very high category and achieve classical completion of 83%, (2) Learning with direct learning model is less effective in terms of understanding mathematical concepts of students with an average understanding of the concept of students with direct learning model of 62.00 with the medium category and did not achieve a classical completion of 24%, (3) problem-based learning model assisted by audio- visual media is more effectively applied than direct learning model in terms of understanding mathematical concepts.Keywords: effectiveness, concept understanding, problem-based learning model, audio visual media.
Pemetaan Risiko Relatif Kasus Stunting di Provinsi Sulawesi Selatan Aswi Aswi; Sukarna Sukarna; Nurhilaliyah Nurhilaliyah
Sainsmat : Jurnal Ilmiah Ilmu Pengetahuan Alam Vol. 11 No. 1 (2022): Volume 11 Nomor 1 (Maret 2022)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

ndonesia is a country with the third-highest prevalence of stunting in the Southeast Asian region. South Sulawesi Province, one of the provinces in Indonesia, has a fairly high number of stunting cases. The implementation of the Bayesian Spatial Conditional Autoregressive (CAR) model in estimating the relative risk (RR) of stunting cases has not been carried out in Indonesia, especially in South Sulawesi Province. This study aims to determine the relative risk of stunting cases by using the Bayesian spatial CAR Leroux model and to build a thematic map of the relative risk of stunting cases in all districts/cities in South Sulawesi Province. The results show that the Bayesian spatial CAR Leroux model with hyperprior IG(0.5; 0.0005) is the best model based on the criteria used. Toraja district, Parepare City, and Enrekang district are the three districts/cities with the highest relative risk of stunting. On the other hand, Gowa district, Makassar City, and Pinrang district are the three regions with the lowest relative risk of stunting.