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All Journal Jurnal Matematika dan Statistika serta Aplikasinya (Jurnal MSA) BAREKENG: Jurnal Ilmu Matematika dan Terapan Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Indonesian Journal of Fundamental Sciences
Thaha, Irwan
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Chemical Engineering, Chemistry & Bioengineering Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Economics, Econometrics & Finance Electrical & Electronics Engineering Energy Engineering Environmental Science Immunology & microbiology Materials Science & Nanotechnology Mathematics Mechanical Engineering Medicine & Pharmacology Physics Transportation

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Perbandingan Penggerombolan Tingkat Pencemaran Udara dengan K- Medoid dan CLARA berdasarkan Indeks Kualitas Udara (IKU) di Provinsi Sulawesi Selatan Thaha, Irwan; Wahyuni, Maya Sari; Sutamrin, Sutamrin; Mu’adz, A. Muhammad
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2024): Sustainable Development Goal in Mathematics and Mathematics Education
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i1.3074

Abstract

Analisis statistika multivariat yang pada akhirnya menghasilkan sejumlah gerombol. Pengelompokan dilakukan pada objek/pengamatan (baris) dalam data yang memiliki kemiripan sangat besar dengan objek/pengamatan lainnya dalam satu gerombol. Kemiripan tersebut diukur menggunakan jarak euclidean. Analisis gerombol terbagi menjadi dua yaitu hierarki dan non-hierarki. Penelitian ini menerapkan analisis gerombol non-hierarki yaitu metode k-medoid untuk menggerombolkan kabupaten/kota beserta empat sektornya yaitu transportasi, industri/agro industri, pemukiman, perkantoran/komersial di Provinsi Sulawesi Selatan berdasarkan indikator penyusun nilai Indeks Kualitas Udara (IKU) tahun 2019 dan 2020. IKU ditetapkan sebagai salah satu instrumen untuk mengukur tingkat pencemaran udara di suatu wilayah, baik secara nasional maupun di Provinsi dan Kabupaten/Kota. IKU dikategorikan berdasarkan enam status Indeks Kualitas Lingkungan Hidup (IKLH). Untuk mendapatkan hasil gerombol dari metode k-medoid dan CLARA maka dilakukan penggerombolan berdasarkan perhitungan nilai IKU yaitu k = 6. Peneliti menggunakan confusion matrix untuk membandingkan hasil gerombol berdasar hasil gerombol metode k-medoid dan CLARA.. Dari penelitian yang dilakukan diperoleh hasil algoritma k-medoid untuk data 2019 maupun 2020 memiliki presentase Accuracy, Precision dan Recall lebih tinggi dibanding metode CLARA. Hasil tersebut membuktikan bahwa metode k-medoid mempunyai performa lebih baik bila dibandingkan dengan CLARA, karena mempunyai tinngkat akurasi dan recall lebih tinggi bila dibandingkan dengan CLARA. Itu disebabkan karena CLARA tergantung pada pemilihan dan ukuran sampel.
Faktor Konfirmatori Permainan Trapoly untuk Mengurangi Gangguan Kesehatan Mental Remaja di Makassar Thaha, Irwan; Husna, Asmaul; Yusfitasari, Yusfitasari; Inayah, Nur Aulia; Mawaddah, Arini Ulfa; Ali, Muh.Yusuf
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.3738

Abstract

This study aims to analyze the factors that cause adolescent mental health disorders in Makassar City and evaluate the effectiveness of Trapoly games in reducing the rate of mental health disorders among these adolescents. The population of this study consisted of adolescents aged 15-19 years in Makassar City with a sample of 399 randomly selected people. The research phase involved the distribution of questionnaires including the DASS-21 scale as well as instruments for measuring factors causing adolescent mental health disorders and Trapoly playing experience, followed by Exploratory Factor Analysis (EFA), Confirmatory Factor Analysis (CFA) and t-test tests. The results of EFA research show that social interaction factors, product quality factors, emotional intelligence factors, interactive factors, social influence factors and individual characteristic factors affect the effectiveness of Trapoly games. Furthermore, CFA identified the factors that most influence adolescent mental health disorders in Makassar City are school environment factors and peer environment factors and the factors that most affect the effectiveness of Trapoly games are social influence factors. The t-test analysis confirmed a significant difference between the rates of adolescent mental health problems before and after playing Trapoly. The results highlighted that Trapoly game has the potential to reduce the rate of adolescent mental health disorders in Makassar City.
PENERAPAN MODEL REGRESI PADA DATA PERSENTASE KASUS BAYI LAHIR DENGAN BERAT BADAN RENDAH DI SULAWESI SELATAN Sanusi, Wahidah; Thaha, Irwan; Pertiwi, Ika
Indonesian Journal of Fundamental Sciences Vol 10, No 1 (2024)
Publisher : Universitas Negeri Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26858/ijfs.v10i1.59281

Abstract

Penelitian ini bertujuan untuk mengidentifikasi faktor-faktor yang signifikan berpengaruh terhadap persentase kasus bayi lahir dengan berat badan rendah di Sulawesi Selatan dengan menggunakan model regresi. Model regresi yang digunakan adalah model regresi klasik, dan model regresi spasial, yaitu model Spatial Autoregressive (SAR) dan model Spatial Error (SEM). Data yang digunakan dalam penelitian ini adalah data persentase kasus bayi lahir dengan berat badan rendah di 24 kab/kota provinsi Sulawesi Selatan tahun 2020 sebagai variabel respon, sementara variabel prediktor adalah persentase ibu hamil yang mengalami komplikasi kehamilan, persentase ibu hamil yang melakukan pemeriksaan rutin, dan persentase ibu hamil yang mengkonsumsi tablet tambah darah. Data ini diperoleh dari Dinas Kesehatan Provinsi Sulawesi Selatan. Berdasarkan hasil penerapan model regresi diperoleh bahwa tidak ada dependensi spasial antar wilayah baik dalam lag maupun errornya, sehingga model regresi klasik merupakan model terbaik pada persentase kasus bayi lahir dengan berat badan rendah di Provinsi Sulawesi Selatan dengan nilai koefisien determinasi sebesar 30%.  Adapun  faktor yang berpengaruh secara signifikan terhadap persentase kasus bayi lahir dengan berat badan rendah berdasarkan model regresi klasik adalah persentase ibu hamil yang melakukan pemeriksaan rutin, dan persentase ibu hamil yang mengkonsumsi tablet tambah darah.
SOLUSI PERMASALAHAN PHUBBING REMAJA AKIBAT KECANDUAN SMARTPHONE MELALUI PENERAPAN NILAI SIPAKATAU, SIPAKAINGE, SIPAKALEBBI DENGAN ANALISIS MODEL MATEMATIKA DI KOTA MAKASSAR Thaha, Irwan; Oeitama, Whannie Youngger; Badawia, Annisa Nur; Topayung, Monalisa; Nasrul, Muhammad
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Sains Matematika dan Pendidikan Matematika
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4739

Abstract

Phubbing is a social problem caused by various factors, one of which is smartphone addiction. This research aims to build a SEAR mathematical model of phubbing problems among adolescents due to smartphone addiction, analyse and simulate the model to predict the number of phubbing cases in Makassar City, and find parameter solutions to this problem. The population in this study consists of adolescents aged 10-14 years in Makassar City, with a sample size of 399 people. The research stages carried out were: building a SEAR model of the phubbing problem, determining the equilibrium point, analysing the stability of the equilibrium point, determining the value of the basic reproduction number , carrying out model simulations using Maple, and interpreting the simulation results. In this paper, it is obtained a SEAR mathematical model for the problem of phubbing; two equilibrium points, namely the phubbing-free and the phubbing equilibrium point; stability of the phubbing-free and phubbing equilibrium point; and the basic reproduction number 3.459 which shows that phubbing cases occur in adolescents with a percentage increase of 1.3% every year. Based on the model simulation, the results obtained show that the parameter solutions in the form of applying the 3S values can reduce the rate of phubbing due to smartphone addiction among adolescents in Makassar City.
Perbandingan Penggerombolan Tingkat Pencemaran Udara dengan K- Medoid dan CLARA berdasarkan Indeks Kualitas Udara (IKU) di Provinsi Sulawesi Selatan Thaha, Irwan; Wahyuni, Maya Sari; Sutamrin, Sutamrin; Mu’adz, A. Muhammad
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 1 (2024): Sustainable Development Goal in Mathematics and Mathematics Education
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i1.3074

Abstract

Analisis statistika multivariat yang pada akhirnya menghasilkan sejumlah gerombol. Pengelompokan dilakukan pada objek/pengamatan (baris) dalam data yang memiliki kemiripan sangat besar dengan objek/pengamatan lainnya dalam satu gerombol. Kemiripan tersebut diukur menggunakan jarak euclidean. Analisis gerombol terbagi menjadi dua yaitu hierarki dan non-hierarki. Penelitian ini menerapkan analisis gerombol non-hierarki yaitu metode k-medoid untuk menggerombolkan kabupaten/kota beserta empat sektornya yaitu transportasi, industri/agro industri, pemukiman, perkantoran/komersial di Provinsi Sulawesi Selatan berdasarkan indikator penyusun nilai Indeks Kualitas Udara (IKU) tahun 2019 dan 2020. IKU ditetapkan sebagai salah satu instrumen untuk mengukur tingkat pencemaran udara di suatu wilayah, baik secara nasional maupun di Provinsi dan Kabupaten/Kota. IKU dikategorikan berdasarkan enam status Indeks Kualitas Lingkungan Hidup (IKLH). Untuk mendapatkan hasil gerombol dari metode k-medoid dan CLARA maka dilakukan penggerombolan berdasarkan perhitungan nilai IKU yaitu k = 6. Peneliti menggunakan confusion matrix untuk membandingkan hasil gerombol berdasar hasil gerombol metode k-medoid dan CLARA.. Dari penelitian yang dilakukan diperoleh hasil algoritma k-medoid untuk data 2019 maupun 2020 memiliki presentase Accuracy, Precision dan Recall lebih tinggi dibanding metode CLARA. Hasil tersebut membuktikan bahwa metode k-medoid mempunyai performa lebih baik bila dibandingkan dengan CLARA, karena mempunyai tinngkat akurasi dan recall lebih tinggi bila dibandingkan dengan CLARA. Itu disebabkan karena CLARA tergantung pada pemilihan dan ukuran sampel.
Faktor Konfirmatori Permainan Trapoly untuk Mengurangi Gangguan Kesehatan Mental Remaja di Makassar Thaha, Irwan; Husna, Asmaul; Yusfitasari, Yusfitasari; Inayah, Nur Aulia; Mawaddah, Arini Ulfa; Ali, Muh.Yusuf
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 7 No. 2 (2024): Menjembatani Matematika dan Pendidikan Matematika menuju Pemanfaatan Berkelanju
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v7i2.3738

Abstract

This study aims to analyze the factors that cause adolescent mental health disorders in Makassar City and evaluate the effectiveness of Trapoly games in reducing the rate of mental health disorders among these adolescents. The population of this study consisted of adolescents aged 15-19 years in Makassar City with a sample of 399 randomly selected people. The research phase involved the distribution of questionnaires including the DASS-21 scale as well as instruments for measuring factors causing adolescent mental health disorders and Trapoly playing experience, followed by Exploratory Factor Analysis (EFA), Confirmatory Factor Analysis (CFA) and t-test tests. The results of EFA research show that social interaction factors, product quality factors, emotional intelligence factors, interactive factors, social influence factors and individual characteristic factors affect the effectiveness of Trapoly games. Furthermore, CFA identified the factors that most influence adolescent mental health disorders in Makassar City are school environment factors and peer environment factors and the factors that most affect the effectiveness of Trapoly games are social influence factors. The t-test analysis confirmed a significant difference between the rates of adolescent mental health problems before and after playing Trapoly. The results highlighted that Trapoly game has the potential to reduce the rate of adolescent mental health disorders in Makassar City.
SOLUSI PERMASALAHAN PHUBBING REMAJA AKIBAT KECANDUAN SMARTPHONE MELALUI PENERAPAN NILAI SIPAKATAU, SIPAKAINGE, SIPAKALEBBI DENGAN ANALISIS MODEL MATEMATIKA DI KOTA MAKASSAR Thaha, Irwan; Oeitama, Whannie Youngger; Badawia, Annisa Nur; Topayung, Monalisa; Nasrul, Muhammad
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 1 (2025): Integrasi Matematika, Teknologi, dan Budaya dalam Pendidikan dan Aplikasi Terap
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i1.4739

Abstract

Phubbing is a social problem caused by various factors, one of which is smartphone addiction. This research aims to build a SEAR mathematical model of phubbing problems among adolescents due to smartphone addiction, analyse and simulate the model to predict the number of phubbing cases in Makassar City, and find parameter solutions to this problem. The population in this study consists of adolescents aged 10-14 years in Makassar City, with a sample size of 399 people. The research stages carried out were: building a SEAR model of the phubbing problem, determining the equilibrium point, analysing the stability of the equilibrium point, determining the value of the basic reproduction number , carrying out model simulations using Maple, and interpreting the simulation results. In this paper, it is obtained a SEAR mathematical model for the problem of phubbing; two equilibrium points, namely the phubbing-free and the phubbing equilibrium point; stability of the phubbing-free and phubbing equilibrium point; and the basic reproduction number 3.459 which shows that phubbing cases occur in adolescents with a percentage increase of 1.3% every year. Based on the model simulation, the results obtained show that the parameter solutions in the form of applying the 3S values can reduce the rate of phubbing due to smartphone addiction among adolescents in Makassar City.
APPLICATION OF THE GENERALIZED SPACE TIME AUTOREGRESSIVE (GSTAR) METHOD IN FORECASTING THE CONSUMER PRICE INDEX IN FIVE CITIES OF SOUTH SULAWESI PROVINCE Zaki, Ahmad; Shafruddin, Lutfiah; Thaha, Irwan
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 19 No 1 (2025): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol19iss1pp375-384

Abstract

Changes in the Consumer Price Index (CPI) over time reflect the rate of increase (inflation) or decrease (deflation) of goods and services for daily household needs. The CPI and inflation serve as barometers for economic growth stability, as controlled inflation can increase people's purchasing power over time. According to the Central Statistics Agency (2023), in December, the year-on-year (y-o-y) inflation for five cities in South Sulawesi (Bulukumba, Watampone, Makassar, Parepare, and Palopo) was 2.81 percent, with a CPI of 117.35. Of the five cities, the highest y-o-y inflation occurred in Makassar at 2.89 percent, with a CPI of 117.49, while the lowest y-o-y inflation occurred in Palopo at 2.21 percent, with a CPI of 115.60. CPI forecasting is one way to predict future inflation values. This study aims to develop the best GSTAR model for forecasting CPI data for five cities in South Sulawesi, a topic that has not been extensively covered in previous research. The goal is to provide valuable information for maintaining CPI stability in South Sulawesi and to support the formulation of better economic policies. The study focuses on five cities within South Sulawesi, where direct relationships between cities are possible, allowing the spatial model to be limited to the first-order. The data used in this study consists of monthly CPI data from January 2014 to March 2023. The location weights used in the model include uniform weights, inverse distances, and normalized cross-correlations. The model development steps include testing for data stationarity, determining the space-time sequence, calculating location weights, estimating parameters, testing model adequacy, comparing Root Mean Square Error (RMSE), and selecting the best model for forecasting. The best GSTAR model found is GSTAR (1;1)-I(2) with inverse distance weighting, which yielded the smallest RMSE value. The results show that the forecasted values closely match the actual values for each city from March to September 2023.
Penggunaan Partitioning Around Medoids (PAM) dalam Klasterisasi Tingkat Kesejahteraan Kabupaten/Kota di Provinsi Sulawesi Selatan Thaha, Irwan; Ja'faruddin, Ja'faruddin; Ningsih, Rika Rahayu
Proximal: Jurnal Penelitian Matematika dan Pendidikan Matematika Vol. 8 No. 4 (2025): Volume 8 Nomor 4 Tahun 2025
Publisher : Universitas Cokroaminoto Palopo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30605/proximal.v8i4.7083

Abstract

Penelitian ini merupakan penelitian kuantitatif untuk mengelompokkan Tingkat Kesejahteraan Kabupaten/Kota di Provinsi Sulawesi Selatan menggunakan metode PAM. Algoritma PAM yang biasa dikenal dengan K-Medoids adalah algoritma yang mengimplementasikan objek yaitu medoid sebagai pusat di setiap klaster. Data yang digunakan pada penelitian ini adalah Umur Harapan Hidup (X1), Angka Melek Huruf  (X2), Persentase Pengeluaran Per Kapita Untuk Makanan (X3), Persentase Penduduk Miskin (X4), Tingkat Partisipasi Angkatan Kerja (X5), dan Gini Rasio (X6) di Sulawesi Selatan Tahun 2023 yang didapat dari  website Badan Pusat Statistik. Data dianalisis dengan mencoba beberapa jumlah klaster k=2,3,4 dan 5 dan dievaluasi menggunakan metode Silhouette Coefficient untuk menentukan jumlah klaster yang paling optimal. Hasil penelitian menunjukkan penerapan algoritma PAM menghasilkan nilai Sillhouette Coefficient sebesar 0,31 dengan jumlah k sebanyak 2 klaster. Klaster 1 terdiri 8 kabupaten/kota yaitu Kep. Selayar, Jeneponto, Pangkajene dan Kepulauan, Enrekang, Luwu, Tana Toraja, Luwu Utara, dan Toraja Utara dengan karakteristik  (X1), (X2), dan  (X5) bernilai rendah, sedangkan (X3), (X4), dan (X6) bernilai tinggi. Klaster 2 terdiri dari 16 kabupaten/kota yaitu Bulukumba, Bantaeng, Takalar, Gowa, Sinjai, Maros, Barru, Bone, Soppeng, Wajo, Sidenreng Rappang, Pinrang, Luwu Timur, Kota Makassar, Kota Palopo, dan Kota Pare-Pare dengan karakteristik (X1), (X2), dan  (X5) yang Tinggi, sedangkan (X3), (X4), dan (X6) bernilai rendah.
Application of ST-DBSCAN Algorithm in Clustering Earthquake Points in Sulawesi Region Sutamrin; Thaha, Irwan; Nur Insani Maiwa
Jurnal MSA (Matematika dan Statistika serta Aplikasinya) Vol 13 No 2 (2025): VOLUME 13 NO 2, 2025
Publisher : Universitas Islam Negeri Alauddin Makassar

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24252/msa.v13i2.61832

Abstract

Clustering is a method in data mining that aims to group data based on certain similarities or characteristics. One of the clustering methods or algorithms is the Spatial-Temporal Density-Based Spatial Clustering of Applications with Noise (ST-DBSCAN) algorithm. This algorithm was chosen because of its ability to analyse data based on spatial and temporal dimensions simultaneously, using the parameters of spatial distance (ε₁), temporal distance (ε₂), and minimum number of points (MinPts). This study aims to determine the results of the ST-DBSCAN algorithm in clustering earthquake points in the Sulawesi Region. The data analysed is secondary data obtained from the Meteorology, Climatology and Geophysics Agency (BMKG) for the period 2019-2023, covering 12109 earthquake points with magnitude ≥ 3 on the Richter scale. The results show that earthquake points in Sulawesi are concentrated in subduction zones and active faults. The most earthquake-prone areas include North Sulawesi and Gorontalo, which are affected by the subduction of the Pacific and Eurasian Plates. In addition, Central Sulawesi, West Sulawesi, South Sulawesi and Southeast Sulawesi are also at high risk due to the activity of the Palu-Koro Fault. Earthquake intensity around the Flores Sea and Banda Sea increases in 2021-2022 due to subduction of the Indo-Australian Plate. The optimal parameters for clustering varied every year during the study. The optimal parameters for clustering varied every year during the study period. This study provides new insights into seismic activity patterns in Sulawesi that can be utilised to support disaster mitigation and earthquake risk reduction policies.
Co-Authors Ahmad Zaki Ali, Muh.Yusuf Asmaul Husna Badawia, Annisa Nur Inayah, Nur Aulia Ja'faruddin, Ja'faruddin Mawaddah, Arini Ulfa Mu’adz, A. Muhammad Ningsih, Rika Rahayu Nur Insani Maiwa Oeitama, Whannie Youngger Pertiwi, Ika Shafruddin, Lutfiah Sutamrin Sutamrin, Sutamrin Topayung, Monalisa Wahidah Sanusi Wahyuni, Maya Sari Yusfitasari, Yusfitasari