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Penggunaan Analisis Biplot dalam Pengelompokan Kabupaten/Kota di Provinsi Sulawesi Selatan Berdasarkan Indikator Kesejahteraan Masyarakat Irwan; Wahidah Sanusi; Kahvi Nurani
Journal of Mathematics, Computations and Statistics Vol. 6 No. 2 (2023): Volume 06 Nomor 02 (Oktober 2023)
Publisher : Jurusan Matematika FMIPA UNM

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This study aims to group districts / cities in South Sulawesi Province in 2021 that havesimilarities in community welfare variables using biplot analysis. Biplot analysis is an effort to makeimages in many-dimensional space into images in two-dimensional space, some important informationthat can be obtained are: proximity between observed objects, variable diversity, correlation betweenvariables and variable values of an object. This research uses the SVD (Singular Value Decomposition)method, with a research object of 24 districts / cities in South Sulawesi Province and consists of 13indicator variables. Based on the results of the study, the districts/cities that have similar indicators ofcommunity welfare are divided into 4 groups, group 1 is Makassar City, Pinrang and Luwu Regencies,group 2 is Pangkajene and Islands, Wajo, Takalar, Bulukumba, Soppeng, Bone, Jeneponto, Gowa,Maros, Sirenreng Rappang and Barru, group 3 namely Sinjai, North Luwu, Selayar Islands and Bantaengand group 4 namely Parepare City, Palopo City, Tana Toraja, North Toraja, East Luwu and Enrekang.With the greatest diversity of community welfare indicators are expected years of schooling (X4) andaverage years of schooling (X5). The variables that influence each other and are positively correlated.Namely, expectation of years of schooling (X4) and using a cellular phone (HP) (X12).
Analisis Kekonvergenan pada Barisan Peubah Acak di Ruang Riil Syafruddin Side; Wahidah Sanusi; Nur Izzah Nurdin
Journal of Mathematics, Computations and Statistics Vol. 6 No. 1 (2023): Volume 06 Nomor 01 (April 2023)
Publisher : Jurusan Matematika FMIPA UNM

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This research aims to identify and explain the concepts, asymptotic properties, relationships and applications of four types of convergence of a sequence of random variable, namely convergence almost surely, convergence in probability, convergence in distribution and convergence in mean. The results of the theoretical study shows that these four types of convergence, are closed to arithmetic operations, each subsequence is convergent to the same random variable, remains convergent in the continuous function,and has a relationship between each type, namely: (a) if the sequence of random variable convergent almost surely then this sequence convergent in probability and otherwise if the sequence has a subsequence that convergent almost surely to its limit, (b) if the sequence of random variable convergent in probability then this sequence convergent in distribution and otherwise if the limit is a real constant, (c) if the sequence of random variable convergent in mean then this sequence convergent in probability and otherwise if thesequence is bounded in probability and (d) there is no relationship between convergent in mean and convergent almost surely, and also can be used in proving the Law of Large Number, Central Limit Theorem and limit distribution.
Penyelesaian Persamaan Panas Dimensi Satu dengan Metode Beda Hingga Skema Eksplisit Wahidah Sanusi; Muhammad Isbar Pratama; Syafruddin Side; Fitriyani
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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This research is a pure research in the form of a theoretical study that aims to determine the solution of the one-dimensional heat equation using the finite difference method explicit scheme and to know the simulation of the one-dimensional heat equation. The explicit schema finite difference method is an alternative method used to solve partial differential equations. The first step in this research is to build and analyze the one-dimensional heat equation. Next, discretize the one-dimensional heat equation by usingnumerical derivatives. Then solve the one-dimensional heat equation using an explicit schema. Finally, using the Matlab program to simulate the solution of the one-dimensional heat equation. The simulation results show that there is a change in temperature from a high temperature to a lower temperature which is influenced by time due to the heat transfer process.
Analisis Survival terhadap Kekambuhan Pasien Penderita Asma menggunakan Pendekatan Counting Process: (Studi Kasus: Balai Besar Kesehatan Paru Masyarakat Makassar) Muhammad Abdy; Wahidah Sanusi; Hikma Aulia
Journal of Mathematics, Computations and Statistics Vol. 5 No. 2 (2022): Volume 05 Nomor 02 (Oktober 2022)
Publisher : Jurusan Matematika FMIPA UNM

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Survival analysis or survival analysis is a set of statistical procedures to analyze data with the time until a particular event occurs as a response variable. Observe events such as death and recurrence of the disease. Survival analysis used for recurring data is the counting process approach for identic and stratified cox recursion events for non-identical recursion events. An example of identic recursion data is patient recurrence data of non-communicable diseases such as asthma. The type of research carried out is applied research with a quantitative approach, namely by taking or collecting the necessary data and analyzing it using the counting process approach method. The counting process approach method is a specific method used for identical reccuring event, each recurring event will be counted as a new and independent event. The variables used in the study were Time, Status, Gender, Age, Smoker, Allergies, Obesity, and Atopic History. Based on the results of this study, it was found that the factors of gender, age, and atopic history had an effect on the recurrence of asthmatic patients with a significance level of less than 10%.
Pengelompokan Daerah Rawan Kriminalitas di Sulawesi Selatan Menggunakan Metode K-means Clustering Irwan Irwan; Wahidah Sanusi; Febriyanto Saman
Journal of Mathematics, Computations and Statistics Vol. 5 No. 1 (2022): Volume 05 Nomor 01 (April 2022)
Publisher : Jurusan Matematika FMIPA UNM

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This research is an applied research that emphasizes how to carry out cluster analysis mathematically, knowing how to apply k-means clustering, and the characteristics of each group of crime-prone areas. The simulation data used in this study is data obtained from the Central Statistics Agency (BPS) of South Sulawesi Province. The data was then analyzed by the K-means clustering method. The results of the study show that there are four characteristics of each group of crime-prone areas in South Sulawesi. Group 1 is categorized as a crime-safe area, Group 2 is categorized as a crime-prone area, group 3 is categorized as a crime-safe area, and group 4 is categorized as an area that is quite prone to crime.
Model Generalized Poisson Regression (GPR) dan Penerapannya pada Angka Pengangguran bagi Penduduk Usia Kerja di Provinsi Sulawesi Selatan Hisyam Ihsan; Wahidah Sanusi; Risna Ulfadwiyanti
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This study discusses the formation of the Generalized Poisson Regression (GPR) model and its application to the unemployment rate for the working age population in South Sulawesi Province. This type of research is applied research that uses the Poisson regression model, namely Poisson regression and GPR models. The response variabel used is the total unemployment rate at working age which includes the workforce in South Sulawesi Province in 2017. The predictor variables used are the percentage of the workforce on the working age population, the Human Development Index, the percentage of work on the labor force, population density, and economic growth. This research uses the Maximum Likelihood Estimation (MLE) method to estimate parameters and produce a GPR model. The predictor variables which have a significant influence are the Human Development Index and the percentage of work on the labor force.
Suatu Kajian Tentang B-Aljabar Wahidah Sanusi; Muhammad Abdy; Sahlan Sidjara; Asriani Arsita Asni
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This research is a literature studies that aims at reviewing the concepts and properties of B-Algebras. The concept of B-Algebras in this article is based on research that has been done by Neggers and Kim and Allen. All discussions in this article use the firm sets, both finite sets and infinite sets. As a result, more complete evidence of the properties of B-Algebras can be given and its relationship with the group. A group with a specific operation and has as an identity element is a B-Algebras. Moreover, a number of group theorems can be derived into B-Algebra such as natural mapping and the First Isomorphism Theorems which in their proof have similarities to the proofs of groups while still using the properties of B-Algebra itself.
Model Matematika SIR Sebagai Solusi Kecanduan Penggunaan Media Sosial Syafruddin Side; Wahidah Sanusi; Nur Khaerati Rustan
Journal of Mathematics, Computations and Statistics Vol. 3 No. 2 (2020): Volume 03 Nomor 02 (Oktober 2020)
Publisher : Jurusan Matematika FMIPA UNM

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This study aims to build the SIR (Susceptible - Infected - Recovered) model as a solution of social media addiction with the assumption that students who recover from addiction of social media because they have high selfcontrol. This model is divided into three classes: namely class of students who have potential to use social media, class of students who are addicted to social media, and class of students who have high selfcontrol. The data used are primary data that was obtained by distributing questionnaires to 145 students of mathematics departement FMIPA UNM class of 2017, 2018, and 2019. The simulation results of the SIR type model produce a basic reproduction number (R0) of 1.451136 which means that the number of students who are addicted to the use of social media will increase in a certain period of time.
Model Vector Autoregressive Exogenous dan Aplikasinya pada Curah Hujan Kota Makassar Sukarna; Wahidah Sanusi; Serly Diliyanti Restu Ningsih
Journal of Mathematics, Computations and Statistics Vol. 2 No. 02 (2019): Volume 02 Nomor 02 (Oktober 2019)
Publisher : Jurusan Matematika FMIPA UNM

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This type of research is applied research that aims to predict rainfall in Makassar city VARX model using. The model was developed from the VARX model VAR by adding exogenous factors that influence the precipitation like Sea Surface Temperature (SST) Nino 3.4, the Southern Oscillation Index (SOI), and Dipole Mode Index (DMI). Rainfall data used in this researrchis the monthly rainfall data in Makassar city from 1987-2016 year on three stations, namely Panaikang, Paotere, and Biring Romang as endogenous factors. This data is retrieved from the Great Hall the Meteorology, Climatology, and Geophysics Region IV Makassar. VARX model formation through several stages, namely : test stasioneritas, the determination of the optimal lag length, test causality, diagnostic models, the establishment of the model of forecasting and VARX. The result showed that the average peak rainfall in Makassar city occurred in March and then come down exponentially. In May the chance of occurrence of very little rain.The model obtained in this study deserves to be used to predict rainfall in the next period.Keywords: , , ,
Pemodelan Matematika SEIR Penyebaran Penyakit Pneumonia pada Balita dengan Pengaruh Vaksinasi di Kota Makassar Syafruddin Side; Wahidah Sanusi; Nurul Aulia Bohari
Journal of Mathematics, Computations and Statistics Vol. 4 No. 1 (2021): Volume 04 Nomor 01 (April 2021)
Publisher : Jurusan Matematika FMIPA UNM

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This study aims to build a model of the spread of pneumonia in SEIR (Susceptible-Exposed-Infected-Recovered) toddlers, analyze the model, and determine the minimum proportion of vaccinations. The data used are data on the number of pneumonia sufferers in toddlers in Makassar City in 2019.The results obtained by the SEIR mathematical model of pneumonia in the form of ordinary differential equation systems; addiction free balance points and addiction balance points which are both stable; basic reproduction numbers for simulations without vaccination greater than 1, which means that the disease still exists in the population, while basic reproduction numbers for simulations with vasksination less than 1, which means the disease will disappear and not spread from the population.
Co-Authors A. Armansyah Afifatun Hasanah AHMAD FAUZAN RIDHA SUJIONO Ahmad Talib Ahmad Yani Ahmad Yani Ahmad Zaki Ahmad Zaki Ahmad Zaki Ahmad Zaky Alimuddin Alimuddin Tampa Amal Amal Amal Amal Amal Arfan, Amal Amaliah Nurul Arkas Amni Rasyidah Andi Abidah Andi Diki Nurbaldatun Islam Anggi Ananda Putri Annas, Suwardi Anugrah Janide Asdar Asriani Arsita Asni Asriani Arsita Asni Aswi, Aswi Awi Dassa Beby Fitriani Besse Nur Afni Besse Nur Afni Bohari, Nurul Aulia Diki Nurbaldatun Islam Dwi Wahyuliani Elma Selviana Darwis Elma Selviana Darwis Febriyanto Saman Febriyanto Saman Fitriyani Fitriyani Fitriyani H. Hasriani Hafilah Hardiono Hafilah. H Hasan Basri Hasnawiyah Hasnawiyah Hasnawiyah, Hasnawiyah Hasriani Hikma Aulia Hisyam Ihsan Ilham Minggi Irham Aryandi Basir Irham Aryandi Basir Irma Aswani Ahmad, Irma Aswani Irwan Irwan Irwan Irwan Irwan Irwan Irwan Irwan Kahvi Nurani Katrina Pareallo Lisca Palerina Maya Sari Wahyuni Mudinillah, Adam Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Abdy Muhammad Arif Tiro, Muhammad Arif Muhammad Danial Muhammad Danial Muhammad Danial Muhammad Farhan Muhammad Isbar Pratama Muhammad Rakib Muhammad Rakib Muhammad Syahrir Mukarram, Trys Musliati Musliati Mustati'atul Waidah Maksum N Nurfadillah N Nurwakia Nasrullah Nasrullah Nirwana, St. Risma Ayu Nur Anny S. Taufieq Nur Anny S. Taufieq Nur Anny S. Taufieq Nur Anny Suryaningsih Taufieq Nur Fajri Setiawan Nur Hikmayanti Syam Nur Izzah Nurdin Nur Khaerati Rustan Nur Khaerati Rustan Nur Ridiawati Nur Ridiawati Nurfadillah Nurhilaliyah Nurhilaliyah Nurul Aulia Bohari Nurul Aulia Bohari Nurul Fadilah Syahrul Pince Salempa Rabiatul Adawiyah Rabiatul Adawiyah Rahmat Setiawan Rahmat Setiawan Rahmat Syam Rahmat Syam Rahmawati Rahmawati Reski Andini Reski Andini Risna Ulfadwiyanti Risna Ulfadwiyanti Rosidah Rosidah Ruliana Rustan, Nur Khaerati S Sukmawati Sahlan Sidjara Sahlan Sidjara Sahlan Sidjara Saiful Bahri Saiful Bahri Serly Diliyanti Restu Ningsih Serly Diliyanti Restu Ningsih Setiawan, Nur Fajri Sidjara, Sahlan Sudarmin Sudarmin Sukarna Sukarna Sukarna Sukarna Sukarna Sulaiman Sulaiman Syafruddin Side Syafruddin Side Taty Sulastri Taty Sulastri Trys Mukarram Utami Priono Wahyuliani, Dwi Wahyuni, Maya Sari Wulandari, Natalia Puspita