Jurnal Matematika, Statistika dan Komputasi

Mathematical Modeling for The Spread of Mumps Disease Based on Siqr Model

2023-06-07T12:55:45+00:00

This study discusses the spread of Mumps disease by assuming there is a population of individuals who are quarantined. In addition, it is possible to die from Mumps in the presence of complications from other diseases. The SIQR model is used by assumes that individuals who have recovered will get permanent immunity against Mumps. Based on the model, disease-free equilibrium points and endemic equilibrium points are obtained. The analysis was carried out around the disease-free equilibrium point and the endemic equilibrium point. The results show that the disease-free equilibrium point is locally asymptotically stable with conditions Ro<1 and the endemic equilibrium point is locally asymptotically stable if Ro>1. Furthermore, a simulation was carried out with the Maple 18 program.

Estimation of Factors Affecting Stunting Cases in West Java in 2021 Using Negative Binomial Spatial Regression

2023-06-03T10:44:12+00:00

Stunting is a childhood growth and development disorder characterized by below-normal height. West Java, with its stunting rate of 24.5 percent, is one of the provinces included in the top 12 priority provinces in implementing the National Action Plan to Accelerate Stunting. Stunting cases are count data and their occurrence is rare. The analysis for the count data is Poisson regression with the assumption that equidispersion must be met. One way to overcome overdispersion is to use negative binomial regression. This study aimed to determine predictors/factors affecting stunting cases in West Java province in 2021 using negative binomial spatial regression. There is a spatial effect in the stunting data, so the spatial regression model is suitable. The results show that there is an overdispersion in the Poisson regression. The spatial effect test shows that there is a spatial dependence on the response variable and some predictors. The negative spatial autoregressive binomial is the best model with the lowest AIC value. The factors that have a significant effect are the percentage of infants aged less than six months who are breastfed, the percentage of food processing establishments that meet the requirements, and the percentage of infants with low birth weight.

Ukuran Bilangan Ramsey Multipartit Pada Graf Buku Terhadap Graf Bintang Orde Empat

2023-05-30T06:52:23+00:00

Partition Dimention of Amalgamation-Side in Cycle Graph

2023-05-29T03:43:25+00:00

The graph is a pair of sets , where is a finite set whose elements are called vertices, and is the set of pairs of members of . which is called the edge. Let be a simple graph where . The distance between points and is denoted by is the length of the shortest path between and . Given and there is a vertex on the connected graph , then the distance between and is denoted . If is -partition of , then the representation of with respect to is -ordered pairs, . If the -ordered pairs for are all different, then the partition is called a dimension partition. The minimal -number which is the -differentiating partition of is called the partition dimension of and is denoted by . In this study, the partition dimensions of the sided amalgamation result will be determined on an even-order cycle graph. In determining the dimensions of the partition, characterization of the partition dimensions is used in the path graph, the lemma about the distinguishing set and the equivalence point, especially in the even-order cycle graph. The results of this study are pd(Amal(Cn,e,k)) = 3 for n≥4 , pd(Amal(C4,e,k))=4 for k=4 , pd(Amal(C4,e,k))=3+m for k=2m+3 and k=2m+4 where m=1,2,3,...

Moh Nakib Application of Robust Quadratic Discriminant Analysis with Minimum Covariance Determinant (MCD) Estimator on Developing Village Status in Parigi Moutong

2023-05-26T07:51:17+00:00

Abstract

Village development or village a build, is an effort made by the government to improve people's welfare, as well as accelerate the rate of regional economic growth. The Development Village Index is an instrument that maps villages into five categories/statuses based on their level of development, namely independent, developed, develop, lagging and very underdeveloped villages. Parigi Moutong Regency is a district consisting of 159 growing villages and 119 developing villages. Therefore, to analyze the status of developed villages in Parigi Moutong Regency, an analytical method is needed, one of which is discriminant analysis. The discriminant analysis is a multivariate technique that relates to the separation of objects into different groups and allocating these objects into a predetermined group. Quadratic discriminant analysis is used if the data is normally distributed multivariate and the mean vector and matrix of variance covariance between groups are different. If the observed data contains outliers, a robust estimator can be used, namely the minimum covariance determinant (MCD). The model that obtained by robust quadratic discriminant analysis method to the status of a developed villages in Parigi Moutong Regency in 2022 has a classification accuracy value of 92.86% with an error proportion of 7.14%.

Penerapan ARIMAX Variasi Kalender Untuk Peramalan Jumlah Pencarian Merek Fashion H&M Berdasarkan Data Google Trends

2023-05-25T14:41:36+00:00

Autoregressive Integrated Moving Average with Exogenous Variable (ARIMAX) is a time series analysis method used to predict a variable with the influence of predictor variables. The predictor variable used is the dummy variable, variations of the Eid al-Fitr calendar and year-end holidays which are thought to affect search jumlah for H&M fashion brands in Indonesia based on Google trends data and trend variables. The purpose of this study is to obtain a forecasting model, forecasting results, and forecasting accuracy in predicting search jumlah for H&M fashion brands in Indonesia. Based on the results of the analysis, the ARIMAX(0,1,1) forecasting model is obtained with an accuracy value of the Mean Absolute Precentage Error (MAPE) of 10.844%, which means that the forecasting model is accurate in predicting search jumlah data for the H&M fashion brand. The prediction results from the ARIMAX(0,1,1) model have a pattern that tends to follow the actual data. Forecasting for the ARIMAX(0,1,1) model can be seen also having the same pattern, namely every month it fluctuates, and it can be seen that there is an increase during the month of Eid Al-Fitr, namely April 2023 and the year-end holiday in December 2023.

Ukuran Bilangan Ramsey Multipartit Pada Graf Buku Terhadap Graf Bintang Orde Empat

2023-05-24T00:18:19+00:00

Partition Dimention of Amalgamation-Side in Cycle Graph

2023-05-23T03:46:11+00:00

Moh Nakib Penerapan Analisis Diskriminan Kuadratik Robust dengan Estimator Minimum Covariance Determinant (MCD) pada Status Desa Membangun di Kabupaten Parigi Moutong

2023-05-15T03:56:07+00:00

Abstract
Village development or village a build, is an effort made by the government to improve people's welfare, as
well as accelerate the rate of regional economic growth. The Development Village Index is an instrument
that maps villages into five categories/statuses based on their level of development, namely independent,
developed, develop, lagging and very underdeveloped villages. Parigi Moutong Regency is a district
consisting of 159 growing villages and 119 developing villages. Therefore, to analyze the status of
developed villages in Parigi Moutong Regency, an analytical method is needed, one of which is
discriminant analysis. The discriminant analysis is a multivariate technique that relates to the separation of
objects into different groups and allocating these objects into a predetermined group. Quadratic
discriminant analysis is used if the data is normally distributed multivariate and the mean vector and matrix
of variance covariance between groups are different. If the observed data contains outliers, a robust
estimator can be used, namely the minimum covariance determinant (MCD). The model that obtained by
robust quadratic discriminant analysis method to the status of a developed villages in Parigi Moutong
Regency in 2022 has a classification accuracy value of 92.86% with an error proportion of 7.14%.

Sandr Saputri S-Estimated Robust Regression Analysis with Tukey Bisquare Weighting on Poverty Levels in Sulawesi Island

2023-05-14T01:54:09+00:00

Kemiskinan adalah keadaan dimana seseorang mengalami kesulitan dalam memenuhi kebutuhan dasarnya. Ada beberapa faktor yang mempengaruhi kemiskinan antara lain jumlah penduduk, pengangguran, produk domestik regional bruto, indeks pembangunan manusia, rata-rata lama sekolah dan tingkat partisipasi angkatan kerja. Oleh karena itu, perlu dilakukan analisis regresi untuk mengetahui hubungan antara satu variabel dengan variabel lainnya. Salah satu metode pendugaan parameter regresi adalah metode kuadrat terkecil. Beberapa asumsi klasik tidak terpenuhi karena terdapat data outlier. Outlier merupakan data yang tidak mengikuti pola distribusi secara keseluruhan, maka digunakan metode yang dapat mengatasi outlier yaitu metode regresi robust S-estimation dengan fungsi pembobotan tukey bisquare. Hasil penelitian menunjukkan bahwa model terbaik diperoleh dari regresi robust S-estimasi dengan pembobotan tukey bisquare, yaitu . Faktor-faktor yang mempengaruhi tingkat kemiskinan di Pulau Sulawesi yaitu Jumlah Penduduk (), Indeks Pembangunan Manusia (), Rata-rata Lama Sekolah (), dan Tingkat Partisipasi Angkatan Kerja ().