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All Journal Jurnal Matematika JITEK (Jurnal Ilmiah Teknosains) Unisda Journal of Mathematics and Computer Science (UJMC) Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Jurnal Pengabdian Masyarakat: BAKTI KITA Jurnal Pengabdian Kepada Masyarakat Indonesia
Siti Alfiatur Rohmaniah
Universitas Islam Darul 'Ulum Lamongan
Agriculture, Biological Sciences & Forestry Humanities Civil Engineering, Building, Construction & Architecture Computer Science & IT Education Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Public Health Social Sciences Veterinary Other

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Analisis Survival Model Regresi Parametrik Lama Studi Mahasiswa Novita Eka Chandra; Siti Alfiatur Rohmaniah
Jurnal Matematika Vol 9 No 1 (2019)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2019.v09.i01.p106

Abstract

Timely graduation of students can be used as an indicator to show the quality of a university. Students are said to graduate on time if they have a short study period of 4 years. The duration of the study of students varies because it is influenced by several factors. The purpose of this study is to determine the factors that have a significant effect on the duration of student studies. The factors studied included gender, GPA, school origin, joining the organization and working in college. The method used in this study is survival analysis. Survival analysis in this study used Log-normal and Weibull, parametric regression models. From the two models, it was found that the GPA and organizational factors significantly influence the duration of student studies. Next, to determine the best model is determined based on the minimum AIC value. Based on the comparison of the two models, the parametric Weibull model has a minimum AIC value, so this model is the best model. Based on HR values ??obtained by students who have a higher GPA and are more active in graduating faster or can be said to have fewer studies. Keywords: survival, regression, parametric, time of study.
ANALISIS SURVIVAL MODEL REGRESI SEMIPARAMETRIK PADA LAMA STUDI MAHASISWA Novita Eka Chandra; Siti Alfiatur Rohmaniah
Jurnal Ilmiah Teknosains Vol 5, No 2 (2019): JiTek
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (307.681 KB) | DOI: 10.26877/jitek.v5i2.4256

Abstract

In survival analysis to determine the relationship between variables is used a regression model, one of which uses the semiparametric regression model. The semiparametric regression model is a model that does not require assumptions or information on survival data distribution. That way, this model is more flexible in its use. In this study, the semiparametric regression model used the Cox Proportional Hazard (Cox PH) regression model. Estimation of Cox PH regression parameters can be done without determining the function baseline hazard. The purpose of this study is to determine the factors that influence the duration of student studies. If there are many students whose studies have not been on time, it shows that there is a lack of professionalism in the academic field of the educator. Thus, the community will assess the low quality of the university, resulting in a decrease in the number of students who want to study at the university. The samples in this study were students of class 2014 Universitas Islam Darul Ulum Lamongan. The variables have used the length of study for students, gender, GPA, school origin, organization, and work. Based on the results of the assumption Proportional Hazard (PH) conducted, all independent variables have fulfilled these assumptions, so that these variables can be used in Cox PH regression. After parameter estimation by Cox PH regression, the GPA and organizational factors significantly influence the duration of student study. Students with high GPA and participating in organizations more quickly complete their studies.
PERHITUNGAN PREMI ASURANSI JIWA MENGGUNAKAN GENERALIZED LINEAR MIXED MODELS Siti Alfiatur Rohmaniah; Novita Eka Chandra
Jurnal Ilmiah Teknosains Vol 4, No 2 (2018): JiTek
Publisher : Universitas PGRI Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (321.266 KB) | DOI: 10.26877/jitek.v4i2.3004

Abstract

The price of life insurance premiums for each person depends on the probability of death, not only based on age and gender as offered by an Indonesian insurance company.  The purpose of this study is to determine premium prices on underwriting factors and frailty factors using Generalized Linear Mixed Models (GLMM). GLMM is used for modeling a combination of fixed effect heterogeneity (underwriting factors) and random effects (frailty factors) between individuals. The data used longitudinal data about underwriting factors that have Binomial distribution are taken from the Health and Retirement Study and processed using R software. Because the data used by survey data within an interval of two years, so the probability of death is obtained for an interval the next two years. Underwriting factors that have a significant effect on the probability of death are age, alcoholic status, heart disease, and diabetes. As a result, is obtained the probability of death models each individual to determine life insurance premium prices. The premium price of each individual is different because depends on underwriting factors and frailty. If frailty is positive, it means that a person level of vulnerability when experiencing the risk of death is greater than negative frailty.
JEMBATAN PADA GRAF FUZZY INTUITIONISTIC Siti Alfiatur Rohmaniah; Bayu Surarso; Bambang Irawanto
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 1 No 01 (2015): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1462.553 KB) | DOI: 10.52166/ujmc.v1i01.438

Abstract

An intuitionistic fuzzy graph consist of a couples of node sets V and set of edges E which the sum of degree membership and degree non membership each of nodes and each of edges in closed interval [0,1], the degree membership each of edges is less than or equal with the minimum of degree membership each of related nodes, and degree non membership each of edges is less than or equal with the maximum degree non membership each of related nodes. An intuitionistic fuzzy graph H can be said as intuitionistic fuzzy subgraph from intuitionistic fuzzy graph G if node set V of H is subset of node set V of G and edge set E of H is subset of edge set E of G. If there is an intuitionistic fuzzy graph G with nodes set of V and if each of edge has degree membership and non membership unconstantly, then G has at least one bridge. The theorem is proven to hold if the intuitionistic fuzzy graph has cycle.
PEMODELAN REGRESI COX DAN REGRESI WEIBULL WAKTU SEMBUH DIARE PADA BALITA Siti Alfiatur Rohmaniah; Danardono Danardono
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 2 No 1 (2016): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (961.098 KB) | DOI: 10.52166/ujmc.v2i1.449

Abstract

There are some consequences that occur because of diarrhea such as low levels of hemoglobin, weight loss, and dehydration. Severe dehydration can lead to death. This study aims to model the time cured of diarrhea on infants used the Cox regression method and Weibull regression to determine the factors that signicantly influence the long diarrhea. The method used to analyze data on infants under diarrhea includes sex, duration of diarrhea from beginning to heal, age of the children, the value of nutrition in infants and toddlers hemoglobin levels. Further, it continued by modeling these factors using cox regression and regression weibull. The results obtained the nutritional value on infants signicantly eect on diarrhea in infants.
PERHITUNGAN VALUE AT RISK (VaR) DENGAN SIMULASI MONTE CARLO (STUDI KASUS SAHAM PT. XL ACIATA.Tbk) Siti Alfiatur Rohmaniah
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 3 No 1 (2017): Unisda Journal of Mathematics and Computer Science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (106.902 KB) | DOI: 10.52166/ujmc.v3i1.459

Abstract

Value at Risk (VaR) can be simply defined as an estimate of the maximum potential loss under the normal market conditions at a specific time period and with the specific confidence level. For the calculation can be done by various methods including VaR parametric estimates. VaR is calculated by simulating the properties of the risk factors and the value of assets by raising the sequence of random asset prices at the T time, given the value of asset prices sample with time t where T> t.
Analisis Data Produksi Ikan Konsumsi Menggunakan Uji Friedman Emy Natun Na'imah; Siti alfiatur Rohmaniah
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 6 No 01 (2020): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v6i01.2384

Abstract

Agriculture in Lamongan district is known as minipadi. This is because the majority of rice fields in Lamongan district can also be used for fisheries. It is appropriate that the development of the agriculture and fisheries sectors receive special attention and the results can be seen as one of the keys to the success of the government in realizing people's welfare. The purpose of this study was to determine the descriptive data analysis of fish production in Lamongan district with the Friedman test. From the maximum value of production, the sector that is most superior in consumption fish production is pond cultivation, and the lowest is floating net cage cultivation. The districts with the most potential in consumption fish production are Glagah, Karamgbinangun and Turi Districts.
Analisis Sistem Antrian Pasien Rawat Jalan Menggunakan Distribusi Poisson dan Distribusi Erlang Siti Alfiatur Rohmaniah; Siti Masnikafah; Mohammad Syaiful Pradana
Unisda Journal of Mathematics and Computer Science (UJMC) Vol 7 No 2 (2021): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department of Mathematics and Natural Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v7i2.2768

Abstract

Antrian di Puskesmas merupakan proses menunggu pasien untuk mendapat pelayanan. Fenomena antrian yang panjang dan lama terjadi pada Puskesmas Turi Kabupaten Lamongan terlebih pada saat kondisi yang ramai.Tujuan penelitian ini untuk mengetahui jumlah pelayan optimum Puskesmas Turi dalam kondisi ramai pasien. Penentuan jumlah pelayan berdasarkan tingkat kedatangan yang terwakilkan dengan Distribusi Poisson, sedangkan waktu pelayanan diwakili oleh Distribusi Erlang. Pada penelitian ini terdapat tiga fase pelayanan yaitu pendaftaran, pelayanan dokter, dan pelayanan apotek. Dalam penentuan jumlah pelayan optimal melihat dari nilai ultilitas. Hasil penelitian pada kondisi ramai pasien di Puskesmas Turi terjadi pada hari Senin dengan laju kedatangan 4 pasien per menit dan laju pelayanan selama 10 menit per pasien. Rata-rata waktu menunggu dalam antrian sebesar 0,035 menit, rata-rata waktu menunggu dalam sistem selama 0,04 menit dan rata-rata banyaknya pasien dalam antrian maupun sistem tidak ada pasien per menitnya. Nilai ultilitas yang diperoleh sebesar 0,4, sehingga jumlah pelayan pada saat kondisi ramai pasien sudah sesuai sebanyak satu pelayan.
ESTIMASI DENSITAS KERNEL ADJUSTED: STUDI SIMULASI Novita Eka Chandra; Masriani Mahyuddin; Siti Alfiatur Rohmaniah
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 8 No 2 (2016): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2016.8.2.2885

Abstract

Kernel adjusted density estimation is a modification of the regular kernel density estimation. The modification is applied to a kernel function. This kernel function is derived from the location-scale transformation. Simulation study shows that this estimation have better results than the regular estimation because it has smaller MSE value. In addition, if normal kernel is used as a kernel function then the curve estimation will be smoother than other kernel function such as uniform kernel and Epachenikov kernel.
Model Kontrol Optimal SIR Pada Penyakit Campak Awawin Mustana Rohmah; Siti Alfiatur Rohmaniah; Rifky Ardhana Kisno Saputra
UJMC (Unisda Journal of Mathematics and Computer Science) Vol 8 No 1 (2022): Unisda Journal of Mathematics and Computer science
Publisher : Mathematics Department, Faculty of Mathematics and Sciences Unisda Lamongan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.52166/ujmc.v8i1.3226

Abstract

The SIR model is one of the epidemic models to describe the spread of infectious diseases with healing and without immunity to these infections. Environmental changes can affect changes in disease patterns that can cause endemic. One of the diseases that cause endemic is Measles (Measles). Therefore, it is necessary to take preventive measures to reduce the rate of spread of the disease, the most effective measure to prevent the spread of the disease is vaccination. Measles transmission prevention events that occur in a population can be modeled in a mathematical form, one of which is the SIR model. The SIR model is divided into four subpopulations, namely the susceptible population or a subpopulation of susceptible individuals to the disease, the infected subpopulation or a subpopulation of infected individuals and can transmit the disease and the recovary subpopulation or individual subpopulation recovering from the disease. Vaccination in this case is the addition of controls to the SIR model, where before being controlled, Measles was only treated normally without vaccines, so that the disease is still common in the community. Giving the right vaccine will reduce the number of infected subpopulations, so that the recovery subpopulation will increase. In this study, the SIR model was developed with the addition of controls. The control in this model is a vaccination given to infected subpopulations, so that the recovery subpopulation has increased, because the number of infected subpopulations has decreased. Abstrak Model SIR merupakan salah satu model epidemik untuk menggambarkan penyebaran penyakit infeksi dengan adanya penyembuhan dan tanpa adanya kekebalan terhadap infeksi tersebut. Perubahan lingkungan hidup dapat mempengaruhi perubahan pola penyakit yang dapat menimbulkan endemik. Salah satu penyakit yang menyebabkan endemi yaitu penyakit Campak (Measles). Oleh karena itu perlu adanya tindakan pencegahan untuk mengurangi laju penyebaran penyakit tersebut, tindakan yang dinilai paling efektif untuk mencegah penyebaran penyakit adalah dengan cara vaksinasi. Kejadian pencegahan penularan penyakit Campak yang terjadi pada suatu populasi dapat dimodelkan ke dalam bentuk matematis, salah satunya adalah model SIR. Model SIR dibagi menjadi empat subpopulasi yaitu populasi susceptible atau subpopulasi individu rentan terhadap penyakit, subpopulasi infected atau subpopulasi individu terinfeksi serta dapat menularkan penyakit dan subpopulasi recovary atau subpopulasi individu sembuh dari penyakit. Vaksinasi dalam hal ini adalah penambahan kontrol pada model SIR, dimana sebelum dikontrol, penyakit Campak hanya diobati biasa tanpa pemberian vaksin, sehingga penyakit tersebut masih banyak dijumpai di masyarakat. Pemberian vaksin yang tepat, akan menurunkan jumlah subpopulasi terinfeksi, sehingga subpopulasi recovery akan mengalami kenaikan. Pada penelitian ini mengembangkan model SIR dengan penambahan kontrol. Kontrol pada model tersebut merupakan vaksinasi yang diberikan kepada subpopulasi infected, sehingga subpopulasi recovery mengalami kenaikan, kerena jumlah subpopulasi infected menurun.
Co-Authors Alvina Wiliyanti Ata Amrullah Awawin Mustana Rohmah Bambang Irawanto Bayu Surarso Danardono Danardono Emy Natun Na'imah Maftuh Nur Muhammad Makhrus Afif Masriani Mahyuddin Miko Tri Afandi Mohammad Syaiful Pradana, Mohammad Syaiful Novita Eka Chandra Rifky Ardhana Kisno Saputra Siti Amiroch, Siti Siti Masnikafah