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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.
PENGARUH FRAILTY DALAM PEMODELAN MORTALITA Siti Alfiatur Rohmaniah; Novita Eka Chandra
Journal of Mathematics and Mathematics Education Vol 8, No 1 (2018): Journal of Mathematics and Mathematics Education (JMME)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jmme.v8i1.25832

Abstract

Abstract:Factors that affect a person's risk of death are divided into two, namely underwriting factor and frailty factor. Underwriting factor is an observed factor, including age, occupation, history of heart disease, stroke, hypertension, diabetes, obesity, and etc. In contrast, frailty is a factor that cannot be observed, including a person's vulnerability of death. This study aims to determine the effect of frailty on mortality modeling. The modeling used is in the form of mortality model with underwriting factor using Generalized Linear Models method, and mortality model with underwriting factor using generalized linear models, and frailty factor using Generalized Linear Mixed Models method. The data in this research are longitudinal data related to underwriting factor that have binomial distribution which is taken from Health and retirement study and processed using R software. After comparing the two models, it can be concluded that frailty has an effect on mortality modeling.Keywords: underwriting, frailty, Generalized Linear Mixed Models. 
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.