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Journal : Media Statistika

PEMODELAN ANGKA HARAPAN HIDUP JAWA TIMUR (INDONESIA) MENGGUNAKAN REGRESI SEMIPARAMETRIK CAMPURAN SPLINE TRUNCATED DAN DERET FOURIER Nisa', Khaerun; Budiantara, I Nyoman
MEDIA STATISTIKA Vol 13, No 2 (2020): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.13.2.149-160

Abstract

Life expectancy is one of the indicators used to evaluate the government’s performance in improving the well-being of the population. High life expectancy in an area indicates that people in the area have been assured of health and poverty has been well overcome, and vice versa. Based on national socioeconomic survey (SUSENAS) data, showing life expectancy in East Java Province from 2009 to 2013 increased by 69.15 years to 70,19 years. Although overall life expectancy in East Java province has increased, there are still some areas that have life expectancy below 65 years. This is not from the different characteristics of each religion. Therefore, the main purpose of this study is to model life expectancy in East Java using semiparametric regression with a mixed estimator of Spline Truncated and Fourier Series.  Based on the research that has been done, the results that modeling the data of life expectancy using mixed estimator of Spline Truncated and Fourier Series produced a value of R2 of 99,62% which means that the predictor variables are able to explain the response variabel life expectancy of 99.62%.
ESTIMASI SELANG KEPERCAYAAN NILAI UJIAN NASIONAL BERBASIS KOMPETENSI BERDASARKAN MODEL REGRESI SEMIPARAMETRIK MULTIRESPON TRUNCATED SPLINE Lilik Hidayati; Nur Chamidah; I Nyoman Budiantara
MEDIA STATISTIKA Vol 13, No 1 (2020): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1063.995 KB) | DOI: 10.14710/medstat.13.1.92-103

Abstract

Confidence interval estimation is important in statistical inference for the parameters of the regression model, but the theory of confidence interval estimation for multi-response semiparametric regression model parameters based on the truncated spline estimator has not been examined. In this study, we estimate the confidence interval of the multi-response semiparametric regression model based on the truncated spline estimator by using pivotal quantity method with the central limit theorem approach. This confidence interval theory is applied to data of competency-based national exam (UNBK) scores in West Nusa Tenggara Province where its UNBK  in the lowest position among other provinces in Indonesia. The method used for estimating parameters is weighted least square. The best model is determined based on the Generalized Cross Validation (GCV) minimum value. Based on the estimated 95% confidence interval of parameters of the multi-response truncated spline semiparametric regression model, the results showed that the insignificant factors affecting the UNBK scores were gender and parental education duration while the report card of scores and USBK scores had a positive effect on the UNBK scores but only the UNBK scores of mathematics that report card of scores factor has a negative effect on it.
ESTIMATION OF SEMIPARAMETRIC REGRESSION CURVE WITH MIXED ESTIMATOR OF MULTIVARIABLE LINEAR TRUNCATED SPLINE AND MULTIVARIABLE KERNEL Hesikumalasari Hesikumalasari; I Nyoman Budiantara; Vita Ratnasari; Khaerun Nisa'
MEDIA STATISTIKA Vol 15, No 1 (2022): Media Statistika
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/medstat.15.1.12-23

Abstract

The response variable of the regression analysis has a linear relationship with one of the variable predictors, however the unknown relationship pattern with the other predictor variables. Consequently, it can be approached by using semiparametric regression model. The predictor variable that has a linear relationship with the response variable can be approached by using linear parametric curve called parametric component. Meanwhile, the unknown relationship between the response variable with another predictor variable can be approached by using nonparametric curve called nonparametric component. If the predictor variable in nonparametric component is more than one, then it can be approached by using a different nonparametric curve named combined or mixed estimator. In this research, nonparametric component is approached using mixed estimator of multivariable linear truncated spline and multivariable kernel. The objective of this research is to estimate the model of semiparametric regression curve with mixed estimator of multivariable truncated spline and multivariable kernel. Estimation of this mixed model using ordinary least square method.
Co-Authors Achmad Zubaydi Agnes Tuti Rumiati Anita Trias Anggraeni Ayu Febriana Dwi Rositawati Ayu Ukhti Mufidah Ayuk Putri Sugiantari Azizah Azizah Bagiyo Suwasono Bagiyo Suwasono Bagiyo Suwasono, Bagiyo Bambang Widjanarko Otok Benny Kusuma Budi Lestari Budi Lestari Camelia Nanda Sholicha Chairunnisa, Nurul Rizky Crespo, Mohamad Dani, Andrea Dani, Andrea Tri Rian Delila Ramadanti Bidari Dewi Wahyu Setyowati Dhira Audhia Pratiwi Eko Wahyu Wibowo Elfrida Kurnia Litawati Erma Oktania Permatasari Errina Dwi Igustin Fadhlul Rahim Febriyani, Eka Riche Firda Fahrun Nisa' Fitriana, Dewi Fortano, Nauvalla Farhan Putra Fredi Suryadi Fredi Suryadi Hadianti, Wafirah Putri Hesikumalasari Hesikumalasari I Dewa Ayu Made Istri Wulandari I Gusti Putu Surya Darma Inggar Putri Merdekawati Irma Wahyu Rosanti Irma Yahya Ismaini Zain Kartika Fitriasari Khaerun Nisa' Krisna Wulandari Latifatul Mubarokah Lilik Hidayati, Lilik Ludia Ni’matuzzahroh M. Fariz Fadillah Mardianto Made Ayu Dwi Octavanny Madu Ratna Merly Fatriana Bintariningrum Meyda Arynta muhammad mashuri Nalim Nalim Ni Putu Dera Yanthi Nisa', Khaerun Novalia Dwita Pramitasari Novia Asri Kurniawati Nur Chamidah Nuraini, Ulfa Siti Nuraziza Arfan Nuroini, Husna Mir'atin Nurul Fajriyyah Nurul Fitriyani Nurul Izzah Nym Cista Striratna Dewi Octavianta Romauli Sitanggang Patrica Pungky Gabrela Permatasari, Erma Oktania Puspita Khanela Putra, Fachrian Bimantoro Putri, Asyifa Charmadya Ramadhani, Riska Kunti Ratri Galuh Pramesti Reza Mubarak Riana Kurnia Dewi Rifani Nur Sindy Setiawan Rizkiana Prima Rahmadina Robiatul Maziyah Ruli Sartika Sari Sherly Mega Tri Marina Shofa F Nisai Sifriyani, Sifriyani Siti Nasfirah Sjarief Widjaja Sony Sunaryo Sony Sunaryo Suryo Guritno Suryo Guritno Tavio, Tavio Vita Ratnasari Wiyli Yustanti Zaed Yuliadi Zaed Yuliadi, Zaed