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PENAKSIR RASIO UNTUK RATA-RATA POPULASI MENGGUNAKAN KOEFISIEN VARIASI DAN KOEFISIEN KURTOSIS PADA SAMPLING GANDA Angrianto, Heru; Adnan, Arisman; ', Firdaus
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses three type ratio estimators for population mean using coefficient of variation and coefficient of kurtosis on double sampling which is a review from the article of Singh et. al [Italian Journal of Pure and Applied Mathematics-N. 28(2011): 135-142]. The three estimators are biased estimators, then the mean square error of each estimator is determined. Estimator with the smallest mean square error is the most efficient estimator. Example is given at the end of discussion.
Classification of the Human Development Index in Indonesia Using the Bootstrap Aggregating Method Goldameir, Noor Ell; Yolanda, Anne Mudya; Adnan, Arisman; Febrianti, Lusi
Sinkron : jurnal dan penelitian teknik informatika Vol. 6 No. 1 (2021): Article Research October 2021
Publisher : Politeknik Ganesha Medan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33395/sinkron.v6i1.11173

Abstract

Successful development of the quality of human life in a region is determined by the Human Development Index (HDI). Human development performance based on the HDI can be measured: long and healthy life, knowledge, and a decent standard of living. The HDI is usually grouped into several categories to facilitate the classification of the HDI level of each region. This study aimed to determine the ability of the bootstrap aggregating (bagging) method to classify the HDI by district/city. Bagging is a stochastic machine learning approach that can eliminate the variance of the classifier by producing a bootstrap ensemble to obtain better accuracy results. The dependent variable in this study was the HDI by district/city in 2020. In contrast, life expectancy at birth, expected years of schooling, mean years of schooling, and real expenditure per capita are adjusted as independent variables. Bagging was applied to the high and low categories of HDI data. The bagging method demonstrated good classification performance due to only eight classification errors, namely the HDI data which should be in the high category but classified into the low category by the bagging method. Based on the results of calculations with 25 replications, it can be concluded that the bagging method has a very good performance, with an accuracy value of 92.3%, the sensitivity of 100%, and specificity of 83.33%. The bagging method is considered very good for the classifying the HDI by district/city in Indonesia in 2020 because it has a balanced accuracy of 91.67%.
Pemodelan Tingkat Pengangguran Terbuka di Pulau Sumatera Dengan Menggunakan Regresi Nonparametrik Spline Mardiyah Muhgni; Ferdian Fadly; Arisman Adnan; Harison Harison
Jurnal Sains Matematika dan Statistika Vol 6, No 1 (2020): JSMS Januari 2020
Publisher : Universitas Islam Negeri Sultan Syarif Kasim Riau

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24014/jsms.v6i1.9255

Abstract

Pengangguran merupakan permasalahan yang harus diselesaikan karena dapat berdampak buruk pada perekonomian suatu daerah tidak terkecuali di Pulau Sumatera. Beberapa provinsi di Pulau Sumatera bahkan memiliki tingkat pengangguran terbuka di atas level nasional. Terdapat beberapa faktor yang dapat mempengaruhi Tingkat Pengangguran Terbuka, diantaranya Pertumbuhan Ekonomi (PE) dan Tingkat Partisipasi Angkatan Kerja (TPAK). Penelitian ini bertujuan untuk menganalisis pengaruh kedua variabel tersebut terhadap Tingkat Pengangguran Terbuka (TPT). Analisis data menggunakan Regresi Nonparametrik Spline, dimana metode ini mampu mengestimasi data yang tidak memiliki pola tertentu. Hasil analisis menunjukkan bahwa Pertumbuhan Ekonomi dan Tingkat Partisipasi Angkatan Kerja memiliki pengaruh negatif yang signifikan terhadap Tingkat Pengangguran Terbuka . Setiap penambahan 1% Pertumbuhan Ekonomi maka akan mengurangi 0,303% TPT. Sementara itu setiap penambahan 1% Tingkat Partisipasi Angkatan Kerja maka akan mengurangi 0,359% TPT di pulau Sumatera. Model yang dihasilkan mampu menjelaskan 58,2% variasi dari TPT nya (Adj R-Square). Selain itu, penambahan titik knot pada model spline ternyata belum tentu meningkatkan Adj.R-square model. Sementara itu, penentuan titik knot yang tepat dapat meningkatkan Adj. R square dari model yang dihasilkan.
PENAKSIR RASIO REGRESI MENGGUNAKAN KOEFISIEN KURTOSIS DAN KOEFISIEN VARIASI UNTUK RATA-RATA POPULASI Endah Dwi Jayanti; Arisman Adnan; Sigit Sugiarto
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This paper  studies  three regression ratio estimators  for  population mean Y of the variable  Y  using information on two auxiliary variables  X  dan  Z  under simple random sampling without replacements.  This discussion is  a review  from the article of Singh  et al.  [Statistics  in Transition  10(1): 85-100].    All estimators are biased. The efficient estimator is  the  one with the  minimum  Mean Square Error (MSE), determined by comparing each type of the estimators.
KOMBINASI PENAKSIR RASIO-PRODUK EKSPONENSIAL UNTUK RATA-RATA POPULASI MENGGUNAKAN PROPORSI PADA SAMPLING GANDA Nike Syelfina; Arisman Adnan; Sigit Sugiarto
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

The estimators discussed in this paper are the exponential ratio estimator, the  exponential product estimator and the combination of exponential product and exponential ratio estimator on double sampling using proportion which is a review of the article written by Singh et. al. [Pakistan Journal of Statistics and Operations Research, 1(2): 18-32]. The three proposed estimators are biased. Hence, their mean square errors (MSE) are evaluated. Furthermore, the MSE are compared to obtain the most efficient one. Combination of exponential product and exponential ratio estimator on double sampling using proportion is the most efficient estimator among the other estimators.
PENAKSIR RASIO UNTUK VARIANSI POPULASI MENGGUNAKAN KUARTIL DARI KARAKTER TAMBAHAN PADA SAMPLING ACAK SEDERHANA Asri Elvita; Arisman Adnan; Haposan Sirait
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 1 (2014): Wisuda Februari 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This paper discusses three ratio estimators for population variance in simple randomsampling using quartiles of the auxiliary variable given by Subramani andKumarapandiyan [International Journal of Statistics and Applications., 2(5): 67-72].The estimators discussed are the ratio estimator using the first quartile, the third quartileand the inter-quartile range. These three estimators discussed are biased estimators.Furthermore, their mean square errors are compared to show which one is the mostefficient estimator. This comparison shows that the ratio estimator using inter-quartilerange is the most efficient estimator.
PENAKSIR RASIO-CUM-DUAL UNTUK VARIANSI POPULASI PADA SAMPLING ACAK SEDERHANA Siska Yuliati; Arisman Adnan; Haposan Sirait
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article discusses three estimators for estimating population variance in simple random sampling i.e. ratio estimator, dual ratio estimator and ratio cum dual estimator which is a review of the article of Yadav and Kadilar [Journal of Reliability and Statistical Studies, 6 (2013): 29-34]. These there estimators are all biased, and MSE (mean square error) of each estimator can be obtained. Furthermore, these MSE are compared to each other. An example is given to show the efficiencies of estimators.
PENAKSIR PRODUK YANG EFISIEN UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK BERSTRATA MENGGUNAKAN BEBERAPA PARAMETER Icha Yulia; Arisman Adnan; Haposan Sirait
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article is a review of the study conducted by Kadilar [Journal of Statistical Planning and Inference, 139:2552-2558]. This article introduces three product estimators for the population mean in stratified random sampling using coefficient of variation, standard deviation, and coefficient of kurtosis. These estimators are biasedestimators.  Then, the mean square errors of each estimator are compared for showing which one is the most efficient estimator. An example is given at the end of the discussion.
PENAKSIR RASIO PROPORSI YANG EFISIEN UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK BERSTRATA Devri Maulana; Arisman Adnan; Haposan Sirait
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 2 (2014): Wisuda Oktober 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

In this article we review three proportion ratio estimators for the population mean on stratified random sampling, i.e. traditional proportion ratio estimator, proportion ratio estimator  using coefficient of regression, and proportion ratio estimator  usingcoefficient of regression and curtosis as discussed by Singh and Audu [5]. The three estimators  are  biased  estimators,  then  the  mean  square  error  of  each  estimator  is determined.  Furthermore, these mean square errors are compared to each other. This comparison shows that the proportion ratio estimator using coefficient of regression and curtosis more efficient than other estimators. 
PENAKSIR RATIO-CUM-PRODUCT YANG EFISIEN UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK SEDERHANA MENGGUNAKAN KOEFISIEN VARIASI DAN KOEFISIEN KURTOSIS Liza Yarmanita; Arisman Adnan; Firdaus '
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 1, No 1 (2014): Wisuda Februari 2014
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

This article reviews three ratio-cum-product estimators for the population mean insimple random sampling. The coefficient of variation and the coefficient of kurtosis ofauxiliary variables are used. This article is the review of Tailor’s et. al. Article[Communications of the Korean Statistical Society 18(2):155-164]. The estimatorsdiscussed are ratio-cum-product estimator, type 1 and type 2 ratio-cum-productestimators using coefficient of variation and coefficient of kurtosis. These estimators arebiased. Then, the mean square errors (MSE) of each estimator are compared to showwhich one is the most efficient estimator. The type 2 ratio-cum-product estimator usingthe information on coefficient of variation and coefficient of kurtosis is the mostefficient estimator among the other two estimators.