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All Journal JURNAL MATEMATIKA STATISTIKA DAN KOMPUTASI ESTIMASI: Journal of Statistics and Its Application STATISTIKA
Nasrah Sirajang
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Decision Sciences, Operations Research & Management Mathematics

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Bagan Kendali Rasio Likelihood dan Aplikasinya pada Data Kurs Mata Uang dan Industri Andi Fitri Ayu; Erna Tri Herdiani; Saleh AF; Nasrah Sirajang
Jurnal Matematika, Statistika dan Komputasi Vol. 10 No. 1: July 2013
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (684.883 KB) | DOI: 10.20956/jmsk.v10i1.3409

Abstract

RANCANGAN FRACTIONAL FACTORIAL (FF) 3^(k-p) DAN PENGGUNAAN METODE BISSELL UNTUK MENGIDENTIFIKASI FAKTOR SIGNIFIKAN NIKI ARISKI; Anisa Anisa; NASRAH SIRAJANG
Jurnal Matematika, Statistika dan Komputasi Vol. 11 No. 1: July 2014
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (552.024 KB) | DOI: 10.20956/jmsk.v11i1.3426

Abstract

ANALISIS KOVARIANSI DALAM RANCANGAN BUJURSANGKAR YOUDEN DENGAN DATA HILANG ENDY NUR CAHYANTO; Nasrah Sirajang; Saleh AF
Jurnal Matematika, Statistika dan Komputasi Vol. 11 No. 2: January 2015
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (353.987 KB) | DOI: 10.20956/jmsk.v11i2.3434

Abstract

Penelitian ini bertujuanuntukmenjelaskan analisis kovariansi pada rancangan bujursangkar youden dan menjelaskan penerapan kovariansi pada rancangan bujursangkar youden dengan data hilang. Data yang hilang tersebut diduga terlebih dahulu kemudian dianalisis. Adanya variabel konkomitan akan mempengaruhi tingkat ketelitian suatu percobaan karena variabel ini berpengaruh terhadap variabel respon dan tidak dapat dikendalikan oleh perlakuan yang dicobakan. Penyelesaian terhadap adanya variabel konkomitan tersebut dapat dilakukan dengan analisis kovariansi. Dalam menyusun uji analisis kovariansi terlebih dahulu melakukan uji asumsi yang harus dipenuhi. Pada penerapan ini dilihat pengaruh pemberian dosis pupuk varietas padi terhadap hasil gabah, dengan variabel kolom berupa jenis tanah dan variabel baris berupa kelompok petak sawah dan variabel konkomitannya adalah banyaknya anakan per rumpun. Hasil uji analisis kovariansi adalah tidak ada pengaruh pemberian dosis pupuk varietas padi, kelompok petak sawah, jenis tanah terhadap hasil gabah. Dilihat dari perbandingan koefisien keragaman data lengkap dan data hilang bahwa analisis kovariansi dapat memberikan hasil yang lebih baik dibandingkan dengan analisis variansi.
Penaksiran Parameter dari Variansi Vektor pada Pengujian Hipotesis Kesamaan Matriks Kovariansi Nasrah Sirajang
Jurnal Matematika, Statistika dan Komputasi Vol. 13 No. 1: July 2016
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (451.655 KB) | DOI: 10.20956/jmsk.v13i1.3486

Abstract

Variansi vektor merupakan salah satu ukuran dispersi data, yang didefinisikan sebagai jumlah dari semua elemen diagonal matriks kovariansi. Paper ini membahas tentang penaksiran parameter dari variansi vektor yang digunakan pada pengujian hipotesis kesamaan matriks kovariansi. Yang dilakukan dalam menguji kesamaan matriks kovariansi adalah menentukan taksiran tak bias dari rataan dan variansi, dengan memamfaatkan  metode momen. 
Metode Elemen Batas pada Persamaan Integral Batas Nasrah Sirajang; Muhdaniar Darwis
Jurnal Matematika, Statistika dan Komputasi Vol. 13 No. 2 (2017): January 2017
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (540.94 KB) | DOI: 10.20956/jmsk.v13i2.3494

Abstract

Metode Elemen Batas (MEB) atau disebut juga Boundary Element Method adalah suatu metode numerik yang digunakan untuk menyelesaikan berbagai macam permasalahan dalam ilmu pengetahuan dengan persamaan pengatur berupa persamaan diferensial parsial eliptik. Dalam tulisan ini akan ditunjukkankan pembentukan MEB menuju solusi numerik dari masalah nilai batas eliptik pada persamaan Laplace dua dimensi (2D) dengan media anisotropik. Dari hasil numerik yang diperoleh dapat disimpulkan bahwa MEB bekerja dengan baik untuk menyelesaikan permasalahan ini. 
ANALISIS KOVARIANSI RANCANGAN PETAK TERBAGI PADA RANCANGAN ACAK KELOMPOK (RAK) DENGAN DATA HILANG YULIANA.DEWI Putri; Nasrah Sirajang; Nurtiti Sunusi
Jurnal Matematika, Statistika dan Komputasi Vol. 14 No. 2 (2018): January 2018
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (397.883 KB) | DOI: 10.20956/jmsk.v14i2.3549

Abstract

Pada skripsi ini akan di kaji analisis kovariansi rancangan petak terbagi (split plot design) pada Rancangan Acak Kelompok (RAK) dengan satu data hilang. Analisis kovariansi pada rancangan petak terbagi dilakukan melalui dua analisis yaitu analisis petak utama dan analisis anak petak. Sebagai aplikasi selanjutnya diberikan studi kasus pada percobaan dengan satu data hilang. Dari  hasil analisis rancangan petak terbagi pada Rancangan Acak Kelompok (RAK) dengan satu data hilang diperoleh nilai koefisien keragaman dari analisis variansi lebih kecil dibandingkan analisis kovariansi. Hal ini menunjukkan analisis variansi lebih baik dibandingkan analisis kovariansi pada rancangan petak terbagi (split plot design) pada Rancangan Acak Kelompok (RAK) dengan satu data hilang. 
MONITORING VARIABILITAS PROSES BERDASARKAN STATISTIK WILKS Suci Barlian Sari; Erna Tri Herdiani; Nasrah Sirajang
Jurnal Matematika, Statistika dan Komputasi Vol. 16 No. 1 (2019): JMSK, July, 2019
Publisher : Department of Mathematics, Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (9.966 KB) | DOI: 10.20956/jmsk.v16i1.6485

Abstract

In a manufacturing industry quality problems often occur. One of the main cause is due to variability process. Variability process is a variation that occurs in the process, both in manufacturing and non-manufacturing processes. One method for monitoring variabiliti process is by using Wilks Statistics. Wilks statistics is a method that is used based on individual observations. This study aims to monitor the variability of the process and apply it to Electric Resistance Welded (ERW) pipes with the Wilks statistical method. In addition, a capability process analysis is also carried out when the Wilks control chart has been controlled. The result showed that all observations carried out individually were in control limit with a capability process of  2.5386, which means the process capability of ERW pipe production using a multivariate Wilks statistical control chart was capable and match  with the specifications limit specified by company.
Penggunaan Analisis Korespondensi Sederhana dalam Pemetaan Wilayah Potensi Bencana di Provinsi Sulawesi Tengah Iis Cendrah Kasih; Georgina Maria Tinungki; Nasrah Sirajang
ESTIMASI: Journal of Statistics and Its Application Vol. 2, No. 1, Januari, 2021 : Estimasi
Publisher : Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/ejsa.v2i1.10234

Abstract

Disaster cases need to be analyzed considering that when a disaster occurs it will have an extraordinary impact. The statistical method that can be used to study disaster cases is a simple correspondence analysis. This study aims to map areas with the potential for natural disasters in the province of Central Sulawesi. So, in the analysis, regions are grouped according to row profile values that are greater than the average. The result of simple correspondence analysis obtained flood disaster has the potential to occur in Banggai, Morowali, Donggala, Buol, Parigi Moutong, Tojo Una-una, Sigi, and North Morowali. While the dominant tornado disaster occurred in Banggai Kepulauan, Banggai, Poso, Toli-toli, Parigi Moutong and Sigi. For regional landslides with potential Banggai Islands, Donggala, Toli-toli, Parigi Moutong, and Sigi. Then Banggai Islands and the City of Palu are the dominant regions for earthquake disasters. The results of the grouping can be the basis of government and community focus in tackling the dominant disasters occurring in their respective regions so as to minimize the impact when natural disasters occur.
Penerapan Metode Linearized Ridge Regression pada Data yang Mengandung Multikolinearitas Mukrimin Adam; Sitti Sahriman; Nasrah Sirajang
ESTIMASI: Journal of Statistics and Its Application Vol. 4, No. 1, Januari, 2023 : Estimasi
Publisher : Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/ejsa.vi.19081

Abstract

One of the assumptions that must be met in the multiple linear regression model is that there is no multicollinearity problem among the independent variables. However, if there is a multicollinearity problem, then parameter estimation can be done using the linearized ridge regression (LRR) method. The LRR method has the advantage of choosing an optimal constant that is easy to determine and also has a minimum PRESS value. In this study, the infant mortality rate in South Sulawesi Province will be modeled using the LRR method based on the variables of the amount of vitamin A given, the number of health services, the number of babies born with low weight, the number of mothers who give birth assisted by medical personnel, and the number of babies who are breastfed. exclusive. One measure to see the goodness of the regression model is the Prediction Error Sum of Squares (PRESS). Based on the t-test at a significance level of 5%, the total coverage of vitamin A administration and the number of babies born with low weight gave a significant effect on infant mortality with a PRESS value of 0.6846.
Pemodelan Geographically Weighted Logistic Regression dengan Metode Ridge Reski Amalah; Andi Kresna Jaya; Nasrah Sirajang
ESTIMASI: Journal of Statistics and Its Application Vol. 4, No. 2, Juli, 2023 : Estimasi
Publisher : Hasanuddin University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20956/ejsa.v4i2.12250

Abstract

One of the goals of national development is to reduce poverty. Poverty is included in the phenomenon of spatial heterogeneity because it can be shown by the varying economic conditions in each region. The statistical modeling method developed for data analysis takes into account regional factors namely Geographical Weighted Logistic Regression (GWLR). The parameter estimator of the GWLR semiparametric model used in this study was obtained using the Maximum Likelihood Estimation method. In GWLR, the assumption that must be fulfilled is the absence of multicollinearity. One method for dealing with multicollinearity is ridge regression involving the addition of a constant bias . The results obtained were the MSE value of the parameter estimator with the ridge method (707.77) smaller than the GWLR model before using the ridge (715.88). This shows that the ridge method is more effective if there are multicollinearity problems.
Co-Authors Andi Fitri Ayu Andi Kresna Jaya Anisa Anisa ENDY NUR CAHYANTO Georgina Maria Tinungki Herdiani, Erna Tri Iis Cendrah kasih Muhdaniar Darwis Mukrimin Adam Nasruddin, Nurmasyita NIKI ARISKI NURTITI SUNUSI Ratmila Mammi Reski Amalah Saleh AF Sitti Sahriman Suci Barlian Sari YULIANA.DEWI Putri