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OUTLIER DETECTION IN OBSERVATION AT MULTIVARIATE LINEAR MODELS WITH LIKELIHOOD DISPLACEMENT STATISTIC-LAGRANGE METHOD Makkulau, Makkulau; Linuwih, Susanti; Purhadi, Purhadi; Mashuri, Muhammad
Jurnal ILMU DASAR Vol 12 No 1 (2011)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

There are two different outliers, i.e outlier in observations and outlier in models. The existing outlier detection method in models is using common Likelihood method. The limitation of this method is the optimal value produced might be not the real optimal values. This research yields a method for outlier detection in multivariate linear models with Likelihood Displacement Statistic-Lagrange method (LDL method). This method uses multiplier Lagrange with constraint the confidence interval of parameter?s vector. This parameter?s vector is obtained from the data set which is outlier free. This parameter estimation process uses numerical method with Karush-Kuhn Tucker condition in nonlinear programming. This method compares between LDL value and the table F value that follows the distribution of F value to indentify the outlier in models.
PENDETEKSIAN OUTLIER DAN PENENTUAN FAKTOR-FAKTOR YANG MEMPENGARUHI PRODUKSI GULA DAN TETES TEBU DENGAN METODE LIKELIHOOD DISPLACEMENT STATISTIC-LAGRANGE Makkulau, Makkulau; Linuwih, Susanti; Purhadi, Purhadi; Mashuri, Muhammad
Jurnal Teknik Industri Vol 12, No 2 (2010): DECEMBER 2010
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (185.131 KB) | DOI: 10.9744/jti.12.2.pp. 95-100

Abstract

There are several problems in industrial process for example problems associated with product quality. In statistics, observation which is significantly different to the average is called outlier. The outlier can give significant influence to the result of modeling, which can affect the decision making. This research develops the outlier detection method using the Likelihood Displacement Statistic method, called Likelihood Displacement Statistic-Lagrange (LDL) method. The LDL method is applied to sugar and molasses production data of Djombang Baru Sugar Factory, Jombang, East Java. The result of this research shows that factors influenced the sugar and molasses production are sugar cane with the dirt less than 5%, sugar cane with the dirt between 5% to 7%, sugar cane with the dirt higher than 7%, and imbibition water
MONITORING VARIABILITAS DARI PROSES SHORT DAN LONG RUN Mashuri, Muhammad
STATISTIKA: Forum Teori dan Aplikasi Statistika Vol 4, No 2 (2004)
Publisher : Program Studi Statistika Unisba

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29313/jstat.v4i2.893

Abstract

One of the problems in the quality improvement is variability monitoring, in such a way so it remains on the threshold. Themain problem in the implementation of process variability monitoring is the parameter estimation before the processproduction is run. . In the short run process or long run process on start up stage the problem is difficult to handle. Thispaper discusses an approach, which enables to do the process variability monitoring for short or long run processes,without historical data for parameter estimation. An illustration of comparison clarifies the mechanism of our discussion.
SPLINE ESTIMATOR IN MULTI-RESPONSE NONPARAMETRIC REGRESSION MODEL Lestari, Budi; Budiantara, Nyoman; Sunaryo, Sony; Mashuri, Muhammad
Jurnal ILMU DASAR Vol 11 No 1 (2010)
Publisher : Fakultas Matematika dan Ilmu Pengetahuan Alam Universitas Jember

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Abstract

In many applications two or more dependent variables are observed at several values of the independent variables, such as at time points. The statistical problems are to estimate functions that model their dependences on the independent variables, and to investigate relationships between these functions. Nonparametric regression model, especially smoothing splines provides powerful tools to model the functions which draw association of these variables. Penalized weighted least-squares is used to jointly estimate nonparametric functions from contemporaneously correlated data. In this paper we formulate the multi-response nonparametric regression model and give a theoretical method for both obtaining distribution of the response and estimating the nonparametric function in the model. We also estimate the smoothing parameters, the weighting parameters and the correlation parameter simultaneously by applying three methods: generalized maximum likelihood (GML), generalized cross validation (GCV) and leaving-out-one-pair cross validation (CV). 
Pendeteksian Outlier dan Penentuan Faktor-Faktor yang Mempengaruhi Produksi Gula dan Tetes Tebu dengan Metode Likelihood Displacement Statistic-Lagrange Makkulau, Makkulau; Linuwih, Susanti; Purhadi, Purhadi; Mashuri, Muhammad
Jurnal Teknik Industri Vol 12, No 2 (2010): DECEMBER 2010
Publisher : Institute of Research and Community Outreach - Petra Christian University

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (185.131 KB) | DOI: 10.9744/jti.12.2.pp. 95-100

Abstract

There are several problems in industrial process for example problems associated with product quality. In statistics, observation which is significantly different to the average is called outlier. The outlier can give significant influence to the result of modeling, which can affect the decision making. This research develops the outlier detection method using the Likelihood Displacement Statistic method, called Likelihood Displacement Statistic-Lagrange (LDL) method. The LDL method is applied to sugar and molasses production data of Djombang Baru Sugar Factory, Jombang, East Java. The result of this research shows that factors influenced the sugar and molasses production are sugar cane with the dirt less than 5%, sugar cane with the dirt between 5% to 7%, sugar cane with the dirt higher than 7%, and imbibition water
DIAGRAM KONTROL MULTIVARIAT SHORT PRODUCTION RUN UNTUK MEMANTAU MEAN DAN VARIABILITAS PROSES rahman, fathur; mashuri, muhammad
J Statistika: Jurnal Ilmiah Teori dan Aplikasi Statistika Vol 9 No 1 (2016)
Publisher : J Statistika: Jurnal Ilmiah Teori dan Aplikasi Statistika

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Abstract

Metode statistik proses kontrol untuk memantau proses jangka pendek (short-run) dengan mempertimbangkan pengukuran multivariat, atau metode diagram kontrol yang terbilang baru ini bisa juga disebut, diagram kontrol multivariat jangka pendek (short-run control chart) untuk memantau proses mean dan variabilitas. Untuk memantau  mean proses pada diagram kontrol digunakan fungsi pengaruh mean dan matriks kovarian yang di harapkan dapat mendeteksi pergeseran kecil, dan untuk mengetahui pergeseran pada variabilitas proses maka digunakan komponen utama dan eigenvalue sebagai  pengaruh fungsi. Teknik yang digunakan bersifat umum, dan pengaruh fungsi dapat digunakan untuk membangun diagram kontrol multivariat jangka pendek (short-run) baik untuk nominal vaule atau estimasi. Metode ini lebih lanjut diterapkan pada data pembuatan pipa bawah laut yang di produksi PT.KHI (Krakatau Hoogeven International) pada periode 2014. Hasil dari penelitian menujukan pergerseran variabilitas proses dan mean proses tidak dapat di deteksi dengan diagram kontrol kovensional, tetapi pergeseran mean dan variabilitas proses dapat di deteksi pada diagram kontrol yang menggunakan fungsi pengaruh mean dan matriks kovarian untuk medeteksi prorses mean, dan pengaruh fungsi komponen utama dan eigenvaluve untuk medeteksi variabilitas proses.
TEORI KEADILAN DALAM PERLINDUNGAN HUKUM BAGI KEPALA DESA DALAM MELAKSANAKAN KEBIJAKAN DESA ( Studi Kasus putusan perkara Nomor 66/Pid.Sus/Tpk/2015/PN. Sby ) Mashuri, Muhammad
MIMBAR YUSTITIA Vol 1 No 1 (2017): Juni 2017
Publisher : MIMBAR YUSTITIA

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Abstract

The village is the lowest organizational structure of government in Indonesia. The formation of political society in Indonesia originated from the village. In running the organization of village government, the village is led by the village head and assisted by the village apparatus. In the structure of the Indonesian governmental organization, the village head includes government officials, in this case the elected village government is based on direct election by the village community with a six-year tenure. The role of the village head is very important in the level of government in Indonesia, because the village policy that will control a government in the region is prosperous or not. With the existence of Article 26 paragraph (3) of Law Number 6 Year 2014 regarding the Village, the legal norm of the Village Head in implementing his policy has been given legal protection that can be used as a basis for seeking justice when dealing with law enforcers. However, philosophically, the legal protection for the Village Head itself must be set forth in a separate legislation, so in implementing its policy, the Village Head feels more confident with the legal certainty of their fate in leading a Village Government so that it will not affect the development and village empowerment.
ANALISA PENGGUNAAN LENSA SILINDER UNTUK MENGUBAH BENTUK BERKAS LASER DIODA MENJADI BENTUK GARIS Mashuri, Muhammad; ', Minarni; ', Sugianto
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

A research on the application of cylindrical lenses to change beam shape of diode lasers from  eliptical to line shape has been conducted.  The beam characteristic of the lasers before and after using the lenses were analyzed by a calibrated photodiode and a CCD camera. The distance between CCD camera and the lenses were also varied to obtain the optimal length of the line.  The diode lasers used were  λ=830 nm Coherent diode laser with beam size 0,6 mm and 0,9 mm in x and y axis and  λ=638 nm Aixiz diode laser with beam size 1,2 mm and 1,6 mm in x and y axis were used.  Three  cylindrical lenses with three  different focal length were used whice were 50 mm, 75 mm, and 95 mm respectively.  The results showed that the maximum line lengths (L) of  λ=830 nm diode laser were 1,86 mm, 2,55 mm, and 1,39 mm respectively. For the  λ=638 nm diode laser the maximum line length (L) were 3,74 mm, 4,32 mm, and 3,87  mm respectively to the same focal length. The result also showed that the bigger λ produced the shorter line (L) than the smaller λ. For the biggest focus need the longest distance (z) to produce the longest line.
ESTIMASI PARAMETER DAN UJI HIPOTESIS PADA MODEL LINEAR MULTIVARIAT DENGAN METODE LDL Makkulau, Makkulau; Linuwih, Susanti; Purhadi, Purhadi; Mashuri, Muhammad; Pane, Rahmawati
Jurnal Matematika Sains dan Teknologi Vol 11 No 1 (2010)
Publisher : LPPM Universitas Terbuka

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Abstract

Outliers are observations (data) that lies in an abnormal distance from other observations. Outliers can be distinguished into outliers of univariate or multivariate observation and outliers of univariate or multivariate linear models. Multivariate linear model is a linear model with more than one dependent (response) variables. This research studied parameter estimation and hypothesis test for multivariate linear model using Likelihood Displacement Statistic-Lagrange Method called as LDL method for detecting outlier observations in multivariate linear models with the LDLAm statistical test.