Browsing by Author "Sugiarto, Sigit"
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Item MEAN SQUARE ERROR TERKECIL DARI KOMBINASI PENAKSIR RASIO-PRODUK UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK BERSTRATA(2014-03-25) Kurniati, Rini; Sugiarto, Sigit; Efendi, RustamThis paper discussed about three the ratio-product estimators for mean population in the stratified random sampling. It is combinations of ratio estimator and product estimator in stratified random sampling. This paper is a review from the paper of Tailor et.al. [Communications of the Korean Statistical Society 18:111-118]. The estimators discussed are the combination of ratio-product estimator, combination of ratio-product estimator using coefficient of variation and combination of ratio-product estimator using coefficient of kurtosis. All of estimators are bias estimator. Then the mean square error (MSE) of each estimator is evaluated. Furthermore, the MSE of each estimator is compared. This comparison shows that the combination of ratio-product estimator is the most efficient, that is with the smallest MSEItem MENENTUKAN KOEFISIEN REGRESI EKSPONENSIAL DENGAN METODE KUADRAT TERKECIL SEDERHANA DAN METODE KUADRAT TERKECIL BERBOBOT(2013-07-12) Pahlevi, Riza; Adnan, Arisman; Sugiarto, SigitRelation between two variables x and y are not always linear, but also non-linear. Scatter diagram from non-linear relationship will show a pattern of data points that can be approximated by an exponential curve. The process of determining an exponential curve that best fits a data set called an exponential regression. In order to get the best an exponential regression curve was used a standard least square method with logarithm transformation. However, using this logarithm causes error change from error in the variable y to the error in the variable ln y. To overcome this problem, Glaister Internat. J. Math. Ed. Sci. Tech.. 38 (2007): 422-427 proposes a least square method that is based on applying a weighting in the standard least square method that is based on the error in the logarithm of a variable. This method is called a weighted least square method that we discuss in this article. By comparing these two methods in the case of an exponential data, the performance of the weighted least square method is better than that of the standard least square method.Item METODE ALTERNATIF BARU UNTUK MENGHITUNG DETERMINAN MATRIKS ORDE 3 X 3(2013-05-15) Handoko, Galang Ismu; Natsir, M.; Sugiarto, SigitThis paper discusses a new method to compute the determinant of a matrix of order 3 3 , i.e the determinant computation using three schemes formed by removal the elements of a matrix of order 3 3 . The schemes are easier to understand in computation of the determinant of a matrix of order 3 3 , than the existing method. This new method can be used as an alternative method to compute the determinant of a matrix of order 3 3 , than existing methods, such as Sarrus’s rule, Chio’s condensation method, the triangle rule and the Dodgson’s condensation method. This method is called "New Alternative Method".Item METODE MOVING AVERAGE DAN METODE WINTER DALAM PERAMALAN(2016-04-26) Siagian, Widya Risnawati; Sugiarto, SigitThis paper studies the moving average method and Winter method with numerical application. Both of these models are used to predict the amount of foreign tourist arrivals in city of Batam in 2015 by taking into account the seasonal factor from time series spanned data. Then a comparison is carried out for both forecasting models to select the better forecasting model with minimum mean square error.Item METODE PERAMALAN HOLT-WINTER UNTUK MEMPREDIKSI JUMLAH PENGUNJUNG PERPUSTAKAAN UNIVERSITAS RIAU(2016-02-04) Rosalina, Encik; Sugiarto, Sigit; GamalThis article discusses the use of numerically Holt-Winter method in predicting the number of visitors to University of Riau library. This method is divided into two, additive and multiplicative Holt-Winter methods. Furthermore, the identi cation of the seasonal variance is carried out to select an appropriate Holt-Winter method and to measure the forecasting error numerically based on the mean absolute percentage error.Item NILAI AKUMULASI DARI SUATU CASH FLOW DENGAN TINGKAT BUNGA BERUBAH BERDASARKAN FORMULA FISHER(2013-06-12) Apranda, Devis; Kho, Johannes; Sugiarto, SigitThis paper discusses Fisher’s formula derived from compounding interest rate’s formula. It is used to determine the predicted values of the interest rate which affected by the inflation rate. The accumulation cash flow can be determined from the predicted values for T periods, and Durbin-Watson’s statistic is used to verify the efficiency between predicted and actual values.Item NILAI MAKSIMUM DARI KOEFISIEN KORELASI(2013-05-24) Kurnia, Hangga Mula; Firdaus; Sugiarto, SigitThe strength and dependence between variables is a central problem that we want to know on a lot of research. At the time of perfectly correlation occurs sometimes in some cases the value of size is not reached 1 . In this article discusses the methods used to obtain the maximum value of the correlation measure. The method are simple method, using the Expectation, and model of Association.Item PELATIHAN PEMBUATAN MEDIA PEMBELAJARAN MENGGUNAKAN MICROSOFT POWER POINTUNTUK PARA GURU SD DI KECAMATAN TAPUNG KAB KAMPAR(2013-04-26) Harison,Harison; Sugiarto, Sigit; Zulkarnaini, Zulkarnaini; Muhammad, ImranPenggunaan media khususnya media komputer sangat membantu guru dalam menerangkan obyek suatu pelajaran. Akan teapi banyak sekali guru yang belum mengusai ataupun menyadari peranan komputer sebagai alat bantu dalam media pembelajaran, kebanyakan mereka tau bahwa komputer sangat berperan dalam kebutuhan kantor dan sistim administrasi, dari pengemabdian yang kami lkukan hasilnya cukup menarik para guru mulai menyadari bahwa komputer juga bias berperan dalam alat bantu dalam bidang pengajaran, dan membuat sendiri alat bantu lebih menyenangkan dibanding dengan menggunakan paket yang sudah ada.Item PENAKSIR PARAMETER DISTRIBUSI EKSPONENSIAL PARETO DENGAN METODE MOMEN DAN METODE MAKSIMUM LIKELIHOOD(2016-02-04) Sari, Mayang Novhita; Bustami; Sugiarto, SigitThis articlediscusses the parameter estimator of exponential Pareto distribution. Parameters p are estimated by constans and , using the method of moments and method of maximum likelihood. Method of moments estimator is unbiased estimator and themethod of maximum likelihood estimator is unbiased estimator for 1 andbiasfor 1. Variance of method of moments and mean square error of method of maximum likelihood are obtained using numerical simulation. The simulation results show that the method of maximum likelihood estimator better than the method of moments estimator.Item PENAKSIR RASIO DAN REGRESI MENGGUNAKAN DUA VARIABE TAMBAHAN UNTUK RATA-RATA POPULASI PADA SAMPLING ACAK SEDERHANA(2014-03-25) Fauzi, Saziati; Firdaus; Sugiarto, SigitIn this article we study the ratio estimator, regression estimator and ratio regression estimator using two auxiliary variables in simple random sampling, which is a review from parts of an article Abu-Dayyeh et al. [Applied Mathematics and Computation. 162: 901-908]. The estimators are biased estimators. Then mean square error of each estimator is determined. The estimator with the smallest mean square error is the most efficient estimator. An example is given at the end of discussion.Item PENDETEKSIAN OUTLIER PADA REGRESI LOGISTIK DENGAN MENGGUNAKAN TEKNIK TRIMMED MEANS(2017-01-20) Sarimah; Sugiarto, SigitThis article discusses the outlier of logistic regression. The estimator is obtained through maximum likelihood method. Then numerical approach of Newton-Raphson method is applied. Furthurmore the coefficient of determination R2 is evaluated to interprete the dependent variables which are explained by the independent variables. The next step is the outlier detection by trimming of outlier estimate data in the side X, this technique is an idea from trimmed means. Trimming of data affects the regression model and upgrade the coefficient of determination R2.Item Perbaikan Proses Pembebelajaran Mata Kuliah Analisis I Di Jurusan Matematika Fakultas Matematika Dan ilmu Pengetahuan Alam Universitas Riau(2015-03-07) Sugiarto, Sigit; Wahyuni, ErnaTelah dilakukan penelitian tentang pengajaran tnata kuliah Analisis I untuk mahasiswa jurusan matematika Fakultas Matematika dan flmu Pengetahuan Alam Universitas Riau Tahun Ajaran 1999/2000 (Q3). Perbaikan yang telah dilakukan adalah pembuatan Handout serta persiapan pengajaran yang lebih baik. Untuk melihat hasil perbaikan ini diambil nilai dari hasil akhir pada mata kuliah yang sama pada tahun ajaran 1997/1998 (Ql) dan 1998/1999 (Q3). Sedangkan analisa yang digunakan dengan menggunakan uji analisa variansi satu arah (dan diasumsikan data mempunyai variansi yang sama). Pada hasil statistik tidak menunjukkan perbedaan antara Q3 dengan Q2 dan Q3 hasilnya lebih jelekjika dibandingkan dengan Ql hal ini mungkin karena adanya peibedaan dalam menentukan kriteria pada nilai total.Item TAKSIRAN INTERVAL PARAMETER BENTUK DARI DISTRIBUSI PARETO BERDASARKAN METODE MOMEN DAN MAKSIMUM LIKELIHOOD(2014-03-25) Jamilah; Firdaus; Sugiarto, SigitThis paper discusses the interval estimation of estimator of the shape parameter of the Pareto distribution in the case where the scale parameter is known. To obtain the estimator of parameter , some methods can be used. In this paper we use moment method and maximum likelihood estimation for the data collected under simple random sample, random samples that consist of minimum order statistics and maximum order statistics. Under asumption that sample size of n is large, several estimators of asimptotically normal distributed has been derived. These asymptotic distributions are used to construct confidence interval for Item TAKSIRAN PARAMETER BENTUK, LOKASI DAN SKALA DARI DISTRIBUSI WEIBULL(2016-04-26) Rukiyah, Siti; Bustami; Sugiarto, SigitThis paper is a review of an article proposed by El-Mezouar [4], the methods of moment based method of Cran used to estimate the parameters of the Weibull distribution three parameters where the location parameters is with non-negative. Method of moments based Cran method using a simple procedure with regard location parameters is zeros.Item TAKSIRAN PARAMETER DISTRIBUSI WEIBULL DENGAN MENGGUNAKAN METODE MOMEN DAN METODE MAKSIMUM LIKELIHOOD(2013-03-25) Kristin, Eka Meri; Adnan, Arisman; Sugiarto, SigitIn this paper, the methods of moment and maximum likelihood for estimating parameters of the Weibull distribution that proposed by Razali, et al [4] have been reviewed. Since the estimator of parameters are biased then Mean Square Error are used for comparing these two estimators. Simulation has been conducted using fix sample sizes, several scale and shape parameter. Our study support Razali’s result that the methods of moment is more efficient than methods of maximum likelihoodItem TAKSIRAN YANG LEBIH EFISIEN UNTUK PARAMETER PADA DISTRUSI WEIBULL(2013-03-25) Wati, Erma Kusuma; Sugiarto, Sigit; BustamiIn this paper the authors use the method of maximum likelihood and Bayesian methods to estimate parameters of the Weibull distribution. Prior used for the Bayesian method is Jeffery prior information. The loss function used is the quadratic loss function. Then the computing was done by comparing of the maximum likelihood method and Bayesian method to find the smallest Mean Square Error. The comparison among the discussed methods is done by simulation methods. The estimated parameters of Weibull distribution obtained from the maximum likelihood is the best compared to Bayes using Jeffery prior