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Tatik Widiharih
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RANCANGAN D-OPTIMAL UNTUK REGRESI POLINOMIAL DERAJAT 3 DENGAN HETEROSKEDASTISITAS Naomi Rahma Budhianti; Tatik Widiharih; Moch. Abdul Mukid
Jurnal Gaussian Vol 2, No 2 (2013): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (520.015 KB) | DOI: 10.14710/j.gauss.v2i2.2780

Abstract

Suatu model hubungan antara variabel prediktor X dan variabel respon Y, dalam hal ini adalah model regresi polinomial derajat 3 dengan heteroskedastisitas yang mempunyai fungsi bobot .  Permasalahan yang muncul adalah bagaimana memilih titik-titik rancangan X yang akan dicobakan sehingga model menjadi signifikan. Rancangan D-Optimal adalah rancangan dengan kriteria keoptimalan meminimumkan variansi estimator parameter. Jika variansi estimator parameter minimum maka diharapkan parameter dalam model menjadi signifikan sehingga model juga signifikan. Kriteria rancangan D-Optimal didapatkan dengan memaksimumkan determinan matriks informasi atau meminimumkan determinan invers matriks informasi. 
ANALISIS KOVARIAN PADA RANCANGAN BUJURSANGKAR GRAECO LATIN Farda Nur Sa'adah; Tatik Widiharih; Rita Rahmawati
Jurnal Gaussian Vol 6, No 1 (2017): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (641.524 KB) | DOI: 10.14710/j.gauss.v6i1.14761

Abstract

Analysis of covariance (ancova) is a technique that combines features of analysis of variance and regression which is used to increase precision (accuracy) of the experiment. Ancova can be used for any experimental design include Graeco Latin square design. Graeco Latin square design is a combination of two orthogonal Latin square. Two Latin square are orthogonal if they are combined, the same pair of symbols occurs no more than once in the composite square. Application ancova on Graeco Latin square design in the field of agriculture is given to observe the effect of different fertilizer dose towards outcome of corn production. In this experiment there are three blocking factors (soil pH, soil slopes, and corn varieties) and two variable concomitant (quantity of corn plant and quantity of baby corn). The result shows that both of concomitant variables effect are significant. Ancova is better than anova, it can see from the coefficient of variation ancova less than anova, so precision (accuracy) of the experiment is increase. That is why concomitant variable can’t be ignored from the experiment. Keywords: Analysis of Covariance (ancova), Analysis of Variance (anova), Analysis Regression, Graeco Latin square design, Orthogonal.
ANALISIS HUBUNGAN FAKTOR FAKTOR YANG MEMPENGARUHI PREDIKAT PERUSAHAAN ASURANSI UMUM DI INDONESIA PERIODE DESEMBER 2013 – NOVEMBER 2014 Tri Retnaning Nur Amanah; Tatik Widiharih; Sudarno Sudarno
Jurnal Gaussian Vol 5, No 3 (2016): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (817.46 KB) | DOI: 10.14710/j.gauss.v5i3.14713

Abstract

Human life often faces an uncertain situation and risks. In reducing uncertainty, human can protect themselves by choosing an insurance company. One that can be considered in the selection of protection is to observe the predicate of the insurance company. Predicate of general insurance company in Indonesia period December 2013 to November 2014, issued by the research institute Info bank categorized into 4 (four), there are very good, good, good enough and not good. Rating of predicate using factors commonly used to observe the financial performance. Those factors are the Risk Based Capital, the growth of gross premium income, the load (claims, efforts, and commissions) to net premium income, the net income (loss) before taxes compared to averages of equity, the net income (loss) comprehensive compared with the average of equity capital, the liquidity, sufficiency investments and current assets to total assets, the growth of their own capital, their own premium retention on their own capital, the underwriting results compared with net premium, the balance on investment with net premium income, investment of current assets to total assets. This study aims to determine the factors that are supposed to influence the predicate of insurance using ordinal logistic regression. Results of the analysis showed that the growth in gross premium income and load (claims, efforts, and commissions) to net premium income have significant effect (α = 5%) to predicate of insurance.Keywords: ordinal logistic, gross premium, the load to net premium, predicate of insurance.
GUI MATLAB UNTUK KOMBINASI METODE ANALYTIC HIERARCHY PROCESS (AHP) DAN TOPSIS DALAM PEMILIHAN CAFE TERFAVORIT (STUDI KASUS : Pemilihan Cafe Terfavorit di Daerah Tembalang, Semarang) Putri Aulia Netra; Tatik Widiharih; Hasbi Yasin
Jurnal Gaussian Vol 5, No 3 (2016): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1274.726 KB) | DOI: 10.14710/j.gauss.v5i3.14708

Abstract

Tembalang is an area that has many culinary business. One of them is cafe bussiness. This condition causes high competition in attracting consumers to gain profit. According to this situation, we need a method to asses the most favourite cafe based on consumer taste to create cafe as they expected. The methods used in choosing the most favourite cafe are Analytic Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Both of method are the methods used to solve the Multi-Attribute Decision Making (MADM) problem. AHP is used as a method of weighting each criteria by forming pairwise comparison matrix, normalizing pairwise comparison matrix, weighting and testing the consistency of the weight that was gained. Whereas TOPSIS is used to rank the most favorite cafe by calculating the weighted-normalized decision matrix MADM, determining the positive and negative ideal solution, calculating the distance between each alternative with positive and negative ideal solution and calculating the value of preference for each alternatives. There are eight cafes and fourteen criterias. The criterias are the taste of foods and drinks, price, site accessibility, wifi, the neatness of waiters, the hospitality of waiters, waiters’s knowledge about menu, the accuracy of the preparation of the foods and drinks, transaction convenience, varian of menu, the safety and cleanliness of area, handling against misstatement, layout and decoration, and serving. The result of this research is: the most preferred cafe has 0.84322 of preference value.  Preference value which calculated manually has similar result with Graphical User Interface (GUI)  Matlab.Keywords: AHP, TOPSIS, cafe, favorite, preference
OPTIMASI WAKTU EFEKTIF APLIKASI HERBISIDA PADA TANAMAN KELAPA SAWIT (ELAEIS GUINEENSIS JACQ.) DENGAN FUNGSI ESTIMASI DENSITAS KERNEL (Studi Kasus di Perkebunan Sawit PT SMART Tbk, Libo Estate, Riau) Putri Aulia Wahyuningsih; Tatik Widiharih; Hasbi Yasin
Jurnal Gaussian Vol 1, No 1 (2012): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (574.343 KB) | DOI: 10.14710/j.gauss.v1i1.911

Abstract

Palm oil agribusiness is one of potential source to accelerate economic growth in Indonesia. Palm oil is the raw material to produce CPO (Crude Palm Oil) which is source of vegetable oil that is needed by all people. This research used a combination of 16 treatments of type and dose  of herbicide on oil palm trees. Purposes of this research are to determine the optimal timing of herbicide applications and determine the treatment that maximizes efficacy of weed. Optimal timing of herbicide applications to the palm trees is determined through the largest mean of bootstrap resample and plot of kernel epanechnikov density estimation. Optimal treatment is determined through the largest mean of bootstrap resample, the smallest variance resample, the smallest range of bootstrap percentile confidency interval, and coverage probability that close to 1-α. Result obtained is the optimal timing of herbicide applications to oil palm trees is 8 weeks after applications. And optimal treatment is Tricalon 318 EC at a dose of 1500 cc.