Publications by Theodora Putrina Gea
Week 6
1 Latihan 12: Maksimalisasi Ekspektasi Di kelas ini kita akan mengimplementasikan algoritma Expectation Maximization untuk memperkirakan parameter Campuran Gaussian. Metode ini menyediakan pengklasifikasi tak terbimbing yang sangat berguna ketika diasumsikan distribusi Gaussian. Misalkan kita ingin memodelkan parameter populasi yang diasumsikan s...
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Optimization4
1 Bisection Method The bisection method is another approach to finding the root of a continuous function \(f(x)\) on an interval \([a,b]\). The method takes advantage of a corollary of the intermediate value theorem called Bolzano’s theorem which states that if the values of \(f(a)\) and \(f(b)\) have opposite signs, the interval must contain a...
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Computational_Statistics
1 Brief Introduction Please watching this video, to get some ideas about Confidence Intervals (CI) 2 CI in Business This video guide you, how can you apply Confidence Intervals in Business. 3 Your Exercise In this section, your expected to get familiar with confidential intervals exercise: 3.1 Exercise 1 Find a point estimate of average univer...
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Week 2
1 Binomial Distribution 1.1 Question What is a binomial distribution in Statistics? What is binomial distribution used for? Please argue 4 requirements needed to be a binomial distribution? Is a binomial distribution a normal distribution? Suppose there are twenty multiple choice questions in an Statistics class quiz. Each question has five pos...
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LPModeling
# Case Study 2 A manufacturing manager is in charge of minimizing the total costs (raw materials, labor and storage costs) of the following four months. In Table 3.1 can be found the cost of raw materials of one unit of final product, the demand of final product and the working hours available for each month. Labor costs are of 12 e per hour, an...
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ComputationalStatistics4
1 Introduction As a data scientist you probably retain or reject hypothesis based on measurements of observed samples. The decision is often based on a statistical mechanism called hypothesis testing. Let’s watching the following video: There are three conditions of having hypothesis testing included: Left Tailed Test: When the \(\bar{x}\) is...
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Optimization5
1 General Optimization In mathematics, nonlinear programming (NLP) is the process of solving an optimization problem where some of the constraints or the objective function are nonlinear. An optimization problem is one of calculation of the extrema (maxima, minima or stationary points) of an objective function over a set of unknown real variables...
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Computational Statistics6
##7 Exercise #7.1 Exercice 1 Please work out in R by doing a chi-squared test on the treatment (X) and improvement (Y) columns in treatment.csv data_frame <- read.csv("treatment.csv") table(data_frame$treatment, data_frame$improvement) ## ## improved not-improved ## not-treated 26 29 ## treated...
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Computational Statistics 8
1 Bab 8 Interferensi dalam Regresi Linier Setelah membaca bagian ini, Anda akan mampu untuk: * Memahami distribusi perkiraan regresi. * Membuat perkiraan interval untuk parameter regresi, respon rata-rata, dan prediksi. * Uji signifikansi regresi. Pada bagian akhir, kita akan mendefinisikan model regresi linier sederhana, \(Y_i=\beta_0+\beta_1x_1...
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Optimization16
1 Soal: Let say you would like to make some sausages and you have the following ingredients available: Ingredient <- c("Chicken","Wheat","Starch") Cost <- c(4.32,2.46,1.86) Availability <- c(30,20,17) Sausage <- data.frame(Ingredient,Cost,Availability) Sausage ## Ingredient Cost Availability ## 1 Chicken 4.32...
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