Kursusoversigt
Kursusbeskrivelse
 Kursusnavn (dansk): Applied Statistics Kursusnavn (engelsk): Applied Statistics Semester: Efterår 2017 Udbydes under: Bachelor i datavidenskab (b-ds) Omfang i ECTS: 7,50 Kursussprog: Engelsk Kursushjemmeside: https://learnit.itu.dk Min. antal deltagere: 25 Forventet antal deltagere: 0 Maks. antal deltagere: 70 Formelle forudsætninger: The course is mandatory for first semester BSc in Data Science students. The course is only open for students enrolled in BSc in Data Science. Læringsmål: After the course the student should be able to: Apply fundamental definitions and theorems from probability theory and statistics Perform basic computations on random variables and simulate random variables using R Perform basic statistical modelling and inference (estimation and hypothesis testing) using mathematical analysis and in R Analyse sampling distribution of estimators using both mathematical tools and simulation (bootstrapping) with R Present a statistical analysis in a clear way that allows the reader to understand the conclusions and the assumptions they are based on Do basic programming and data manipulation in R Identify statistical problems in a given data analysis Fagligt indhold: The course introduces the students to probability theory and applied statistics. It will focus on understanding the theoretical foundations of statistics and on applying the theory using mathematical analysis and simulations in R. The subjects covered in the course include: probability spaces, random variables, conditional and joint probability, independence, expectation, variance, correlation and covariance, simulation of random variables, law of large numbers, central limit theorem, explorative data analysis, statistical models, bootstrapping, maximum likelihood estimation, confidence intervals, hypothesis testing. Læringsaktiviteter: 14 ugers undervisning bestående af forelæsninger og øvelserThe lectures will introduce the theory and give examples of apply the theory. The weekly exercises will train the students on applying the theory and using R. The problems that the students solve in the weekly exercises will prepare the students for the written exam. Obligatoriske aktivititer: 10 individual mandatory hand-in assignments of which 8 must be approved to qualify for the exam. In case that a mandatory assignment is failed, students will be granted a second attempt. Deadlines will be available in LearnIT. Be aware: The student will receive the grade NA (not approved) at the ordinary exam, if the mandatory activities are not approved and the student will use an exam attempt. Eksamensform og -beskrivelse: A22: Skriftlig eksamen (stedprøve) med restriktioner., (7-scale, internal exam)4 hours written exam on premises with all written aids. Restrictions: Access to the internet is not allowed, except access to LearnIT. Students should bring a computer with the R programming language installed (with packages as specified by the teachers). Litteratur udover forskningsartikler: Dekking, Kraaikamp, Lopuhaä, and Meester. A Modern Introduction to Probability and Statistics: Understanding why and how. Springer-Verlag, 2005.(publisher) or (free online copy) Verzani. Using R for Introductory Statistics, Springer, 2005. (free online copy)