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04041 Introductory Statistics
Danish title: Statistik 1

Type: Å, Language: DDD
Credit points: 5 point
Previous course: C0401
Offered by: Department of Mathematical Modelling (IMM)
No credit points with: 04040/ C0410/C0401
Desirable: (Kendskab til sandsynlighedsregning)
Recommended semester: 1st - 4th semester
Scope and form: Lectures, 2 hours/week excercises and voluntary homework.
Examination: Written exam (13 point scale )
Remarks: The course is a general course for all ingineering students.
Contact person: Henrik Spliid, IMM, Building 321, Tel. +45 4525 3362
Aim: To give the participants an introduction to statistical concepts and methods so that they are able to: Set up and verify a statistical model for the outcome of (simple) experiments, to estimate unknown parameters in such models (theory of estimation) and to examine whether a given set of data devitates (essentially) from models with parameter values specified in advance (theory of testing). This implies that the participants will learn to analyse contingency tables, to compare the influence of different experimental circumstances on measurements (analysis of variance) and to assess simple, linear relationships (regression analysis).
Contents: Methods for overwieving and analysing a dataset: Imperical distributions, histograms and quantile diagrams. Formulation of a model. Theory of estimation: Properties of estimators, maximum likelihood, least squares and method of moments. Test theory: In one and two sample situations, in contingency tables, non-parametic methods. Model control: Test for randomness, control of distribution law. Analysis of variance: One way and two way analysis of variance, latin squares etc. Regression analysis.