3159.22 - Statistics
High school diploma with A-level mathematics or a Marine engineer certificat with mathematics corresponding to A-level mathematics at high school.
The purpose of the course is to give the participants an introduction to descriptive and inferential statistics. A mathematical approach to statistics will be introduced and the participants will become familar with statistical thinking and methods and they will be provide with an understanding of random variation and of the use of statistical models. Important statistical principles for collection and analysis of data will be introduced, and methods for model choice, estimation, testing and model verification will be presented. The participants learn to handle a number of elementary problems which occur frequently in engineering practice and are thus enabled to critically assess statistical (empirical) investigations and references.
Descriptive statistics. Probabilities for an event and stochastic variables. Independent and dependent stochastic variables. Conditional probability. Univariate and multivariate probability distributions. Important classes of univariate probability distributions. Extreme variables. Point estimation, interval estimation and hypothesis testing for one and two sample data. Simple linear regression.
Learning and teaching approaches
Classroom teaching, self studies and written assignments.
On successful completion of the course, the student should be able to: • Estimate and interpret simple summary statistics, such as mean, standard deviation, variance, median and quartiles. • Apply simple graphical techniques, including histograms, normal-score plots, and box plots. • Calculate probabilities for events in simple situations • Identify and describe probability distributions, including Poisson, binomial, exponential and the normal distribution. • Compare different statistical methods. • Apply and interpret important statistical concepts, such as the formulation of models, parameter estimation, construction of confidence intervals and hypothesis testing. • Apply and interpret simulation based statistical methods. • Apply and interpret simple statistical methods within one- and two sample situations and for count data. • Apply and interpret simple statistical methods within simple linear regression and analysis of variance. • Recognise simple statistical standard situations in technology and natural sciences. • Understand and interpret output from some commonly used statistical software. • Perform sample size calculations in simplified and standard setups. • Understand the concepts of statistics and probability sufficient to be able to communicate with a trained statistician about statistical methods.
4-hours written exam with all all usual examination aids (included computers) allowed.
Walpole, Myers, Myers and Ye: “Probability and Statistics for engineers”, global edition (ISBN: 9781292161365).
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