Module 1 (3 ECTS): Basic Probability Theory. The notions probability, discrete and continuous random variable, probability function, probability density function, cumulative distribution function, expected value, variance, standard deviation, covariance and correlation, are defined. Furthermore, the most common probability distributions for technical applications are treated, with special emphasis on the normal distribution, distributions for linear combinations of normally and non-normally random variables (in the latter case applying the central limit theorem), and approximations of expected values and variances for non-linear functions of random variables.
Module 2 (3 ECTS): Basic Inference Theory with special emphasis on Technical applications. The notions point estimate, unbiasedness, efficiency, hypothesis, significance level, power, type I and II errors, rejection region, p value and confidence level, are defined. The t-, Chi2-, and F-distributions are applied for hypothesis testing and interval estimation for one and two samples. During the course the sign test, Wilcoxon's two sample test, the analysis of contingency tables, basic analysis of variance, and simple and multiple regression analysis, are covered.
Module 3 (1.5 ECTS): Computer Labaorations using Statistical Software.
The course requires 15 ECTS in Mathematics including derivatives and integrals, or corresponding.
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Please note: This application round is intended only for applicants within the EU/EEA and Switzerland.
Online application service in Swedish will open 15 March 2021 at 13:00 CET.
Application deadline is
15 April 2021.
Application and tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.