StatisticsLaajuus (3 ECTS)

Objective

On completion of the course the student will have learnt the basic concepts of probability and be able to apply the rules. The student will understand the basic concepts of random variables and will have learnt to model some random events. The student will be familiar with the most common discrete and continuous distributions. The student will understand the concept of confidence interval and the basics of statistical reasoning. The student will have learnt the basic principles of estimation, statistical tests and statistical process control. The student will be able to interpret measurements statistically, determine regression lines and draw correct conclusions of the relationships between the variables. The student will be able to summarize and interpret data with appropriate plots and measures of central location and dispersion.

Content

The concept of probability and rules. The basic concepts of random variable. The most common discrete and continuous distributions. Basic concepts of statistics, such as measures of central location and dispersion, classification of data, tables and graphs. Estimation of measurement uncertainty. Confidence intervals. Estimation and statistic testing. Basics in statistical process control. Regression analysis. Statistical functions in Excel.

Assessment criteria, satisfactory (1)

The student is able to solve simple problems in the studied topics

Assessment criteria, good (3)

The student is able to solve slightly more demanding problems. When necessary, the student is able to make use of his or her previous knowledge and skills in other fields in mathematics.

Assessment criteria, excellent (5)

The student is able to solve more demanding problems. When necessary, the student is able to make use of his or her previous knowledge and skills in other fields in mathematics and work rather independently.