Statistics and Design of experimentsLaajuus (4 ECTS)

Objective

The student will know the basics of probability and statistical analysis and is able to use them for different applications. The student understands the principles of statistical inference.

The student understands the principles of experiment design and is able to compare methods using ANOVA and other statistical tests. The student makes a two factor experiment design and carries out the experiments.

Content

Probability basics. Random variable, distribution, expected value and variance. Common probability distributions with applications. Basics of statistical analysis: sampling, estimation, hypothesis testing, correlation and linear regression. Experimental design and one- and two-way ANOVA. Two factor experimental optimization using gradient step and quadratic function. The use of Excel in solving statistical problems.

Qualifications

Previous courses in mathematics

Assessment criteria, satisfactory (1)

The student understands the concept of probability, the classical and statistical approaches to probability and basic concepts relating to probability distributions. The student is able to use the basic rules of probability, knows the most common probability distributions and is able to use the computer to calculate probabilities relating to them. The student knows the concepts of sample and population and the basic ideas of statistical analysis.

The student understands the principles of experiment design and is able to compare methods using ANOVA and other statistical tests using Excel. The student makes a two factor experiment design and carries out the experiments.

Assessment criteria, good (3)

In addition to the above requirements, the student is able to solve simple problems relating to the most common probability distributions also without a computer. The student knows the concept of confidence interval and the basic principles of statistical testing, and is able to solve simple practical problems relating to them.

The student is able to apply statistical methods to analyze and design practical applications. The student is capable to compare methods using ANOVA and other statistical tests.

Assessment criteria, excellent (5)

In addition to the above requirements, the student has a deep understanding of the topics covered in the course and is able to apply them creatively, sensibly and critically in different applications. The student understands the possibilities of the methods but also their limitations.