FMSF65F

Active

Design of Experiments

7.5

Course given jointly for second and third cycle

7152 (Centre of Mathematical Sciences / Mathematical Statistics)

2020-08-26

Professor Thomas Johansson

English

Every spring semester

This is a basic course in designing experiments and analyzing the resulting data. It is intended for engineers, physical/chemical scientists and scientists from other fields such as biotechnology and biology. The course deals with the types of experiments that are frequently conducted in industrial settings. Its objective is to learn how to plan, design and conduct experiments efficiently and effectively, and analyze the resulting data to obtain objective conclusions. Both design and statistical analysis issues are discussed. Opportunities to use the principles taught in the course arise in all phases of engineering and scientific work, including technology development, new product design and development, process development, and manufacturing process improvement. Applications from various fields of engineering (including chemical, mechanical, electrical, materials science, industrial, etc.) will be illustrated throughout the course.

Simple design with fixed and random effects. Simultaneous confidence intervals. Requirements for analysis of variance: transformations, model validation, residual analysis. Factorial design with fixed, random, and mixed effects. Additivity and interaction. Complete and incomplete designs. Randomised block designs, Latin squares and confounding. Regression and analysis of covariance.

be able to explain and use basic methods in factorial experiments,
be able to explain and use basic methods in analysis of variance with fixed and random effects, regression and analysis of covariance.

be able to plan a factorial experiment,
be able to suggest an experimental plan suitable for a given problem,
be able to structure and analyse sets of data using a computer package and critically examine the result,
be able to, both in written reports and orally at seminars, account for the solutions of statistical problems

Lectures

Laboratory exercises

Exercises

Project

Written exam

Written report

Failed, pass

Basic mathematical statistics knowledge and programming experience.

Box, George E. P., Hunter, J. Stuart & Hunter, W.: Statistics for experimenters: design, innovation, and discovery. Wiley-Blackwell, 2005. ISBN 9780471718130.
Montgomery, Douglas C.: Design and Analysis of Experiments. 2019. ISBN 9781119492443.

FMSF65F

2020-08-26

Professor Thomas Johansson