Design of Experiments
Försöksplanering

FMSF65F, 7.5 högskolepoäng

Gäller från och med: Autumn 2020
Beslutad av: Professor Thomas Johansson
Datum för fastställande: 2020-08-26

Allmänna uppgifter

Avdelning: Mathematical Statistics
Kurstyp: Gemensam kurs, avancerad nivå och forskarnivå
Kursen ges även på avancerad nivå med kurskod: FMSF65
Undervisningsspråk: English

Syfte

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.

Mål

Kunskap och förståelse

För godkänd kurs skall doktoranden

• 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.

Färdighet och förmåga

För godkänd kurs skall doktoranden

• 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

Kursinnehåll

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.

Kurslitteratur

• 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.

Kursens undervisningsformer

Undervisningsformer: Föreläsningar, laborationer, övningar, projekt

Kursens examination

Examinationsformer: Skriftlig tentamen, skriftlig rapport
Betygsskala: Underkänd, godkänd
Examinator: Senior lecturer Johan Lindström

Antagningsuppgifter

Förutsatta förkunskaper: Basic mathematical statistics knowledge and programming experience.

Kurstillfällesinformation

Startdatum: 2021-03-21
Slutdatum: 2021-06-06
Kursfart: Half time

Kontaktinformation och övrigt

Kursansvarig: Johan Lindström <johan.lindstrom@matstat.lu.se>
Hemsida: www.maths.lth.se/matstat/kurser/fmsf65/