Syllabus 2010/2011 FMS072

Syllabus academic year 2010/2011
(Created 2010-07-25.)

DESIGN OF EXPERIMENTS

FMS072

Credits: 7,5. Grading scale: TH. Cycle: G2 (First Cycle). Main field: Technology. Language of instruction: The course might be given in English. FMS072 overlaps following cours/es: MAS209 and MASC05. Alternative for: W3. Optional for: D4, E4, E4ssr, F4, F4bm, MWIR2, N4, Pi4, Pi4bm, Pi4mrk. Course coordinator: Anna Lindgren, Director of studies, anna@maths.lth.se, Mathematical Statistics. Recommended prerequisits: Basic mathematical statistics and Matlab. The course might be cancelled if the number of applicants is less than 16. Assessment: Written reports as well as compulsory and active participation in the seminars. Further information: The course is also given at the Faculty of Science with the code MASC05. Home page: http://www.maths.lth.se/matstat/kurser/fms072/.

Knowledge and understanding
For a passing grade the student must

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.

Skills and abilities
For a passing grade the student must

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

Contents
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.

Literature
Montgomery, D.C: Design and Analysis of Experiments, 5th edition. Wiley 2001.