DESIGN OF EXPERIMENTS | 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.