Code: 01NAEX Design of Experiments
Lecturer: Ing. Jiøí Franc Ph.D. Weekly load: 2P+1C Completion: A, EX
Department: 14101 Credits: 3 Semester: W
Description:
1. Introduction to the design of experiments and data analysis.
2. Completely randomized one-factor experiment: introduction of a fixed-effect model, tests of equality of mean values, choice of number of observations.
3. Methods of multiple comparison: Bonferroni method, Scheffy method, Tukey method
4. Randomized complete block design: model definition, equality effects tests, power of test, determining sample size.
5. Latin and Greco-Latin squares, balanced incomplete block design, model adequacy checking, residuals, multiple comparisons.
6. Two factor factorial design: statistical models and their properties for designs 2^2, 2^3 and 2^k, fractional factorial design, resolutions.
7. 3^k factorial designs, confounding in 3^k factorial design.
8. Models with random effects, factorials with mixed levels.
Recommended literature:
Key references:
[1] D. C. Montgomery: Design and analysis of experiments, 9 edition, Wiley 2017
[2] J. Antony: Design of Experiments for Engineers and Scientists, Butterworth-Heinemann, 2003
Recommended references:
[3] R. H. Myers: D. C. Montgomery: Response Surface Methodology: Process and Product Optimization Using Designed Experiments, Wiley 2016
Keywords:
Design of experiments, ANOVA, Data analysis, full randomize experiment, Randomized Blocks, Latin Squares, 2^k and 3^k factorial design, blocking and confounding, mixed models, response surface

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