Design of Experiments
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
01NAEX | Z,ZK | 3 | 2P+1C | Czech |
- Garant předmětu:
- Jiří Franc
- Lecturer:
- Jiří Franc
- Tutor:
- Jiří Franc
- Supervisor:
- Department of Mathematics
- Synopsis:
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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.
- Requirements:
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
- Study materials:
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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
- Note:
- Time-table for winter semester 2024/2025:
- Time-table is not available yet
- Time-table for summer semester 2024/2025:
- Time-table is not available yet
- The course is a part of the following study plans:
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- Aplikované matematicko-stochastické metody (compulsory course in the program)