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2023/2024
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Design of Experiments

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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:

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:

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 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-05-29
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