Design of Experiments

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:

• Aplikované matematicko-stochastické metody (compulsory course in the program)