Design of Experiments
Code  Completion  Credits  Range 

01NEX  KZ  4  2+1 
 Garant předmětu:
 Tomáš Hobza
 Lecturer:
 Tomáš Hobza
 Tutor:
 Tomáš Hobza
 Supervisor:
 Department of Mathematics
 Synopsis:

For processes of any kind that have measurable inputs and outputs, Design of Experiments (DOE) methods help us in the optimum selection of inputs for experiments, and in the analysis of results. The course consists of selected methods of DOE such as: completely randomized design, randomized block design, Latin squares design and two level factorial experiments.
 Requirements:

Basic course of Calculus and Probability (in the extent of the courses 01MAB3, 01MAB4 and 01PRST held at the FNSPE CTU in Prague).
 Syllabus of lectures:

1. Introduction to design of experiments and analysis of their results
2. Completely randomized singlefactor design: introduction of model with fixed effects, tests of equality of means, choice of the sample size, check of suitability of model, test of equality of variances, transformation to obtain homoscedasticity, model with random effects, estimates of model parameters, and confidence intervals
3. Methods of multiple comparisons: LSD method, Bonferroni method, Scheffé method, Tukey method
4. Randomized block design: definition of model, test of equality of effects, power of test, choice of the sample size, estimate of the lost values
5. Latin and GraecoLatin squares designs: test of equality of effects, verification of suitability of model, residua, multiple comparisons
6. Two level factorial experiments: statistical models and their properties for 2^2, 2^3 a 2^k designs
 Syllabus of tutorials:

1. Statistical hypothesis testing
2. Comparison of several treatment meana  analysis of variance
3. Randomized block design
4. Latin and GraecoLatin square design
5. Factorial experiments
 Study Objective:

Knowledge:
Basic notions and principles of design and analysis of experiments.
Skills:
Application to solution of practical problems, i.e. ability to design an experiment for a concrete problem and to do its statistical evaluation.
 Study materials:

Key references:
[1] D. C. Montgomery: Design and analysis of experiments, Wiley 2008
Recommended references:
[2] J. Antony: Design of Experiments for Engineers and Scientists, ButterworthHeinemann, 2003
 Note:
 Timetable for winter semester 2023/2024:
 Timetable is not available yet
 Timetable for summer semester 2023/2024:
 Timetable is not available yet
 The course is a part of the following study plans: