Course detail

Design of Experiment

FSI-9PLEAcad. year: 2025/2026

Introduction. Strategy for experimental design. Interaction. Two-dimensional models. Orthogonal design. Rotatable design. Central composite design. Mixture design

Language of instruction

Czech, English

Mode of study

Not applicable.

Guarantor

Ing. Pavel Hrabec, Ph.D.

Department

Institute of Mathematics (ÚM)

Entry knowledge

None

Rules for evaluation and completion of the course

Exam will consist of a presentation of student's own usage of design of experiment (DoE) preferably in a field of student's own research/interest.
Lecture optional

Aims

The aim of the course is to acquaint students with the basic procedures used in effective experimentation and corresponding statistical analysis. The task of the course is to show that it is not enough to do it some experiment, but it is most necessary to look at the results after analysing the resulting model.
Student will be able to plan and statistically evaluate scientific experiment.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Himmelblau, D.M.:: Process Analysis by Statistical Methods.. John Wiley & Sohns. New York, 1969.
Montgomery, D.C.:: Design and Analysis of Experiments.. John Wiley & Sons. New Zork, 1991.

Recommended reading

Felix, M.; Bláha, K.:_: Matematickostatistické metody v chemickém průmyslu.. SNTL. Praha, 1962.
Jarošová, E.:: Navrhování experimentů.. EO VŠE. Praha, 1998.

Classification of course in study plans

  • Programme D-IME-P Doctoral 1 year of study, summer semester, recommended course

Type of course unit

 

Lecture

20 hod., optionally

Teacher / Lecturer

Ing. Pavel Hrabec, Ph.D.

Syllabus

1. Introduction
2. Linear regression.
3. Regression diagnostic.
4. DoE intro.
5. Factorial 2^k DoE.
6. Blocks and ceter points in factorial DoE.
7. DoE with covariate
8. Partial (fractional) factorial plans
9. Central composite design
10. Mixture design.