Course detail

Models of regression

FAST-DAB037Acad. year: 2022/2023

Multidimensional normal distribution, conditional probability distribution. Regression function. Linear regression model. Nonlinear regression model. Analysis of variance. Factor analysis. The use of statistical systems for regression analysis.

Language of instruction

Czech

Number of ECTS credits

10

Mode of study

Not applicable.

Guarantor

prof. RNDr. Josef Diblík, DrSc.

Department

Institute of Mathematics and Descriptive Geometry (MAT)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Basics of the theory of probability, mathematical statistics and linear algebra - the normal distribution law, numeric characteristics of random variables and vectors and their point and interval estimates, principles of the testing of statistical hypotheses, solving a system of linear equations, inverse to a matrix.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

1. Multidimensional normal distribution, conditional probability distribution.
2. Regression function.
3.–5. Linear regression model.
5.–7. General linear regression model.
8. Singular linear regression model.
9.–10. Analysis of variance.
11.–12.Factor analysis.
13. Nonlinear regression model.

Work placements

Not applicable.

Aims

To provide the students with knowledge needed for sophisticated applications of statistical methods.

Specification of controlled education, way of implementation and compensation for absences

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

ANDĚL, J.: Statistické metody. Praha: MatFyzPress, 2007, 299 s. ISBN 80-7378-003-8. (CS)
ANDĚL, J.: Základy matematické statistiky. Praha: MatFyzPress, 2007, 358 s. ISBN 80-7378-001-1. (CS)
WALPOLE, R.E., MYERS, R.H. Probability and Statistics for Engineers and Scientists. 8th ed. London: Prentice Hall, Pearson education LTD, 2007. 823 p. ISBN 0-13-204767-5.  (EN)

Recommended reading

CASELLA, G., BERGER, R.L. Statistical Inference. Belmont: Brooks/Cole Cengage Learning, 2002. ISBN-13 978-0-534-24312-8.  (EN)
HEBÁK, P., HUSTOPECKÝ, J. Vícerozměrné statistické metody 1. Praha: Informatorium, 2007. 253 p. ISBN 8-07-3330356-9.  (CS)
MELOUN, M., MILITKÝ, J.: Statistické zpracování experimentálních dat. Praha: PLUS, 1994, 839 s. ISBN 80-85297-56-6.  (CS)

Classification of course in study plans

  • Programme DPC-V Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-E Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-E Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPA-E Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DKA-E Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-S Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-S Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPA-S Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DKA-S Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-V Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DKA-V Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPA-V Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-K Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-K Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DKA-K Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPA-K Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-M Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPC-M Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DKA-M Doctoral 2 year of study, winter semester, compulsory-optional
  • Programme DPA-M Doctoral 2 year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

Ing. Jan Holešovský, Ph.D.

Syllabus

1. Multidimensional normal distribution, conditional probability distribution.

2. Regression function.

3.–5. Linear regression model.

6.–7. General linear regression model.

8. Singular linear regression model.

9.–10. Analysis of variance.

11.–12.Factor analysis.

13. Nonlinear regression model.