Course detail

# Theory of errors and adjustment II

Condition adjustment, condition equations, misclosure equations, linearization of condition equations, correlates, standard deviations, condition adjustment with unknowns, adjustment by elements with constraints, hypothesis testing, test of parameters, tests of systematic errors, regression analysis, linear regression, regression curves, analysis of corelation, physical and mathematical corelation, error ellipsis, error ellipsoides

Department

Institute of Geodesy (GED)

Learning outcomes of the course unit

Student gets knowledge of ways of principle of conditions adjustment and solutions the other complicated types of adjustment problems, regression analysis and analysis of correlation.

Prerequisites

Surveying and computing on the plane, principle of theory of errors, advance matrix computations

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Böhm, J., Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet. Kartografie Praha, 1990. (CS)
Wolf, P. R., Ghilani, Ch. D.: Adjustment Computation. John Wiley, New York, 1997. (EN)
Hampacher, M. , Radouch, V.: Teorie chyb a vyrovnávací počet 10. ČVUT Praha, 1997. (CS)
Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet 20. ČVUT Praha, 1997. (CS)
WEIGEL, Josef: Teorie chyb a vyrovnání I - Modul02. VUT, 2010. (CS)
Vykutil J.: Teorie chyb a vyrovnávací počet. VUT Brno, 1981. (CS)
Kubáčková, L.: Metódy spracovania exp. údajov. Veda Bratislava, 1990. (SK)

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Principle of condition Adjustment
2. Condition, misclosure, and linearization condition equations
3. Solution of normal equations, correlates, standard deviations
4. the other types of adjustment, mixed adjustment
5. Test of observations, simple statistic tests
6. Test of normal distribution of sample
7. Analysis of systematic errors in observations
8. Analysis of parameters
9. Linear regression - line fitting
10. Regression analysis - regression curves
11. Harmonic functions
12. Analyssis of corelation, physical and mathematical corelation
13. Helmert curve, error ellipsis, error ellipsoides
14. Laws of propagation corelation observations

Aims

After completing the course, the students should be able touse the complicated types of adjustment and fitting.

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.

Classification of course in study plans

• Programme B-K-C-GK Bachelor's

branch G , 2. year of study, winter semester, 6 credits, compulsory

• Programme B-P-C-GK Bachelor's

branch G , 2. year of study, winter semester, 6 credits, compulsory

• Programme B-K-C-GK Bachelor's

branch GI , 2. year of study, winter semester, 6 credits, compulsory

• Programme B-P-C-GK Bachelor's

branch GI , 2. year of study, winter semester, 6 credits, compulsory

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

26 hours, compulsory

Teacher / Lecturer

eLearning