Course detail

Theory of errors and adjustment II

FAST-GE08Acad. year: 2018/2019

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

Language of instruction

Czech

Number of ECTS credits

6

Mode of study

Not applicable.

Guarantor

Ing. Radim Kratochvíl, Ph.D.

Department

Institute of Geodesy (GED)

Learning outcomes of the course unit

The student will be able to master basic methods of theory of errors and calculations in statistics methods. Adjustment calculations.

Prerequisites

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

Co-requisites

Surveying, Numerical methods

Planned learning activities and teaching methods

The course is taught through lectures, practical classes and self-study assignments. Attendance at lectures is optional, but attendance at classes is compulsory.

Assesment methods and criteria linked to learning outcomes

Účast na cvičeních je povinná (2 neúčasti může omluvit cvičící). Píší se 3 písemné testy - součet dosažených bodů ze všech testů musí činit minimálně 50 % součtu dosažitelných bodů ze všech testů. Neabsolvovaný test bude nahrazen v dohodnutém termínu. Ze cvičení musí být vypracovány a uznatelné všechny zadané programy programy. Zkouška má testovou, početní a ústní část. 30% bodů je generováno z hodnocení cvičení. Celkový počet bodů za zkoušku je 100, pro úspěšné absolvování je požadováno 50%.

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

Work placements

Do not required.

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Böhm, J., Hampacher, M., Radouch, V.: Teorie chyb a vyrovnávací počet. Kartografie Praha, 1990. (CS)
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)
Wolf, P. R., Ghilani, Ch. D.: Adjustment Computation. John Wiley, New York, 1997. (EN)

Recommended reading

Kubáčková, L.: Metódy spracovania exp. údajov. Veda Bratislava, 1990. (SK)
Vykutil J.: Teorie chyb a vyrovnávací počet. VUT Brno, 1981. (CS)

Classification of course in study plans

  • Programme B-K-C-GK Bachelor's

    branch G , 2 year of study, winter semester, compulsory
    branch GI , 2 year of study, winter semester, compulsory

  • Programme B-P-C-GK Bachelor's

    branch G , 2 year of study, winter semester, compulsory
    branch GI , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Radim Kratochvíl, Ph.D.

Syllabus

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

Exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Radim Kratochvíl, Ph.D.

Syllabus

1. Repetition and revision of knowledge of Theory of errost and adjustment I
2. Principle of adjustment by elements, observation equations
3. Residuals equations, normal equations and their solution, standard deviation of unit weight
4. Standard deviation, computed quantities
5. Adjustment of condions - conditions, misclosures
6. Linearisation and normal equations
7. Computing of precisions and analysis of errors
8. Mixed adjustment
9. Regression analyssis - line fitting, examples
10. Check of fulfilling the credit conditions, final test, granting of credits.