Course Details
Theory of errors and adjustment II
Academic Year 2023/24
GE08 course is part of 1 study plan
B-P-C-GK / GI Winter Semester 2nd year
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
Course Guarantor
Institute
Objective
After completing the course, the students should be able touse the complicated types of adjustment and fitting.
Knowledge
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.
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
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
Prerequisites
Surveying and computing on the plane, principle of theory of errors, advance matrix computations
Language of instruction
Czech
Credits
6 credits
Semester
winter
Forms and criteria of assessment
course-unit credit and examination
Specification of controlled instruction, the form of instruction, and the form of compensation of the absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Offered to foreign students
Not to offer
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
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
13 weeks, 2 hours/week, compulsory
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.