544-0012/02 – Adjustment (VyPo)
| Gurantor department | Department of Geodesy and Mine Surveying | Credits | 5 |
| Subject guarantor | prof. Ing. Jan Kostelecký, DrSc. | Subject version guarantor | prof. Ing. Jan Kostelecký, DrSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2020/2021 | Year of cancellation | |
| Intended for the faculties | HGF | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
The aim of the course is the acquisition of skills for processing the measured results, the determination of reliable values of the variables measured results and analysis of accuracy.
Teaching methods
Lectures
Tutorials
Summary
This course focuses on the theoretical and practical mastery of methods for the statistical processing and adjustment of geodetic measurements. Students will learn to process redundant measurements, determine the most reliable values of measured quantities, and perform analyses of the accuracy and reliability of results. The course covers the principles of error theory, the law of error accumulation and weights, methods for adjusting direct, intermediate, conditional, and combined measurements, analysis of adjustment results, approximation of functional relationships, regression and correlation analysis, statistical hypothesis testing, and modern robust statistical approaches.
Specialized Knowledge: Students will acquire advanced knowledge of error theory, statistical processing, and adjustment calculations. They will understand the principles of the distribution of random variables, confidence intervals, two-dimensional errors and error ellipses, the law of error accumulation and weights, and individual methods for adjusting geodetic measurements.
Professional Skills: Students are able to independently process the results of redundant measurements, determine the most reliable values of measured quantities, and analyze the accuracy of the results. They can apply adjustment methods for direct, indirect, conditional, and combined measurements, analyze adjustment results, and utilize methods of regression and correlation analysis as well as statistical testing.
General Competence: The student is competent to independently design and apply an appropriate procedure for the statistical processing and adjustment of geodetic measurements, assess the accuracy, reliability, and quality of the results, and, based on the analysis of the results, select appropriate and cost-effective methods of measurement and data processing.
Compulsory literature:
BOHM, J., RADOUCH, V., HAMPACHER, M.: Teorie chyb a vyrovnávací počet, Geodetický a kartografický podnik Praha,1990, 2.vydání
TYRNER, M., ŠTĚPÁNKOVÁ, H.: Vyrovnávací počet, skripta VŠB Ostrava,1993
WEIGEL, J.: Teorie chyb a vyrovnání I - Modul02. skripta VUT Brno, 2010
WOLF, P. R., GHILANI, CH. D.: Adjustment Computation, John Wiley, New York, 1997
EWENS, Warren J. a Katherine BRUMBERG. Introductory Statistics for Data Analysis. Cham: Springer, 2023. DOI 10.1007/978-3-031-28189-1.
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
Development of programs for the individual tasks in the exercise. Written and oral exam.
E-learning
Other requirements
Independence in completing assignments, an active approach during class exercises.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Distributions of Random Variables and Their Applications in Error Theory
2. Confidence Intervals for the Mean and Variance of a Population
3. Two-Dimensional Errors, Skewed Systems of Error Coordinates, Error Ellipse
4. Law of Error Accumulation, Generalization for Multiple Functions, Total Function Error, Law of Weight Accumulation
5. Adjustment of Direct Measurements and Measurement Pairs
6. Adjustment of intermediate measurements
7. Adjustment of conditional measurements
8. Combined adjustment
9. Analysis of adjustment results
10. Approximation of functional relationships
11. Regression and correlation analysis
12. Statistical hypothesis testing
13. Current robust statistical approaches
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction