Home/ Majors directory/Earth Sciences/Statistical Analysis of Geodata
Statistical Analysis of Geodata
Major: Earth Sciences
Code of subject: 8.103.00.O.003
Credits: 4.00
Department: Cartography and Geospatial Modelling
Lecturer: Ph.D., associate professor Andrii Sohor
Semester: 1 семестр
Mode of study: денна
Завдання: The study of an academic discipline involves the formation and development of students' competencies:
general:
1. The ability to demonstrate in-depth knowledge and understanding of the scientific and mathematical principles underlying the Earth sciences.
2. The ability to demonstrate in-depth knowledge of professionally oriented disciplines of the specialty.
3. The ability to demonstrate in-depth knowledge of domestic and foreign research and theoretical and applied principles in at least one of the areas of Earth sciences: geodesy, cartography, geophysics, geodynamics, meteorology and climatology.
4. Ability to demonstrate knowledge of the current state of affairs and the latest technologies, and skills in conducting experiments, data collection, modeling and analysis of the obtained results in the Earth sciences.
5. The ability to demonstrate knowledge and understanding of the philosophical methodology of scientific knowledge, psychological and pedagogical aspects of professional and scientific activity, one's own scientific outlook and moral and cultural values.
6. The ability to demonstrate sufficient knowledge of a foreign language, necessary for oral and written presentation of the results of scientific research, conducting professional scientific dialogue, full understanding of foreign language scientific texts.
7. The ability to formulate and improve an important research problem, collect the necessary information for its solution, and formulate conclusions that can be defended in a scientific context.
professional:
1. In-depth knowledge of theories and methods, scientific concepts and problems of the specialty, the latest progressive technologies of industry development.
2. In-depth knowledge of classical and modern scientific trends in the study of natural phenomena, processes in various fields of Earth sciences.
3. Ability to apply and integrate knowledge and understanding of other engineering disciplines.
4. The ability to apply professional knowledge and practical skills to solve scientific problems of the specialty, as well as to choose technical means for their implementation.
5. The ability to argue the choice of methods for solving specialized problems, critically evaluate the obtained results and defend the decisions made.
Learning outcomes: 1. The ability to demonstrate in-depth knowledge and understanding of the scientific and mathematical principles underlying the Earth sciences.
2. The ability to demonstrate in-depth knowledge of professionally oriented disciplines of the specialty.
3. The ability to demonstrate in-depth knowledge of domestic and foreign research and theoretical and applied principles in at least one of the areas of Earth sciences: geodesy, cartography, geophysics, geodynamics, meteorology and climatology.
4. Ability to demonstrate knowledge of the current state of affairs and the latest technologies, and skills in conducting experiments, data collection, modeling and analysis of the obtained results in the Earth sciences.
5. The ability to formulate and improve an important research problem, collect the necessary information for its solution, and formulate conclusions that can be defended in a scientific context.
6. Ability to independently conduct scientific research and make decisions.
Required prior and related subjects: • Higher Mathematics,
• Mathematical Processing of Geodetic Measurements.
• Analytical and Numerical Research Methods.
Summary of the subject: Within the discipline are considered the questions of statistical analysis of measurement results, namely, calculation of statistical characteristics, correlation, one-factor and two-factor analysis of variance, as well as the approximation of measurement results by different analytical expressions.
Опис: Basic concepts of mathematical statistics. Statistical series.
Histogram. Polygon of frequencies. Statistical distribution function.
Numerical characteristics of statistical distribution. Features of distribution. Features of processing a limited number of dimensions.
Equalization of statistical series. Agreement criteria (Pearson, Kolmogorov).
Confidence intervals. Confidence intervals for estimating mathematical expectation and dispersion of measurement results.
Statistical hypotheses. Errors of the first and second order. Statistical criteria.
Systems of random variables. Types of relationships between random variables. Numerical characteristics of the system of random variables.
Correlation coefficient and its properties. Reliability of the value of the correlation coefficient.
Regression coefficient. Regression equation.
One-factor and two-factor variance analysis.
Formulation of the function approximation problem. Quadratic approximation of functions. Approximation by trigonometric polynomials. Concept of harmonic analysis. Legendre polynomials. Chebyshev polynomials. The concept of uniform approximation of functions.
Assessment methods and criteria: • Work in practical classes, oral survey, performance of individual tasks (40%).
• Final control (control event, exam): written and oral form (60%).
Критерії оцінювання результатів навчання: Performance of laboratory work - 40 points.
Examination work - 60 points.
Порядок та критерії виставляння балів та оцінок: 100–88 points – (“excellent”) is awarded for a high level of knowledge (some inaccuracies are allowed) of the educational material of the component contained in the main and additional recommended literary sources, the ability to analyze the phenomena being studied in their interrelationship and development, clearly, succinctly, logically, consistently answer the questions, the ability to apply theoretical provisions when solving practical problems; 87–71 points – (“good”) is awarded for a generally correct understanding of the educational material of the component, including calculations, reasoned answers to the questions posed, which, however, contain certain (insignificant) shortcomings, for the ability to apply theoretical provisions when solving practical tasks; 70 – 50 points – (“satisfactory”) awarded for weak knowledge of the component’s educational material, inaccurate or poorly reasoned answers, with a violation of the sequence of presentation, for weak application of theoretical provisions when solving practical problems; 49-26 points - ("not certified" with the possibility of retaking the semester control) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to apply theoretical provisions when solving practical problems; 25-00 points - ("unsatisfactory" with mandatory re-study) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to navigate when solving practical problems, ignorance of the main fundamental provisions.
Recommended books: 1. Зазуляк П.М., Гавриш В.І., Євсеєва Є.М., Йосипчук М.Д., Основи математичного опрацювання геодезичних вимірювань. Львів, 2007 - 320 с.
2. Мазмишвили А.И. Способ наименьших квадратов. М., 1960.
3. Демидович Б.П., Марон И.А., Шувелова Э.З. Численные методы анализа. М., 1967.-368 с.
Допоміжна
1. Венцель Е.С. Теория вероятностей. Недра. М., 1997.
2. Дюге Д. Теоретическая и прикладная статистика. Наука. М., 1972. - 383 с.
3. Ермаков С.М., Михайлов Е.А. Курс статистического моделирования. Наука. М., 1976. - 319 с.
4. Еирко В.Л. Многомерный статистический анализ. Выща школа. К., 1988. -320 с.
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