Analytical and Numerical Methods of Research

Major: Metrology and Information-Measuring Ttechnology
Code of subject: 8.152.00.O.3
Credits: 4.00
Department: Computational Mathematics and Programming
Lecturer: Professor Pukach Petro Yaroslavovych Аssociate professor Bilushchak Halyna Ivanivna
Semester: 2 семестр
Mode of study: денна
Learning outcomes: • Calculate the numerical characteristics of the general population and sample. • Calculate distribution parameters. • To test the hypotheses about the distribution of the general population. • To test hypotheses about dispersion and average general population. • To conduct a correlation and regression analysis of statistics. • Conduct discriminatory analysis of statistics. • Conduct a factor analysis of statistics. • Conduct a cluster analysis of statistics.
Required prior and related subjects: • Elementary mathematics • Linear algebra and analytic geometry • Mathematical analysis • Probability theory • The theory of decision-making
Summary of the subject: • Methodology of computer analysis and data processing. • General aggregates and samples, their characteristics. • Statistical estimation of the parameters of the distribution of the general population. • Statistical analysis of distribution hypotheses. • Hypotheses about the dispersion of normal distribution. • Hypotheses about the mathematical expectation of normal distribution. • Regression and correlation analysis of dependencies • Analysis of the connections of qualitative characteristics • Analysis of relations of rank characteristics • Analysis of quantitative characteristics • Factor analysis • Discriminant analysis • Cluster analysis
Assessment methods and criteria: Current control-30% • Work on practical trainings -12% • Settlement and graphic work - 18% • Exam -70%
Recommended books: • Білущак Г. І. Аналітичні та чисельні методи досліджень. Статистичні методи в OpenOffice: Навчальний посібник для аспірантів усіх спеціальностей. – Львів: Видавництво Растр-7, 2017 – 182 с. • Білушак Г.І., Чабанюк Я.М. Теорія ймовірностей і математична статистика. Лекції. Львів: В-во “Львівський ЦНТЕІ”, 2002. • Білушак Г.І.,Чабанюк Я.М. Теорія ймовірностей і математична статистика. Практикум. Львів: В-во “Край”, 2002. • Паніотто В.І., Максименко В.С., Харченко Н.М. Статистичний аналіз соціологічних даних. К.: Вид. дім «КМ Академія», 2004. — 270 с