Fundamentals of statistics 1300-OPST2CW
The lecture has the task to know with the following subject matters:
• elements of probability definitions: classical, geometrical, axiomaltical, statistical,
• random variables discrete and continuous and their parameters. Distributions of random variables: binomial, Poisson, normal, chi-square, Student`s distributions,
• n-dimensional random variables,
• basic statistics notions, methods of sample collections,
• one dimensional statistical series and their elaboration, distributive series, diagram, histogram, distribution parameters,
• point estimation, confidence intervals for average value and variance,
• verification of statistical hypothesises, tests of significances,
• two-dimensional populations, regression lines, coefficient of linear correlations (least squares method), curvilinear correlation.
The exercises will be devoted for solving of the problems based on the theory presented on lectures,
• are synchronized with lectures,
• teach to solve of exercises, calculations,
• teach to solve some examples illustrative the lecture theory,
• teach to interpret of the obtained results,
• indicate numerical programs for the statistical problems.
Type of course
Prerequisites (description)
Course coordinators
Term 2025Z: | Term 2024L: |
Learning outcomes
After completion of lecture a student:
• calculates statistical parameters, creates distributive series, interprets their graphically,
• calculates confidence intervals for average value and variance,
• verifies statistical hypothesis connected with parameters and distributions (chi-square test, Kolmogov`s test),
• determines equations of regression lines and coefficients of linear correlations,
• determines curvilinear regressions,
• contrives to interpret results obtained by using statistical computer programs.
Assessment criteria
Credit requirements:
• knowledge of the materials presented on lectures,
• applications of knowledge to solve practical examples.
Written test with applications of received knowledge to solve practical problems (numerical examples), there is possible to use lecture notes.
Additional information
Information on level of this course, year of study and semester when the course unit is delivered, types and amount of class hours - can be found in course structure diagrams of apropriate study programmes. This course is related to the following study programmes:
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: