Application of calculus of probability and mathematical statistics for rating
of raw materials and dressing processes and their application in the area of
environmental engineering. Basic knowledge on theory of errors. Collection and
processing of experimental data, research analysis of experimental data,
statistical analysis of data and its application in the laboratory and
operational practice and in the evaluation of environmental problems. Analysis
of variance and its application in the evaluation of experiments. Regression
analysis and its application in rating of processes. Statistical planning and
evaluation of experiments.
syllabus
1. Basic concepts of calculus of probability. Random events, probability,
random quantities and their characteristics.
2. Classification of probability, basic types and their application.
Multidimensional random quantity.
3. Mathematical statistics and its utilization in the evaluation of
experimental data. General method of statistical data analyses. Basics of
estimation theory, parameter estimates of selected types of probability
classification.
4. Rough estimates of position and dispersion parameters. Parameter estimates
of multidimensional normal classification.
5. Testing of statistical hypotheses. Hypotheses tests on parameters of one
and several normal classifications.
6. Non-parametric tests.
7. Hypotheses tests on parameters of one and two multidimensional normal
classifications. Tests of good coincidence.
8. Verification of basic preconditions on random selection. Testing of
normality, independence, homogeneity and sufficient selection scope.
9. Graphic methods of exploration analysis.
10. Variance analysis. Single-factor and two-factor analysis of variance.
11. Regression and correlation analysis. Correlation analysis.
12. Linear regression.
13. Planning and evaluation of experiments.
14. Planning and evaluation of experiments.