| Name in Polish : | Inżynierskie zastosowania statystyki matematycznej |
| Name in English : | Engineering Applications of Mathematical Statistics |
| Main field of study (if applicable): | Environmental Engineering |
| Specialization (if applicable) : | Environmental Quality Management |
| Level : | II |
| Form: | full-time |
| Kind of subject : | obligatory |
| Subject code : | ISS005006 |
|
Lecture |
Classes |
Laboratory |
Project |
Seminar |
|---|---|---|---|---|---|
Number of hours of organized classes in University (ZZU) |
15 | 15 | |||
Number of hours of total student workload (CNPS) |
60 | 30 | |||
Form of crediting |
Crediting with grade | Crediting with grade | |||
| Group of courses | |||||
Number of ECTS points |
2 | 1 | |||
including number of ECTS points for practical(P) classes |
1 | ||||
including number of ECTS points for direct teacher–student contact (BK) classes |
0.5 | 0.5 | NAN | NAN | NAN |
| PREREQUISITES RELATING TO KNOWLEDGE, SKILLS AND OTHER COMPETENCES | |
|---|---|
| 1 | Basic knowledge in algebra and mathematical analysis, including: i) vectors, matrices, solving linear systems; ii) functions (linear, polynomial, power, exponential, logarithmic), differentiation and integration of univariate functions; which is necessary for understanding mathematical aspects of technical and engineering problems. |
| SUBJECT OBJECTIVES | |
|---|---|
| C1 | Learning the methods and tools of statistical data description |
| C2 | Becoming familiar with theoretical probability distribution functions |
| C3 | Gaining knowledge on methods of statistical inference and their application to solving engineering problems |
| C4 | Learning the application of methods and tools to perform statistical description of the data, in particular in the environmental context |
| C5 | Learning the use of methods and tools to perform statistical inference in order to analyze the phenomena and processes which occur in the environment |
SUBJECT EDUCATIONAL EFFECTS | |
|---|---|
| relating to knowledge: | |
| PEK W01 | To have the knowledge on the methods and tools of descriptive statistics and the way of applying them to analyze the data in the domain of environmental engineering |
| PEK W02 | To know theoretical probability distributions of discrete and continuous variables |
| PEK W03 | To have the knowledge on the methods and tools of inferential statistics and the way of applying them to analyze the phenomena and processes which occur in the environment |
| relating to skills: | |
| PEK U01 | To be able to perform the statistical description of the data e.g. measurement data |
| PEK U02 | To be able to select and apply the methods and tools of statistical inference for analyzing the phenomena and processes which take place in the environment |
| relating to social competences: | |
PROGRAMME CONTENT |
||
Form of classes - lecture |
Number of hours |
|
| Wy1 | Variables, data, methods and tools of descriptive statistics, types of variables, population, sample, measures of center, measures of spread, histogram, box plot | 2 |
| Wy2 | Discrete variables and their distributions: binomial, Poisson, negative binomial, multinomial; Examples of their use for analyzing environmental problems | 2 |
| Wy3 | Continuous variables and their distributions: normal, t-Student, F Snedecore, Chi-square | 1 |
| Wy4 | Confidence interval and level, tolerance interval and level; Examples of their engineering applications | 2 |
| Wy5 | Statistical inference with statistical tests: for one and two means, for one and two variances, normality tests; Examples of their applications to environmental problems | 3 |
| Wy6 | Statistical inference with univariate analysis of variance (ANOVA) and multivariate analysis of variance (MANOVA) | 2 |
| Wy7 | Regression analysis and its engineering applications: linear and nonlinear regression, univariate and multivariate regression, model validation, prediction with the regression model | 2 |
| Wy8 | Final test | 1 | Suma godzin | 15 |
PROGRAMME CONTENT |
||
Form of classes - classes |
Number of hours |
|
| Cw1 | Statistical description of the data on the selected parameter of the environment | 2 |
| Cw2 | Application of discrete variables distributions to solving engineering problems | 2 |
| Cw3 | Confidence interval and tolerance interval applied to analyzing engineering problems | 2 |
| Cw4 | Statistical tests as the tools of solving problems in environmental engineering | 3 |
| Cw5 | Normality testing | 1 |
| Cw6 | Analysis of variance applied to studying the change of the state of environment | 2 |
| Cw7 | Defining, parameterization and validation of the regression model of the relationship between environmental parameters | 2 |
| Cw8 | Final test | 1 |
| Suma godzin | 15 | |
| TEACHING TOOLS USED | |
|---|---|
| N1 | Informative lecture |
| N2 | Problem oriented lecture |
| N3 | Problem solving classess |
| Evaluation (F - forming during semester), P - concluding (at semester end) | Educational effect number | Way of evaluating educational effect achievement | |
|---|---|---|---|
| 1 | P1 | PEK_W01, PEK_W02, PEK_W03 | Final test |
| 2 | P2 | PEK_U01, PEK_U02 | Final test |
| Primary literature: | |
|---|---|
| Primary literature: | M. Maciejewska, Engineering Applications of Mathematical Statistics, PRINTPAP, 2011 |
| Primary literature: | P.M. Berthouex, L.C. Brown, Statistics for Environmental Engineers, CRC Press, 2002 |
| Primary literature: | B.F.J. Manly, Statistics for Environmental Science and Management, CRC Press, 2008 |
| Primary literature: | V. Barnett, Environmental Statistics: Methods and Applications ,John Wiley & Sons, 2006 |
| Secondary literature: | |
| Secondary literature: | NIST/SEMATECH e-Handbook of Statistical Methods, http://www.itl.nist.gov/div898/handbook/, 7/18/2006 |
| Name and surname: | Monika Maciejewska |
| E-mail: | monika.maciejewska@pwr.wroc.pl |
| Nr | Subject educational effect | Correlation between subject educational effect and educational effects defined for main field of study and specialization (if applicable)** | Subject objectives*** | Programme content*** | Teaching tool number*** |
|---|---|---|---|---|---|
| 1 | PEK_W01 | K2IS_W01 | C1 | Lec1 | N1 |
| 2 | PEK_W02 | K2IS_W01 | C2 | Lec2, Lec3 | N1, N2 |
| 3 | PEK_W03 | K2IS_W01 | C3 | Lec4, Lec5, Lec6 | N1, N2 |
| 4 | PEK_U01 | K2IS_U01 | C4 | Cl1 | N3 |
| 5 | PEK_U02 | K2IS_U01 | C5, C6 | Cl2, Cl3, Cl4, Cl5, Cl6 | N3 |