FACULTY OF ENVIRONMENTAL ENGINEERING

SUBJECT CARD

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
For group of courses mark (X) final course

Number of ECTS points

 2 1

including number of ECTS points for practical(P) classes

 1

including number of ECTS points corresponding to classes that require direct participation of lecturers and other academics (BU)

 1 0.7
 
PREREQUISITES RELATING TO KNOWLEDGE, SKILLS AND OTHER COMPETENCES
1Basic knowledge in algebra and mathematical analysis, including: vectors, matrices, solving linear systems, 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
C1Learning the methods and tools of statistical data description
C2Becoming familiar with theoretical probability distribution functions
C3Gaining knowledge on methods of statistical inference and their application to solving engineering problems
C4Learning the application of methods and tools to perform statistical description of the data, in particular in the environmental context.
C5Learning 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:
PEU_W01To 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.
PEU_W02To know theoretical probability distributions of discrete and continuous variables
PEU_W03To 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:
PEU_U01To be able to perform the statistical description of the data e.g. measurement data
PEU_U02To 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:
PEU_K01Capability for creative performance
 

PROGRAMME CONTENT

Form of classes - lecture
Number of hours
Wy1Variables, data, methods and tools of descriptive statistics, types of varia-bles, population, sample, measures of center, measures of spread, histo-gram, box plot2
Wy2Discrete variables and their distributions: binomial, Poisson, negative bi-nomial, multinomial; examples of their use for analyzing environmental problems2
Wy3Continuous variables and their distributions: normal, t-Student, F Snedecore, Chi-square2
Wy4Confidence interval and level, tolerance interval and level; examples of their engineering applications2
Wy5Statistical inference with statistical tests: for one and two means, for one and two variances, normality tests; examples of their applications to envi-ronmental problems2
Wy6Statistical inference with statistical tests: for one and two means, for one and two variances, normality tests; examples of their applications to envi-ronmental problems2
Wy7Regression analysis and its engineering applications: linear and nonlinear regression, univariate and multivariate regression, model validation, pre-diction with the regression model2
Wy8Final test1
Total hours15
 

PROGRAMME CONTENT

Form of classes - classes
Number of hours
Cw1Statistical description of the data on the selected parameter of the environment2
Cw2Application of discrete variables distributions to solving engineering prob-lems2
Cw3Confidence interval and tolerance interval applied to analyzing engi-neering problems2
Cw4Statistical tests as the tools of solving problems in environmental engineering2
Cw5Normality tests2
Cw6Analysis of variance applied to studying the change of the state of environment 2
Cw7Defining, parameterization and validation of the regression model of the relationship between environmental parameters2
Cw8Final test1
Total hours 15
 
TEACHING TOOLS USED
N1 Informative lecture
N2 Problem oriented lecture
N3 Problem solving classess
 

EVALUATION OF SUBJECT LEARNING OUTCOMES ACHIEVEMENT

  Evaluation (F - forming during semester), P - concluding (at semester end) Learning outcomes code Way of evaluating learning outcomes achievement
1 P1PEU_W01, PEU_W02, PEU_W03Final test
2 P2PEU_U01, PEU_U02, PEU_K01, PEU_K02Final test
 
 

PRIMARY AND SECONDARY LITERATURE

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
 

SUBJECT SUPERVISOR

Name and surname: Monika Maciejewska
E-mail: monika.maciejewska@pwr.edu.pl
 

MATRIX

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***
1PEU_W01K2IS_W01C1Lec1N1
2PEU_W02K2IS_W01C2Lec2, Lec3N1, N2
3PEU_W03K2IS_W01C3Lec4, Lec5, Lec6, Lec7N1, N2
4PEU_U01K2IS_U01C4Cl1N3
5PEU_U02K2IS_U01C5, C6Cl2-Cl7N3
6PEU_K01K2IS_K01C4, C5Cl1-Cl7N3