455-0056/01 – Statistical processing of measurements (SZM)

Gurantor departmentDepartment of Measurement and ControlCredits4
Subject guarantorprof. Ing. Marek Penhaker, Ph.D.Subject version guarantorprof. Ing. Marek Penhaker, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
YearSemestersummer
Study languageCzech
Year of introduction1992/1993Year of cancellation2002/2003
Intended for the facultiesFEIIntended for study typesMaster
Instruction secured by
LoginNameTuitorTeacher giving lectures
PEN72 prof. Ing. Marek Penhaker, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The goal of this subject is to obtain knowledge in statistical search analysis of one-dimensional measured data. The Graduate will obtain theoretical and practical knowledge of Statistical processing of measurements theory The Graduate will obtain theoretical and practical knowledge of Statistical processing of measurements theory.

Teaching methods

Summary

The goal of this subject is to obtain knowledge in statistical search analysis of one-dimensional measured data. The Graduate will obtain theoretical and practical knowledge of Statistical processing of measurements theory. This subject presents engineering methods of statistical analysis. The subject content includes a wide range of common statistical tasks, from random number generation, to curve fitting, to design of experiments and statistical process control. For the practice statistical reckoning MATLAB Statistics Toolbox is used. This toolbox thus supplies engineers, scientists, researchers, financial analysts, and statisticians with the statistical software they need to assess and understand their data.

Compulsory literature:

Pokorný, M. - Kozub, R.: Statistické zpracování měřených dat I, Ostrava, skripta VŠB - TU Ostrava, 1998 Hátle, J. - Likeš, J.: Základy počtu pravděpodobnosti a matematické statistiky. Praha, SNTL 1974. Meloun, M. - Militký, J.: Chemometrie - zpracování experimentálních dat na IBM-PC. Praha, SNTL 1990. Likeš,J.: Matematická statistika, SNTL Praha 1988

Recommended literature:

J. Zapletal:Základy počtu pravděpodobnosti a matematické statistiky,PC-DIR , Brno 1995 J. Díblík , A. Haluzíková , J. Baštinec :Numerická matematika a matematická statistika,SNTL , Praha 1987 A. Haluzíková , V. Kudláček , B. Zástěra:Numerické metody a matematická statistika,VUT Brno 1979 Penhaker,M: Statistical processing of measurements,Sylabus on WWW pages of department,2002

Way of continuous check of knowledge in the course of semester

Verification of study: 2 x tests and semestral work Conditions for credit: semestral work - maximum 10 points, 2x tests each maximum 20 points. On the whole maximum 50 points and minimum - 25 points.

E-learning

Další požadavky na studenta

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

Lectures: Diversifikation of measurement deficiency. Sensitivity response of instrumentation. Models of measurement and error estimation. error results in instrumentation measurements. Method of Taylor expansion, Describing statistics. The basic sample. Statistical signs. One-dimensional statistical samples with quantitative sign. Frequency. Random Variables of one and two variables, their distributive and density functions. Statistical graphs identification of data unique. Dispersed diagram, box diagram, notch diagram. Construction and identification of distribution selection. Main type of distribution. Core estimation of frequency function. Histogram. Transformation of data. Inverse transform. Verification of data presumption. Minimal size of selection, normality, homogeneity of selection. Conclusion of investigation progress in one dimensional analysis. Statistics of one dimensional data. Spot estimation of position parameters, dispersions and form. Robust estimation of positions parameters and dispersions. Testing of statistical hypothesis. Tests of parametric hypothesis of one and two files. Conclusion of one dimensional selection. Difussion analysis introduction (ANOVA) One-factor ANOVA Two-factor ANOVA Computer labs: Abstract of available program systems for analysis and statistical processing on PC. Main operation within data, interactive flow of calculations. Example of error result processing. Introduction into MATLAB and Statistic ToolBox Example of data graphical analysis. Example of data graphical analysis. Determination of histogram, frequency function estimation. Different type of distribution. Examples elaboration for transformation data, estimation of selection. Data independence test, minimum range of selection, normality, homogeneity. Submission of semestral work. Examples of describing statistics. The basic sample. Statistical signs. One-dimensional statistical samples with quantitative sign. Frequency. One-dimensional statistics. Examples for classical parameters estimation. One-dimensional statistics. Robust estimation of positions parameters and dispersions. One-dimensional statistics. Summary examples. Discussion about semestral work Examples for processing data by the method dispersion analysis. Gift-over semestral work.

Conditions for subject completion

Full-time form (validity from: 1960/1961 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (145) 51
        Examination Examination 100  0
        Exercises evaluation Credit 45  0
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2002/2003 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (20) Elektrické pohony a výkonová elektronika P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava Choice-compulsory study plan
2002/2003 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava 3 Optional study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2612T018) Electronics and Communication Technology P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (10) Elektrické stroje a přístroje P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (2642T004) Electrical Machines, Apparatus and Drives (20) Elektrické pohony a výkonová elektronika P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (3902T023) Computer Science P Czech Ostrava Choice-compulsory study plan
2001/2002 (M2612) Electrical Engineering and Computer Science (3907T001) Electrical Power Engineering P Czech Ostrava Choice-compulsory study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering P Czech Ostrava 5 Optional study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering (10) Měřící a řídící technika P Czech Ostrava 5 Optional study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering (20) Řídící a informační systémy P Czech Ostrava 5 Optional study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering (30) Měřící a řídící technika v biomedicíně P Czech Ostrava 5 Optional study plan
2000/2001 (M2612) Electrical Engineering and Computer Science (2601T004) Measurement and Control Engineering (40) Automatizované systémy řízení P Czech Ostrava 5 Optional study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner