Ministry of Education and Science of the Republic of Kazakhstan
Karaganda State Technical University
Confirmed by
Chairman of the Academic Council,
rector KSTU
______________ A.M.Gazaliev
______________ 20___.
ACADEMIC PROGRAM
Course PAREE 5215 «Planning and analysis of the results of the engineering
experiment»
Module FMTIPS 05 «Fundamentals of Modern TIPS»
Major 6M070700 – «Mining»
Mining faculty
Department of Development of mineral deposits
2015
The preface
Academic program is worked out by cand. of Sc., associate professor
M.A. Baykenzhin
Discussed at the meeting of the department «Development of mineral deposits »
Minutes № _______ of ______________ «____» 20___
Head of department ________________ Issabek T.K. «____» 20___
(signature)
Approved by the Educational Council of Mining Institute
Minutes № _______ of ______________ «____» 20___
Chairman ________________ Takibaeva A.T. «____» 20___
(signature)
1
Number of
credits
ECTS
Term
Course labour intensity
1
2
Type of classes
Number of contact hours
practical
lectures
classes
15
15
laboratory
classes
number of
OH
Total
hours
30
Total
Form
number numof
of AL ber of
control
hours
30
60
course
work
Course purpose
The purpose of discipline
The main goal of teaching "Planning and analysis of the results of the engineering experiment" is to introduce undergraduates to:
- planning and methodology of the experiment;
- methods of processing the results of laboratory and industrial experiments.
Problems of the discipline
The main objectives are to inculcate discipline undergraduates skills:
- planning for laboratory and industrial experiments;
- processing the data obtained as a result of experiments involving mathematical methods and computer programs.
As a result of studying this discipline undergraduates should:
have an idea:
- the modern means of design of experiments;
- the means of mathematical statistics in the processing of the received data
during the experiment;
know:
- methods of planning and carrying out experiments;
- methods for determining the likelihood of the planned outcome of the experiment;
- method of calculation and construction of empirical relationships;
be able to:
- to plan an experiment with a high probability of Augy, Aisne-give results;
- to analyze the experimental data;
- calculate and construct empirical depending on the results of experiments;
- present the results of the work done in the form of reports, essays, articles;
acquire practical skills to plan and conduct experiments.
Prerequisites
In the study course «Planning and analysis of the results of engineering experiments» undergraduates based on the knowledge gained in the study of general and
basic disciplines.
Post requisites
The knowledge gained in the study of discipline "Planning and drawing-
processing the results of engineering experiments" are used when writing a thesis.
Thematic plan of course
Labour intensity on types of
classes
Name of section (subject)
lec- practiOH
AL
tures
cal
1 Experiment 1 as a subject of study
1
1
2
2 Brief facts from the theory of probability and
1
2
2
mathematical statistics
3 Pre-processing of the experimental data
4
4
2
4 Analysis of passive experiment. empirical rela3
2
2
tionships
5 Evaluation of errors of observation results
1
2
2
6 Methods of design of experiments. logical
3
2
2
foundations
7 Computer methods of statistical treatment of re2
2
2
sults of engineering experiment
30
TOTAL:
15
15
List of practical (seminar) classes
1 Classification of experimental studies
2 Random variables and parameters of their distribution. Normal distribution
3 Calculation of the parameters of empirical distributions. criterion Dixon
4 Comparison of the two dispersions. Checking the homogeneity of variances
of several
5 Testing hypotheses about the numerical values of the expectations
6 The Kolmogorov-Smirnov
7 Linear regression on one factor
8 Evaluation of errors in determining the value of the function
9 Example of good and bad experiment
10 Simplex method of planning
Courses of control tasks for AL
1. Experiment and its role in engineering practice.
2. General characteristics of research methods for the study of regularities-of
various processes and phenomena in the industry.
3. Classification of experimental studies on the basis of the purpose of the exper-
iment and the presentation of results, and also depending on the conditions of its implementation.
4. Advantages and disadvantages of industrial and laboratory experiment.
5. The problem is solved in the course of the preliminary statistical analysis of
experimental data.
6. The basic idea of using estimation of the confidence interval.
7. The essence of statistical hypotheses. Null and alternative statistical hypothesis.
8. The algorithm using Pearson to test the hypothesis of normal distribution of
the experimental data.
9. The procedure for using the Kolmogorov-Smirnov test for testing the hypothesis of normal distribution.
10. The essence and main tasks of correlation, regression and analysis of variance.
11. The starting position of the least squares method.
12. Properties of the correlation coefficients.
13. The main idea of the mathematical solution of the problem search of best
conditions of the experiment.
14. The sequence of the active experiment.
15. The purpose of utilization theory of experiment planning.
16. The main idea of the TEU.
17. Principles rotatable experimental design.
18. The essence of the design of experiments in finding the optimal conditions.
19. The method of coordinate-wise optimization.
20. The method of simplex planning.
21. The possibilities of modern programs for the analysis of experimental data.
22. Principles of organization of modern statistical packages.
23. The decision of problems of estimating statistical characteristics using the
package Microsoft Excel.
24. The interaction of the user with the package statistica.
25. Determination of the coefficients of the regression equation using the package statistica.
Schedule of performing and handing in tasks on course
Type of control
Test (written)
survey
Test (written)
request
Checking
The purpose and
content of the
job
Consolidation of
theoretical
knowledge
Consolidation of
theoretical
knowledge
Consolidation of
theoretical
Recommended
reading
The
duration of
[1], [2], [3], [4],
lecture notes
1 contact
hour
[2], [3], [4], [6],
lecture notes
[4], [5], [7], [8],
Form of
control
landmark
landmark
1 contact
hour
1 contact
hour
current
Completion
date
week 7
week
14
3, 5, 7,
10, 12,
Бал
-лы
20
20
20
lecture notes
knowledge
lecture notes
Pinging
Verification of
learning material discipline
All References
In total
14
weeks
2 contact
hour
final
During
the session
40
100
Main literature
1. Львовский Е.Н. Статистические методы построения эмпирических
формул: Учеб. пособие для вузов. – М.: Высшая школа, 1998. – 239 с.
2. Новицкий П.В., Зограф И.А. Оценка погрешностей результатов
измерений. – Л.: Энергоатомиздат, 1991. – 354 с.
3. Шинк Х. Теория инженерного эксперимента: Пер. с англ. – М.: Мир, 1972.
– 381 с.
4. Налимов В.В, Голикова Т.И. Логические основы планирования
эксперимента. – М.: Металлургия, 2012. – 152 с.
Additional literature
1. Математическая статистика: Учеб. для вузов / В.Б.Горяинов, И.В.Павлов,
Г.М.Цветкова, О.И.Тескин; Под ред. В.С.Зарубина, А.П.Крищенко. – М.:
МГТУ им. Н.Э.Баумана, 2001. – 424 с.
2. Гмурман В.Е. Теория вероятностей и математическая статистика: Учеб.
пособие для вузов. – М.: Высшая школа, 2002 . – 479 с.
3. Боровиков В.П. Популярное введение в программу STATISTICA. – М.:
КомпьютерПресс, 1998. – 267 с.
4. Чекотовкий Э.В. Графический анализ статистических данных в Microsoft
Excel 2000. – М.; СПб; Киев: Диалектика, 2002. – 462 с.