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MINE3008 | Engineering Statistics | 2+1+0 | ECTS:3 | Year / Semester | Spring Semester | Level of Course | First Cycle | Status | Compulsory | Department | DEPARTMENT of MINING ENGINEERING | Prerequisites and co-requisites | None | Mode of Delivery | Face to face, Practical | Contact Hours | 14 weeks - 2 hours of lectures and 1 hour of practicals per week | Lecturer | Prof. Dr. Ferdi CİHANGİR | Co-Lecturer | None | Language of instruction | | Professional practise ( internship ) | None | | The aim of the course: | To give an introduction to decision making processes, statistical approach to geological problems and geostatistics. |
Learning Outcomes | CTPO | TOA | Upon successful completion of the course, the students will be able to : | | | LO - 1 : | prepare graphical presentation of any kind of data | 1,2,3,5,7,12 | 1,3 | LO - 2 : | arrange and interpret geological data | 1,2,3,5,7 | 1,3 | LO - 3 : | solve the geological problems using statistical methods | 1,2,3,11,12 | 1,3 | LO - 4 : | explain the way of formation of geological events usin probabilty theories | 2,3,12 | 1,3 | LO - 5 : | predict the unknown geological events using statistical data | 2,5,12 | 1,3 | LO - 6 : | Contribuite the problem solving abilities of the students | 2,3,12 | 1,3 | LO - 7 : | Design ore deposits mining models | 2,3,14 | 1,3 | CTPO : Contribution to programme outcomes, TOA :Type of assessment (1: written exam, 2: Oral exam, 3: Homework assignment, 4: Laboratory exercise/exam, 5: Seminar / presentation, 6: Term paper), LO : Learning Outcome | |
Graphical presentation of data: Histograms; Frequency curves; Pie diagrams; Box plots; Statistics: Descriptive methods; Probabilities; Sampling distributions; Testing of hypotheses; Small sampling theory; Chi-square tests; Curve fitting and the method of least squares; Single regressions; Correlation theory; Anaysis of variance; |
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Course Syllabus | Week | Subject | Related Notes / Files | Week 1 | Introduction to statistics, Statistical concepts (Population, sample, variable, data, measurement), Type of statistic | | Week 2 | Summarizing data - Frequency Distributions and Graphic Presentation Construction of a frequency tables, histogram, frequency polygon, cumulative frequency polygon, pie charts | | Week 3 | Measures of Central Tendency (Arithmetic mean, geometric mean weighed mean, median, mode) | | Week 4 | Distribution Parameters (Measures of dispersion and skewness, Variance, Standard deviation, Skewness and Kurtosis, Quartiles, Percentile range) | | Week 5 | Probability,
Principles of probability (Addition rule, Multiplication rule) Probability trees, Bayes theorem, Mathematical expectation, Permutation, Combination
| | Week 6 | Probability distributions
The Binominal Distribution, The normal distribution and it's standardised form the standardised normal distriburtion
| | Week 7 | Sampling and statistical estimation theory, Some important sample properties, The distriibution of sample means, the central limit theorem | | Week 8 | Mid-term exam | | Week 9 | The sample variance, Estimation of population parameters | | Week 10 | The Z-test | | Week 11 | Student's t Test, Degrees of freedom, T tables, One sample T Test, Independent samples T Test, Paired samples T Test | | Week 12 | The chi-square test | | Week 13 | The F Test, Analysis of variance, The F distribution, ANOVA, Two way analysis of variance, Test of Hartley Maximum and Cochran | | Week 14 | Correlation-Simple correlation, Scatter diagrams, calculating the coefficient of correlation, testing the significance of the coefficient of correlation | | Week 15 | Simple regression analysis, table of regression analysis, drawing the line of regression | | Week 16 | End-of-term exam | | |
1 | Tüysüz, N., Yaylalı, G. 2005; Jeoistatistik- Kavramlar ve bilgisayar uygulamalar, KTÜ yayınları, No 220, Trabzon | | |
1 | Spiegel M.R. and Difranco,D., 1997, Schaum's outline of Theory and problems of statistics, Mc Graw Hill, USA | | 2 | Till, R., 1974. Statistical methods for the earth scientist-an introduction, Macmillan press USA | | |
Method of Assessment | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | In-term studies (second mid-term exam) | 9 | 30/03/2013 | 3 | 50 | End-of-term exam | 16 | 25/05/2011 | 3 | 50 | |
Student Work Load and its Distribution | Type of work | Duration (hours pw) | No of weeks / Number of activity | Hours in total per term | Yüz yüze eğitim | 3 | 14 | 42 | Sınıf dışı çalışma | 2 | 14 | 28 | Arasınav için hazırlık | 8 | 1 | 8 | Arasınav | 3 | 1 | 3 | Ödev | 2 | 2 | 4 | Dönem sonu sınavı için hazırlık | 10 | 1 | 10 | Dönem sonu sınavı | 3 | 1 | 3 | Total work load | | | 98 |
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