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| MINE3012 | Statistical analysis | 2+1+0 | ECTS:4 | | 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 | 1.1 - 1.2 - 1.3 - 2.2 - 3.2 - 5.3 | 1,3 | | LO - 2 : | arrange and interpret geological data | 1.1 - 1.2 - 1.3 - 2.2 - 3.2 | 1,3 | | LO - 3 : | solve the geological problems using statistical methods | 1.1 - 1.2 - 1.3 - 5.2 - 5.3 | 1,3 | | LO - 4 : | explain the way of formation of geological events usin probabilty theories | 1.2 - 1.3 - 5.3 | 1,3 | | LO - 5 : | predict the unknown geological events using statistical data | 1.2 - 2.2 - 5.3 | 1,3 | | LO - 6 : | Contribuite the problem solving abilities of the students | 1.2 - 1.3 - 5.3 | 1,3 | | LO - 7 : | Design ore deposits mining models | 1.2 - 1.3 - 6.2 | 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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