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| JFZ2039 | Probability and statistics | 2+2+0 | ECTS:4 | | Year / Semester | Fall Semester | | Level of Course | First Cycle | | Status | Compulsory | | Department | DEPARTMENT of GEOPHYSICAL ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face, Practical | | Contact Hours | 14 weeks - 2 hours of lectures and 2 hours of practicals per week | | Lecturer | Prof. Dr. Ali ELMAS | | Co-Lecturer | none | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Aim of this course is to give the students with general knowledge about probability and statistical methods used in analysis and interpretation of geophysical data. |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | explain type of data and be able explain their relations to the geophysical observation | 1,2 | 1 | | LO - 2 : | describe measurements of central tendency and measurements of distribution and will know when and how will calculate them | 1,2 | 1 | | LO - 3 : | apply various techniques in determining probability of events and in testing observational data. | 1,5 | 1 | | LO - 4 : | evaluate the results of geophysical data and determine a approximation function to estimation processes | 1,2,5 | 1,3 | | LO - 5 : | examine noise problems in their data | 1 | 1 | | 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 | | |
| Introduction to probabilistic and statistical methods. Type of data encountered in geophysics: deterministic and nondeterministic data, periodic and nonperiodic data. Measurements of central tendency: Arithmetical means, median, mod. Measurements of distribution: Standart deviation, standart error, correlations. Histograms: frequency distribution, measurements of shapes (kurtosis and skewness) , statistical moments. Probability and its distribution: factorial, permutation, combination, binomial, poisson and normal (Gaussian) distributions, Statistical tests: Ki-square and Student's- t test. Data fitting: Least square (LS) , polinomal LS, trigonometric fitting. Data smoothing: Simple moving average, wighted moving average, transformation functions, smoothing with tapering. Introduction to Fourier theory. |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction and definition of data types | | | Week 2 | Analysis of the periodic and non-periodic data | | | Week 3 | Averages and measures of center tendency, distributions around average value | | | Week 4 | Histograms and frequency distributions, statistical moments | | | Week 5 | Introduction to probability theorem; basic terms and calculations, factoriel, permutations, combinations | | | Week 6 | Binomial, Poisson, Normal (Gauss) distributions | | | Week 7 | Statistical tests: Chi-squared and T test (Student's) | | | Week 8 | Introduction to data fitting methods: Possible equations of the curves, Least square method (LSM), application principles and fields | | | Week 9 | Mid-term exam | | | Week 10 | Fitting to linear, polinomial curves and surfaces | | | Week 11 | Fortran and MatLab applications for curve fitting | | | Week 12 | Fitting to trigonometric functions/Fortran and MatLab applications | | | Week 13 | Introduction to data smoothing, simple moving average and its transfer function | | | Week 14 | Tapering by moving average and its transfer functions | | | Week 15 | Succesive usage of the moving average operator and its transfer functions | | | Week 16 | End-of-term exam | | | |
| 1 | Karslı, H., 2011;Veri İşlem 1: Jeofizikte Olasılık ve İstatistik, KTÜ, Trabzon. | | | |
| 1 | Başokur, A. T., 2007; Spektral Analiz ve Sayısal Süzgeçler, JFMO Eğitim Yayınlar, No.8, Ankara. | | | 2 | Karakç, D., İ., 2007; Matlab ve İstatiksel Veri Analizi, Nobel Yayın Dağıtım, Ankara | | | 3 | Trauth, M., 2006; Matlab Receips for Earth Sciences, Springer-Verlag, Berlin. | | | 4 | Akdeniz, F., 1998; Olasılık ve İstatistik, Çukurova Üniversitesi Fen Edebiyat Fakültesi Matematik Bölümü, Baki Kitapevi, ADANA | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 9 | | 2 | 30 | | Homework/Assignment/Term-paper | 12 | | 6 | 20 | | End-of-term exam | 16 | | 2 | 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 | 2 | 14 | 28 | | Sınıf dışı çalışma | 1 | 14 | 14 | | Arasınav için hazırlık | 6 | 1 | 6 | | Arasınav | 2 | 1 | 2 | | Uygulama | 1 | 14 | 14 | | Ödev | 3 | 2 | 6 | | Dönem sonu sınavı için hazırlık | 8 | 1 | 8 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 80 |
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