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| HRT3030 | Statistical Analysis of Geodetic Data | 2+0+0 | ECTS:4 | | Year / Semester | Spring Semester | | Level of Course | First Cycle | | Status | Elective | | Department | DEPARTMENT of GEOMATICS ENGINEERING | | Prerequisites and co-requisites | None | | Mode of Delivery | Face to face, Practical | | Contact Hours | 14 weeks - 2 hours of lectures per week | | Lecturer | Prof. Dr. Mualla YALÇINKAYA | | Co-Lecturer | | | Language of instruction | Turkish | | Professional practise ( internship ) | None | | | | The aim of the course: | | Analysis of the geodetic data with statistical methods and interpretation of the results |
| Learning Outcomes | CTPO | TOA | | Upon successful completion of the course, the students will be able to : | | | | LO - 1 : | comprehend the difference of accuracy and sensitivity to understand that every measurement is loaded with errors. | 1,2 | 1 | | LO - 2 : | vill be able to examine whether the data is in normal distribution. | 1,2,4 | 1,3 | | LO - 3 : | will be able to test the model hypothesis, the incompatible dimensions test, the significance test of the unknown, and the model expansion parameters. | 1,2 | 1 | | LO - 4 : | calculate the sensitivity and confidence criteria | 1,2 | 1,3 | | LO - 5 : | write code in Matlab environment for statistical analysis of geodetic data | 1,2,4 | | | 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 | | |
| Geodetic data, error-correction, accuracy-sensitivity; Normal distribution, Test statistics (chi-square Distribution, F- Distribution, t-distribution); Examining whether the data are in normal distribution; Hypothesis tests, Type 1 and Type 2 errors; Test of model hypothesis, incompatible dimensions test; Significance test of the unknown; significance testing of model expansion parameters; Sensitivity criteria (mean error of absolute values, confidence intervals, point position error, error ellipse, etc.); Reliability criteria (redundanz share, internal and external trust criteria); Comparison of the mean values of different and equal measures of standard deviations; Examining whether two, three or more experimental standard deviations are equivalent |
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| Course Syllabus | | Week | Subject | Related Notes / Files | | Week 1 | Introduction, Geodetic data, error-correction, accuracy-sensitivity and sensitivity criteria | | | Week 2 | Normal distribution, Test statistics (chi-square Distribution, F- Distribution, t-distribution) | | | Week 3 | Examining whether the data are in normal distribution; Chi-square fit test, application | | | Week 4 | Mann-wald fit test, application | | | Week 5 | Kolmogoroff-simirnof fit test, application; Special test methods for normal distribution, application | | | Week 6 | Solution of balancing with mathematical model and free network method, average error of unknowns (for direct and indirect measures) | | | Week 7 | Hypothesis tests, Type 1 and Type 2 errors, HOMEWORK | | | Week 8 | MIDEXAM | | | Week 9 | Test of model hypothesis, incompatible dimensions test | | | Week 11 | Significance test of the unknown, application; significance testing of model expansion parameters, application | | | Week 12 | Reliability criteria (redundanz share, internal and external trust criteria), application | | | Week 13 | Comparison of mean values of standard and standard deviations of equal and different measures | | | Week 14 | Examining whether two, three or more experimental standard deviations are equivalent | | | Week 15 | Homework review and various applications | | | Week 16 | FINAL EXAM | | | |
| 1 | Aksoy, A., 1974, Matematik İstatistik Yöntemlerle Jeodezik Ölçülerin İrdelenmesi, İTÜ. Kütüphanesi sayı 987 İstanbul. | | | |
| Method of Assessment | | Type of assessment | Week No | Date | Duration (hours) | Weight (%) | | Mid-term exam | 8 | | 1 | 30 | | Homework/Assignment/Term-paper | 7
9
10
11
12
13
14
15 | | 7 | 20 | | End-of-term exam | 16 | | 1 | 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 | 3 | 8 | 24 | | Arasınav | 1 | 1 | 1 | | Uygulama | 1 | 1 | 1 | | Ödev | 6 | 8 | 48 | | Dönem sonu sınavı için hazırlık | 2 | 1 | 2 | | Dönem sonu sınavı | 2 | 1 | 2 | | Total work load | | | 106 |
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