Estimation For Geodetic Parameters and Linear Hypothesis Testing
Geodesy and Geoinformation Engineering
Institute of Natural and Applied Sciences
Second Cycle (Master's Degree)
| Course Unit Title | Course Unit Code | Type of Course Unit | Level of Course Unit | Year of Study | Semester | ECTS Credits |
|---|---|---|---|---|---|---|
| Estimation For Geodetic Parameters and Linear Hypothesis Testing | JJM513 | Elective | Master's degree | 1 | Fall | 8 |
Name of Lecturer(s)
Associate Prof. Dr. Orhan KURT
Assistant Prof. Dr. Erman ŞENTÜRK
Learning Outcomes of the Course Unit
1) First and second type errors in the statistical tests.
2) Determine the confidence regions for univariate and bivariate random variables.
3) Mathematical models expanded with the linear hypothesis tests.
4) Testing the mathematical model and the parameter(s).
5) Outlier test.
6) Robust outlier test.
Program Competencies-Learning Outcomes Relation
| Program Competencies | ||||||||
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | ||
| Learning Outcomes | ||||||||
| 1 | High | High | Middle | Low | No relation | No relation | No relation | |
| 2 | High | High | Middle | Low | No relation | No relation | No relation | |
| 3 | High | High | Middle | No relation | No relation | No relation | No relation | |
| 4 | High | High | Middle | Low | No relation | No relation | No relation | |
| 5 | High | High | Middle | Low | No relation | No relation | No relation | |
| 6 | High | High | Middle | Low | No relation | No relation | No relation | |
Mode of Delivery
Face to Face
Prerequisites and Co-Requisites
None
Recommended Optional Programme Components
Advanced Adjustment
Course Contents
This course provides candidates with profound knowledge on; Stochastic (random) process and distributions. Normal distribution. Test distributions; t-distribution, X2- distribution, F- distribution. One and two tailed tests. Confidence region. Criterion functions (Lp-norm, p=1,2,max). Least squares (L2-norm). Mathematical models and their types. First and second type errors in the statistical testing. Linear hypothesis tests. Mathematical models expanded with linear hypothesis tests. Testing the mathematical model. Testing the parameter(s). Outlier test. Robust outlier test.
Weekly Schedule
1) Stochastic (random) process and distributions.2) Normal distribution. Test distributions; t-distribution, X2- distribution, F- distribution.
3) One and two tailed tests. Confidence region.
4) Criterion functions (Lp-norm, p=1, 2, max).
5) Least squares (L2-norm).
6) Mathematical models and their types.
7) Statistical tests.
8) Midterm examination/Assessment
9) First and second type errors in the statistical tests.
10) Linear hypothesis tests.
11) Mathematical models expanded with the linear hypothesis tests.
12) Testing the mathematical model and the parameter(s).
13) Outliers test.
14) Robust outliers test.
15) Assignment Submission: Hypothesis testing on 2D coordinates transformation.
16) Final examination
Recommended or Required Reading
1- Karl-Rudolf KOCH (1999), Parameter Estimation and Hypothesis Testing in Linear Models, Springer-Verlag Berlin Heidelberg Newyork, ISBN-540-65257-4.
2- Ahmet AKSOY (1987), Jeodezik Değerlerin Matematik-İstatistik Testlerle İrdelenmesi, HKMO 1. Harita Bilimsel ve teknik Kurultayı, 23-27 Şubat 1987, s.559-592.
3- Marinos Kavouras (1994), On the Dedecttion of outliers and the Determination of Reliability Geodetic Networks, Department of Geodesy and Geomatics Engineering, University of New Brunswick, Fredericton, Canada, November 1982, Latest Reprinting, December 1994.
4- Ergün ÖZTÜRK, Muzaffer ŞERBETÇİ (1992), Dengeleme Hesabı Cilt 3, KTÜ-MMF, Genel Yay No:144, Trabzon.
5- Alfred LEICK (1995), GPS Satellite Surveying, Second Edition, A Willey, Interscience Publication.
6- Hüseyin DEMİREL (1996), Jeodezik Verilerin Analizi, Lisans Üstü Ders Notları, YTÜ-FBE, İstanbul.
7- Weaver, B., (2005), Probability and Hypothesis Testing, www.angelfire.com/wv/bwhomedir/notes/prob hyp.pdf
8- Vincent A. VOELZ (2006), Hypothesis Testing, August 30, 2006, www.stanford.edu/~vvoelz/lectures/hypotesting.pdf
9- Hüseyin DEMİREL (1987), Nirengi Ağlarının Dengelenmesi ve Sonuçların Test Edilmesi, HGK Harita Dergisi, Ocak 1987, Sayı:98.
10- /-
11- /-
12- /-
13- /-
14- /-
15- /-
16- /-
17- /-
18- /-
19- /-
20- /-
21- /-
Planned Learning Activities and Teaching Methods
1) Lecture
2) Discussion
3) Demonstration
4) Group Study
5) Problem Solving
Assessment Methods and Criteria
Contribution of Quiz to Course Grade |
70% |
|---|---|
Contribution of Final Examination to Course Grade |
30% |
Total |
100% |
Language of Instruction
Turkish
Work Placement(s)
Not Required