| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Regressıon Analysıs II | MAT 525 | 0 | 3 + 0 | 3 | 6 |
| Ön Koşul Dersleri | Students are assumed to be familiar with Analysis I-II, Linear Algebra I-II, Probability, Statistics, and Regression Analysis I. |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | YUKSEK_LISANS |
| Dersin Türü | Seçmeli |
| Dersin Koordinatörü | Prof.Dr. NESRİN GÜLER |
| Dersi Verenler | |
| Dersin Yardımcıları | Res.Assist. Emre Kişi |
| Dersin Kategorisi | Diğer |
| Dersin Amacı | Applied studies are constructed on the theory. Regression analysis is an often used tool in the statisticians toolbox. The purpose of this course is to give the theory of regression analysis. |
| Dersin İçeriği | Straight-line regression. Polynomial regression. Analysis of variance. Analysis of covariance. Missing observations. Computational techniques for fitting a specified regression. Choosing the best regression. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | He/she consolidates the concept of linear regression. | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Project / Design, |
| 2 | He/she understands polynomial regression . | Lecture, Question-Answer, Drilland Practice, Self Study, Problem Solving, | Testing, Homework, Project / Design, |
| 3 | He/she understands that how variance analysis is doing and it is using. | Lecture, Question-Answer, Drilland Practice, Motivations to Show, Self Study, Problem Solving, | Testing, Homework, Project / Design, |
| 4 | He/she understands that how covariance analysis is doing and it is using. | Lecture, Question-Answer, Drilland Practice, Motivations to Show, Case Study, Self Study, Problem Solving, | Testing, Homework, Project / Design, |
| 5 | He/she understands fitting a specified regression. | Lecture, Question-Answer, Drilland Practice, Motivations to Show, Self Study, Problem Solving, | Testing, Homework, Project / Design, |
| 6 | He/she understands choosing the best regression | Lecture, Question-Answer, Drilland Practice, Motivations to Show, Self Study, Problem Solving, | Testing, Homework, Project / Design, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Straight-line regression | [1] pages 139-150 |
| 2 | Straight-line regression (continuation) | [1] pages 150-163 |
| 3 | Polynomial regression: Polynomials in one variable and orthogonal polynomials | [1] pages 165-172 |
| 4 | Piecewise Polynomial Fitting | [1] pages 172-185 |
| 5 | Analysis of variance | [1] pages 187-222 |
| 6 | One-way, two-way classification | [1] pages 187-222 |
| 7 | Analysis of covariance | [1] pages 222-225 |
| 8 | Missing observations | [1] pages 220-221 |
| 9 | Computational techniques for fitting a specified regression | [1] pages 329-353 |
| 10 | Computational techniques for fitting a specified regression (continuation) | [1] pages 353-376 |
| 11 | Computational techniques for fitting a specified regression (continuation) | [1] pages 376-388 |
| 12 | Choosing the best regression: Generating all possible regressions | [1] pages 399-413 |
| 13 | Choosing the best regression: Generating the better regressions only | [1] pages 439-447 |
| 14 | Other methods | [1] pages 447-456 |
| Kaynaklar | |
|---|---|
| Ders Notu | [1] Seber, G. A. F., Linear Regression Analysis, John Wiley, New York, 1977. |
| Ders Kaynakları | [2] Johnson, R. A. and Wichern, D. W., Applied Multivariate Statistical Analysis, Englewood Cliffs, New Jersey, 1982. [3] Searle, S. R., Matrix Algebra Useful For Statistics, Canada, 1982. [4] Searle, S. R., Linear Models, John Wiley and Sons, Inc., New York, 1971. [5] Graybill, F. A., Introduction to Matrices with Applications in Statistics, United States, 1969. [6] Graybill, F. A., An Introduction to Linear Statistical Models, Volume 1, Mc Graw-Hill Book Co., New York, 1961. |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 2 | Student follows the current journals in his/her field and puts forward problems. | X | |||||
| 2 | Student follows the current journals in his/her field and puts forward problems. | X | |||||
| 3 | Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics | X | |||||
| 3 | Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics | X | |||||
| 4 | Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. | X | |||||
| 4 | Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. | X | |||||
| 5 | Student uses different proof methods to come to a solution by analyzing the problems encountered. | X | |||||
| 5 | Student uses different proof methods to come to a solution by analyzing the problems encountered. | X | |||||
| 6 | Student determines the problems to be solved within his/her field and if necessary takes the lead. | X | |||||
| 6 | Student determines the problems to be solved within his/her field and if necessary takes the lead. | X | |||||
| 7 | Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. | X | |||||
| 7 | Student conveys, in team work, his/her knowledge in the studies done in different disciplines by applying the dynamics pertaining to his/her own field. | X | |||||
| 8 | Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters | X | |||||
| 8 | Student critically evaluates the knowledge got at the bachelor´s degree level, makes up the missing knowledge and focuses on the current subject-matters | X | |||||
| 9 | Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. | X | |||||
| 9 | Student knows a foreign language to communicate orally and in writing and uses the foreign language in a way that he/she can have a command of the Maths terminology and can do a source research. | X | |||||
| 10 | Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. | X | |||||
| 10 | Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. | X | |||||
| 10 | Student improves himself/herself at a level of expertness in Mathematics or in the fields of application by improving the knowledge got at the bachelor´s degree level. | X | |||||
| 11 | Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. | X | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 40 |
| 1. Ödev | 20 |
| 1. Performans Görevi (Seminer) | 40 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 60 |
| 1. Final | 40 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 15 | 15 |
| Assignment | 1 | 8 | 8 |
| Performance Task (Seminar) | 1 | 20 | 20 |
| Final examination | 1 | 20 | 20 |
| Toplam İş Yükü | 159 | ||
| Toplam İş Yükü / 25 (Saat) | 6,36 | ||
| Dersin AKTS Kredisi | 6 | ||