Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
REGRESSION ANALYSIS 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.
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Doç.Dr. NESRİN GÜLER Dersi Verenler Dersin Yardımcıları Res.Assist. Emre Kişi Dersin Kategorisi 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.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she consolidates the concept of linear regression. 1 - 2 - 4 - 14 - 15 - A - C - D - 2 - He/she understands polynomial regression . 1 - 2 - 4 - 14 - 15 - A - C - D - 3 - He/she understands that how variance analysis is doing and it is using. 1 - 2 - 4 - 6 - 14 - 15 - A - C - D - 4 - He/she understands that how covariance analysis is doing and it is using. 1 - 2 - 4 - 6 - 12 - 14 - 15 - A - C - D - 5 - He/she understands fitting a specified regression. 1 - 2 - 4 - 6 - 14 - 15 - A - C - D - 6 - He/she understands choosing the best regression 1 - 2 - 4 - 6 - 14 - 15 - A - C - D -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 4:Drilland Practice 14:Self Study 15:Problem Solving 6:Motivations to Show 12:Case Study Ölçme Yöntemleri: A:Testing C:Homework D:Project / Design

#### Ders Akışı

Hafta Konular ÖnHazırlık
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.

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 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
4 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
5 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
6 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
7 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
8 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
9 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
10 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
11 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
12 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
13 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
14 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
15 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
16 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
17 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
18 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
19 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
20 Student considers the scientific and cultural ethical values in the phases of gathering and conveying data or writing articles. X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 40
Odev 1 20
PerformansGoreviSeminer 1 40
Toplam 100
Yıliçinin Başarıya Oranı 60
Finalin Başarıya Oranı 40
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(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(s) 6.36
Dersin AKTS Kredisi 6.36
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