Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
APPLIED MULTIVARIATE STATISTICAL ANALYSIS II MAT 521 0 3 + 0 3 6
Ön Koşul Dersleri Students are assumed to be familiar with Analysis I-II and Linear Algebra I-II, Probability, Statistics, and Applied Multivariate Statistical Analysis I
 Dersin Dili Türkçe Dersin Seviyesi Yüksek Lisans Dersin Türü SECMELI Dersin Koordinatörü Prof.Dr. HALİM ÖZDEMİR Dersi Verenler Dersin Yardımcıları Res.Assist. Emre Kişi and Res.Assist. Tuğba Petik Dersin Kategorisi Alanına Uygun Öğretim Dersin Amacı Researchers in biological, physical, and social sciences frequently collect measurements on several variables. Applied Multivariate Statistical Analysis is concerned with statistical methods for describing and analyzing these multivariate data. Data analysis, while interesting with one variable, becomes truly fascinating and challenging when several variables are involved. The purpose of this course is to present the concepts and methods of multivariate analysis at a level that is easily understandable by students who have taken two or more mathematics and statistics courses. Dersin İçeriği Inferences about a mean vector. Comparisons of several multivariate means. Multivariate linear regression models.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she uses matrix algebra. 1 - 2 - 3 - 4 - 14 - A - C - D - 2 - He/she understands the concept of confidential region about the mean vector. 1 - 2 - 3 - 14 - A - C - D - 3 - He/she interprets about the mean vector for large sample. 1 - 2 - 3 - 4 - 6 - 14 - A - C - D - 4 - He/she interprets about the mean vector when some observations are missing. 1 - 2 - 3 - 4 - 6 - 14 - A - C - D - 5 - He/she understands multivariate linear regression models and multivariate multiple linear regression models 1 - 2 - 3 - 4 - 6 - 14 - 15 - A - C - D - 6 - Inferences about a mean vector. Comparisons of several multivariate means. Multivariate linear regression models. 1 - 2 - 3 - 4 - 6 - 14 - 15 - A - C - D -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 3:Discussion 4:Drilland Practice 14:Self Study 6:Motivations to Show 15:Problem Solving Ölçme Yöntemleri: A:Testing C:Homework D:Project / Design

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Inferences about a mean vector [1] pages 177-199
2 Inferences about a mean vector (continuation) [1] pages 199-214
3 Inferences about a mean vector (continuation) [1] pages 214-225
4 Comparisons of several multivariate means [1] pages 226-237
5 Comparisons of several multivariate means (continuation) [1] pages 237-247
6 Comparisons of several multivariate means (continuation) [1] pages 247-259
7 Comparisons of several multivariate means (continuation) [1] pages 259-263
8 Comparisons of several multivariate means (continuation) [1] pages 263-288
9 Multivariate linear regression models [1] pages 291-302
10 Multivariate linear regression models (continuation) [1] pages 302-310
11 Multivariate linear regression models (continuation) [1] pages 310-318
12 Multivariate linear regression models (continuation) [1] pages 318-333
13 Multivariate linear regression models (continuation) [1] pages 333-342
14 Multivariate linear regression models (continuation) [1] pages 342-357

#### Kaynaklar

Ders Notu [1] Johnson, R. A. and Wichern, D. W., Applied Multivariate Statistical Analysis, Englewood Cliffs, New Jersey, 1982.
Ders Kaynakları [2] Seber, G. A. F., Linear Regression Analysis, John Wiley, New York, 1977.

[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.

#### 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 understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
3 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
4 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
5 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
6 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 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 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 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 Develop strategic, political and practice plans and evaluate the results by taking into account the quality process in his/her area of expertise X
11 Student follows the current journals in his/her field and puts forward problems. X
12 Student understands the relations between the disciplines pertaining to the undergraduate programs of Mathematics X
13 Student gets new knowledge by relating the already acquired experience and knowledge with the subject-matters out of his/her field. X
14 Student uses different proof methods to come to a solution by analyzing the problems encountered. X
15 Student determines the problems to be solved within his/her field and if necessary takes the lead. X
16 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
17 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
18 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
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
PerformansGoreviSeminer 1 40
Odev 1 20
AraSinav 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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