Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
APPLIED MULTIVARIATE STATISTICAL ANALYSIS I MAT 520 0 3 + 0 3 6
Ön Koşul Dersleri Students are assumed to be familiar with Analysis I-II and Linear Algebra I-II, Probability, and Statistics
 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 Applications of multivariate techniques. The organization of data. Statistical distance and comments. Matrix algebra and random vectors. The geometry of the sample and random sampling. Sampling from a multivariate normal distribution and maximum likelihood estimation. Assessing the assumption of normality and transformations to near normality.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - He/she consolidates the culture of linear algebra, probability, and statistics. 1 - 2 - 15 - A - C - D - 2 - He/she classifications data given. 1 - 2 - 4 - 14 - 15 - A - C - D - 3 - He/she uses matrix algebra. 1 - 2 - 14 - 15 - A - C - D - 4 - He/she understands the concept of random sampling. 1 - 2 - 4 - 14 - A - C - D - 5 - He/she learns distributions, especially, normal distribution. 1 - 2 - 4 - 14 - A - C - D - 6 - He/she takes sample and estimates maximum likelihood. 1 - 2 - 4 - 14 - 15 - A - C - D - 7 - He/she assesses the assumption of normality and transforms to near normality. 1 - 2 - 4 - 14 - 15 - A - C - D -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 15:Problem Solving 4:Drilland Practice 14:Self Study Ölçme Yöntemleri: A:Testing C:Homework D:Project / Design

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Applications of multivariate techniques [1] pages 5-8
2 Applications of multivariate techniques (continuation) [1] pages 5-8
3 The organization of data [1] pages 8-37
4 Statistical distance and comments [1] pages 8-37
5 Matrix algebra [1] pages 8-37
6 Matrix algebra (continuation) [1] pages 37-53
7 Random vectors [1] pages 53-92
8 Random vectors (continuation) [1] pages 53-92
9 The geometry of the sample [1] pages 92-124
10 Random sampling [1] pages 124-141
11 Sampling from a multivariate normal distribution [1] pages 141-147
12 Maximum likelihood estimation [1] pages 141-147
13 Assessing the assumption of normality [1] pages 151-160
14 Assessing the assumption of normality and transformations to near normality [1] pages 151-160

#### 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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