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  Course Description
Course Name : Regression Theory - II

Course Code : ISB-542

Course Type : Compulsory

Level of Course : Second Cycle

Year of Study : 1

Course Semester : Spring (16 Weeks)

ECTS : 6

Name of Lecturer(s) : Assoc.Prof.Dr. MAHMUDE REVAN ÖZKALE

Learning Outcomes of the Course : Apply indicator variable regression models
Apply variable selection methods
Evaluate multicollinearity
Use methods to deal with multicollinearity
Detect autocorrelation
Have estimation in autocorelated regression models
Form nonlinear regression models
Use logistic regression model with binary response variable
Create the best model that fits the data

Mode of Delivery : Face-to-Face

Prerequisites and Co-Prerequisites : None

Recommended Optional Programme Components : None

Aim(s) of Course : To enable students with the ability to apply the best model according to the explanatory and response variables and implement different estimation methods

Course Contents : Indicator variable models, variable selection and model building, multicollinearity, nonlinear regresaion, logistic regression

Language of Instruction : Turkish

Work Place : Department Senimar Room


  Course Outline /Schedule (Weekly) Planned Learning Activities
Week Subject Student's Preliminary Work Learning Activities and Teaching Methods
1 General concept of indicator variables and comments on the use of indicator variables Reading the related references Lecture, discussion and using the statistical package programs
2 Indicator variable with more than two factors, more than one indicator variable Reading the related references Lecture, discussion
3 Regression approach to analysis of variance Reading the related references Lecture, discussion
4 Model building problem, consequences of model misspecification, criteria for evaluating subset regression models Reading the related references Lecture, discussion
5 All posible regression models Reading the related references Lecture, discussion and using the statistical package programs
6 Sources and effects of multicollinearity Reading the related references Lecture, discussion and using the statistical package programs
7 Detection of multicollinearity Reading the related references Lecture, discussion
8 Midterm exam Review the topics discussed in the lecture notes and sources Written exam
9 Ridge regression Reading the related references Lecture, discussion
10 Relationship between the ridge regresiion and other estimators, ridge regression and variable selection Reading the related references Lecture, discussion and using the statistical package programs
11 Generalized ridge regression, principal components regression Reading the related references Lecture, discussion and using the statistical package programs
12 Nonlinear regression models, nonlinear least squares, transformation to linear model Reading the related references Lecture, discussion
13 Parameter estimation in a nonlinear system Reading the related references Lecture, discussion
14 Logistic regression, Poisson regression Reading the related references Lecture, discussion and using the statistical package programs
15 Regession models with autocorrelated errors Reading the related references Lecture, discussion and using the statistical package programs
16/17 Final exam Review the topics discussed in the lecture notes and sources Written exam


  Required Course Resources
Resource Type Resource Name
Recommended Course Material(s)  1. Montgomery, D. C., Peck, E. A., Vining, G. G. (2001), Introduction to Linear Regression Analysis, 3rd edition, John Wiely & Sons Inc.
Required Course Material(s)  1. Myers R. H. (1990), Classical and Modern Regression with Applications, Duxbury Press
  2. Chatterjee, S., Hadi, A. S., Price, B. (2000), Regression Analysis by Example, John Wiley & Sons Inc.


  Assessment Methods and Assessment Criteria
Semester/Year Assessments Number Contribution Percentage
    Mid-term Exams (Written, Oral, etc.) 1 60
    Homeworks/Projects/Others 5 40
Total 100
Rate of Semester/Year Assessments to Success 40
 
Final Assessments 100
Rate of Final Assessments to Success 60
Total 100

  Contribution of the Course to Key Learning Outcomes
# Key Learning Outcome Contribution*
1 Possess advanced level of theoretical and applicable knowledge in the field of Probability and Statistics. 5
2 Conduct scientific research on Mathematics, Probability and Statistics. 5
3 Possess information, skills and competencies necessary to pursue a PhD degree in the field of Statistics. 5
4 Possess comprehensive information on the analysis and modeling methods used in Statistics. 5
5 Present the methods used in analysis and modeling in the field of Statistics. 5
6 Discuss the problems in the field of Statistics. 5
7 Implement innovative methods for resolving problems in the field of Statistics. 4
8 Develop analytical modeling and experimental research designs to implement solutions. 5
9 Gather data in order to complete a research. 3
10 Develop approaches for solving complex problems by taking responsibility. 4
11 Take responsibility with self-confidence. 3
12 Have the awareness of new and emerging applications in the profession 2
13 Present the results of their studies at national and international environments clearly in oral or written form. 0
14 Oversee the scientific and ethical values during data collection, analysis, interpretation and announcment of the findings. 5
15 Update his/her knowledge and skills in statistics and related fields continously 0
16 Communicate effectively in oral and written form both in Turkish and English. 0
17 Use hardware and software required for statistical applications. 5
* Contribution levels are between 0 (not) and 5 (maximum).

  Student Workload - ECTS
Works Number Time (Hour) Total Workload (Hour)
Course Related Works
    Class Time (Exam weeks are excluded) 14 3 42
    Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
    Homeworks, Projects, Others 5 8 40
    Mid-term Exams (Written, Oral, etc.) 1 10 10
    Final Exam 1 10 10
Total Workload: 144
Total Workload / 25 (h): 5.76
ECTS Credit: 6