Course Information


Course Information
Course Title Code Semester L+U Hour Credits ECTS
REGRESSION ANALYSIS İST307 0 + 0 3.0 5.0

Prerequisites None

Language of Instruction Turkish
Course Level Graduate Degree
Course Type Compulsory
Mode of delivery Reciting topics and their applications, home works.
Course Coordinator
Instructors
Assistants
Goals Building the fundamentals for future undergraduate and grduate courses, analysis of time series data, modeling and statistical inference
Course Content Modeling principles in time series, reliability analysis, risk analysis, stochastic financial analysis, stochastic processes. Difference equation, differential-difference equations, stochastic differential equations, ito formulation, functions of complex numbers (or functions in complex systems) and statistical applications, essentials of modeling on linear and nonlinear optimization, model assessments.
Learning Outcomes 1) Gets knowledge about conditional expected value and regression concept, normal distribution and its properties and also investigates relations between of them.
2) Obtains information about matrix notation, properties of least squares estimators of parameters, BLUE estimators, prediction and residuals.
3) Makes interpretation about preparing ANOVA table and scrutinizing of model assumptions (residual analyse).
4) Scrutinizes heteroscedasticity and weighted least squares method, autocorrelation, normal probability plot, Box-Cox transformation methods and necessary states of them.
5) Make confidence intervals and hypotesis tests about model parameters.
6) Obtains estimators of regression parameters and scrutinizes properties in multi-regression analyse.
7) Applies choosing the best model through the methods such as stepwise methods, AIC, BIC and Cp statistics.
8) Gets information about deriving distribution of quadratic forms and using them for regreesion analysis process.
9) Applies Ridge regression for multicollinearity problem and eliminates heteroscedasticity besides the methods.
10) Understands basic descriptions about polinomial, Logistic and Poisson regression.

Weekly Topics (Content)
Week Topics Teaching and Learning Methods and Techniques Study Materials
1. Week Conditional expected value and regression concept, normal distribution and properties Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
2. Week Simple linear regression model and least squares estimators of parameters Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
3. Week Matrix notation, properties of least squares estimators of parameters, BLUE, prediction and residuals Lecture

Homework Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
4. Week Preparation of ANOVA table Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
5. Week Scrutinize of model assumptions (residual analysis) Lecture

Presentation (Including Preparation Time) Report (Including Preparation and presentation Time)
6. Week Heteroscedasticity, weighted least squares method, autocorrelation, normal probability plot, Box-Cox transformations Lecture

Homework Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
7. Week Confidence intervals for parameters and hypotesis tests Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
8. Week Midterm exam Lecture

Report (Including Preparation and presentation Time)
9. Week Multi-regression and estimators of regression parameters, properties of estimators Lecture

Homework Project (Including Preparation and presentation Time)
10. Week Selection of proper regression model, AIC and BIC Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
11. Week Distribution of quadratic forms Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
12. Week Stepwise methods, polinomial regression and MINMAD regression Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
13. Week Multicollinearity problem and methods for eliminating multicollinearity Lecture

Presentation (Including Preparation Time) Practice (Teaching Practice, Music/Musical Instrument Practice, Statistics, Laboratory, Field Work, Clinic and Polyclinic Practice)
14. Week Ridge Regression Lecture

Presentation (Including Preparation Time)

Sources Used in This Course
Recommended Sources
Mendenhall, W. and T. Sincich (1996). A Second Course in statistics: Regression Analysis , Prentice Hall
Miller, I. and M. Miller (2004). Mathematical Statistics with Applications , Pearson Education
Rawlings, John O. (1988). Applied Regression Analysis: A Research Tool , Wadsworth & Brooks

Assessment
Measurement and Evaluation Methods and Techniques
At least one midterm and a final exam will be given. Weekly homeworks will be counted for the final grade.
ECTS credits and course workload
Event Quantity Duration (Hour) Total Workload (Hour)
Course Duration (Total weeks*Hours per week) 14 4
Work Hour outside Classroom (Preparation, strengthening) 14 4
Homework 6 2
Midterm Exam 1 2
Time to prepare for Midterm Exam 1 8
Time to prepare for Final Exam 1 2
Total Workload
Total Workload / 30 (s)
ECTS Credit of the Course
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Course Information