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Course Information
Course Unit Title : MATHEMATICAL STATISTICS
Course Unit Code : 02EKO5103
Type of Course Unit : Optional
Level of Course Unit : Second Cycle
Year of Study : 1
Semester : 1.Semester
Number of ECTS Credits Allocated : 6,00
Name of Lecturer(s) :
Course Assistants : ---
Learning Outcomes of The Course Unit : The ability to understand and to evaluate the basic theory of statistics
Mode of Delivery : Face-To-Face
Prerequisities and Co-requisities Courses : Unavailable
Recommended Optional Programme Components : Unavailable
Course Contents : The Fundamentals of Sampling Theory/Estimation Theory, Interval Estimation/Hypothesis Testing. The Power of a Test/The Analysis of Variance, Regression and Correlation Analysis
Languages of Instruction : Turkish
Course Goals : To teach the subject of course Mathematical Statistics
Course Aims : To discuss the basic theoretical considerations underlying the techniques of sampling,
To discuss the basic theoretical considerations underlying hypothesis testing applications,
To discuss the basic theoretical considerations underlying regression and correlation analysis.
WorkPlacement   Not Available
Recommended or Required Reading
Textbook : Matematiksel İstatistik, Mustafa AYTAÇ, Ezgi Kitabevi, 2004
Additional Resources : Matematiksel İstatistik, İbrahim HASGÜR, Seçkin Yayıncılık, 2000
Material Sharing
Documents :
Assignments :
Exams :
Additional Material :
Planned Learning Activities and Teaching Methods
Lectures, Practical Courses, Presentation, Seminar, Project, Laboratory Applications (if necessary)
ECTS / Table Of Workload (Number of ECTS credits allocated)
Student workload surveys utilized to determine ECTS credits.
Activity :
Number Duration Total  
Course Duration (Excluding Exam Week) :
14 3 42  
Time Of Studying Out Of Class :
14 3 42  
Homeworks :
1 30 30  
Presentation :
0 0 0  
Project :
0 0 0  
Lab Study :
0 0 0  
Field Study :
0 0 0  
Visas :
1 25 25  
Finals :
1 35 35  
Workload Hour (30) :
30  
Total Work Charge / Hour :
174  
Course's ECTS Credit :
6      
Assessment Methods and Criteria
Studies During Halfterm :
Number Co-Effient
Visa :
1 50
Quiz :
1 20
Homework :
3 30
Attendance :
0 0
Application :
0 0
Lab :
0 0
Project :
0 0
Workshop :
0 0
Seminary :
0 0
Field study :
0 0
   
TOTAL :
100
The ratio of the term to success :
50
The ratio of final to success :
50
TOTAL :
100
Weekly Detailed Course Content
Week Topics  
1 The Theory of Sampling, Random Sampling and Statistic,Sampling Distributions, Sample Mean and Sample Variance
 
2 Sampling Distribution of Mean and Variance. The Sampling Distribution of Proportion and Difference. Order Statistics and their distributions. Random Numbers
 
3 Estimation Theory. Point Estimation. Maximum Likelihood. Estimation by the Method of Moments. Mean Square Error, Unbiased, Convergent and Sufficient Estimators, The Properties of Estimators
 
4 Interval Estimation, Confidence İnterval for population mean and variance. The confidence interval for the difference between two population mean and between two population proportion
 
5 Test Theory,The simple and composite hypothesis testing
 
6 Type-one and type-two errors.
 
7 Power Function. Likelihood Test. Chi-Square Test
 
8 Analysis of Variance
 
9 Regression Analysis
 
10 Multiple Regression
 
11 Nonparametric Methods
 
12 Nonparametric Methods
 
13 Presentations
 
14 Presentations