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Course Description Course Name : Mathematical Statistics II Course Code : EM 208 Course Type : Compulsory Level of Course : First Cycle Year of Study : 2 Course Semester : Spring (16 Weeks) ECTS : 7 Name of Lecturer(s) : Asst.Prof.Dr. EBRU ÖZGÜR GÜLER Asst.Prof.Dr. GÜLSEN KIRAL Asst.Prof.Dr. HÜSEYİN GÜLER Learning Outcomes of the Course : Links distributions by applying mathematical properties of continuous distributions Knows sampling distributions and their practical usages Makes statistical estimation Makes statistical decisions by testing hypothesis for parameters Mode of Delivery : Face-to-Face Prerequisites and Co-Prerequisites : None Recommended Optional Programme Components : None Aim(s) of Course : It´s aimed in this course that the student explains the distinctive features of continuous and sampling distributions, the linkage between distributions, and statistical estimation and applying decision making processes. Course Contents : Explaining relationships between contionus random variables, mathematical examination of the properties of continuous and sampling distributions, creating confidence intervals for parameters, and testing hypothesis is covered in this lesson. Language of Instruction : Turkish Work Place : Faculty classrooms   Course Outline /Schedule (Weekly) Planned Learning Activities Week Subject Student's Preliminary Work Learning Activities and Teaching Methods 1 Motivation: A review of fundamental topics Lecture 2 Continuous Distributions: Normal and standard normal distributions Related chapter from the reference book Lecture 3 Continuous Distributions (cont): Log-normal distribution Related chapter from the reference book Lecture, problem session 4 Applications of continuous distributions Related chapter from the reference book Lecture, problem session 5 Sampling distributions: Chi-square and t distributions Related chapter from the reference book Lecture 6 Sampling distributions (cont): F and Fisher-Z distributions Related chapter from the reference book Lecture 7 Confidence interval for a single population: Creating confidence intervals Homework #1: Quiz before the midterm exam Lecture, problem session 8 Midterm 9 Confidence interval for two populations: Creating confidence intervals Related chapter from the reference book Lecture, problem session 10 Creating confidence intervals for a single population and two populations Related chapter from the reference book Lecture, problem session 11 Hypothesis test for a single population: Statistical decision making Related chapter from the reference book Lecture, problem session 12 Hypothesis test for two populations: Statistical decision making Related chapter from the reference book Lecture, problem session 13 Developing hypothesis for a single and two populations and testing these hypothesis Related chapter from the reference book Lecture, problem session 14 Chi-square test for testing independency Related chapter from the reference book Lecture, problem session 15 General review and solving problems Homework #1: Quiz before the final exam Problem session 16/17 Final Exam   Required Course Resources Resource Type Resource Name Recommended Course Material(s)  MATEMATİKSEL İSTATİSTİK, Prof. Dr. Mustafa AYTAÇ, Ezgi Kitabevi, Bursa 2012, Genişletilmiş 4. Baskı. Required Course Material(s)   Assessment Methods and Assessment Criteria Semester/Year Assessments Number Contribution Percentage     Mid-term Exams (Written, Oral, etc.) 1 80     Homeworks/Projects/Others 2 20 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 Models problems with Mathematics, Statistics, and Econometrics 4 2 Explains Econometric concepts 4 3 Estimates the model consistently and analyzes & interprets its results 5 4 Acquires basic Mathematics, Statistics and Operation Research concepts 5 5 Equipped with the foundations of Economics, and develops Economic models 0 6 Describes the necessary concepts of Business 0 7 Acquires the ability to analyze, benchmark, evaluate and interpret at conceptual levels to develop solutions to problems 4 8 Collects, edits, and analyzes data 5 9 Uses a package program of Econometrics, Statistics, and Operation Research 3 10 Effectively works, take responsibility, and the leadership individually or as a member of a team 1 11 Awareness towards life-long learning and follow-up of the new information and knowledge in the field of study 1 12 Develops the ability of using different resources in the form of academic rules, synthesis the information gathered, and effective presentation in an area which has not been studied 2 13 Uses Turkish and at least one other foreign language, academically and in the business context 1 14 Good understanding, interpretation, efficient written and oral expression of the people involved 1 15 Questions traditional approaches and their implementation while developing alternative study programs when required 3 16 Recognizes and implements social, scientific, and professional ethic values 1 17 Follows actuality, and interprets the data about economic and social events 1 18 Improves himself/herself constantly by defining educational requirements considering interests and talents in scientific, cultural, art and social fields besides career development 0 * 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 6 84 Assesment Related Works     Homeworks, Projects, Others 2 8 16     Mid-term Exams (Written, Oral, etc.) 1 10 10     Final Exam 1 14 14 Total Workload: 166 Total Workload / 25 (h): 6.64 ECTS Credit: 7