Course Information

Course Name	Turkish	İstatistik
	English	Statistics
Course Code	MAT 242	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	-	4	4	-	-
Course Language		Turkish
Course Coordinator		Mustafa Nadar
Course Objectives		This course is designed to provide the student with a solid background and understanding of the basic results and methods in mathematical statistics and related subjects. Explain the meaning of statistical models, hypothesis testing and its main principles.
Course Description		Statistical models. Main principles and theories of hypothesis testing. Parameter estimation, the likelihood function and maximum likelihood estimators. Properties of estimators: unbiased estimators; consistent estimators, Fisher information and efficient estimators, Asymptotic properties of MLE. Confidence interval and tests, Optimal tests: randomized test; powerful test, Neyman-Pearson theorem, Uniformly most powerful test; likelihood ratio test; Sufficient statistics: definition of sufficiency, The Factorization and Fisher-Neyman criteria.Midterm, The Rao-Blackwell theorem. Minimal and complete sufficient statistics, Best unbiased estimators and the Lehmann-Scheffe theorem.Some One-sample, Two-sample and Paired models. One-way and Two-way Anova. Regression analysisRegression analysis.
Course Outcomes		1. construct a solid background and demostrate the basic results and methods in mathematical statistics and related subjects. 2. explain the fundamental concept of the likelihood function, maximum likelihood estimators and properties of estimators. 3. explain the concept of the independency of random variables, expectation and law of large numbers. 4. identify the Fisher information and efficient estimators. 5. identify the hypothesis tests, uniformly most powerful test and likelihood ratio test. 6. develop the perception of regression analysis and its usefulness.
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