PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
EKNM 210	HYPOTHESIS TESTING	3 + 0	4th Semester	5,5

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	It is aimed to introduce the advanced topics of mathematical statistics, especially focusing on the theory of hypothesis tests, to introduce the student to the problems encountered in research in real life, and to take steps to make their applications.
Course Content	Sampling Distributions (mean, variance, proportion), Point Estimation, Point Estimation Properties, Point Estimation Methods (Moments, Maximum Likelihood, Bayesian), Sufficient Statistics, One Population Range Estimation (Theoretical), Two Populations Range Estimation (Theoretical), Hypothesis Tests Basic Concepts, Types of Errors and Test Power, One-Population Hypothesis Tests (Theoretical), Two-Populations Hypothesis Tests (Theoretical), One-Way Analysis of Variance (ANOVA), Post-Hoc Tests.
Prerequisites	EKNM 104 MATHEMATICS - II
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Gains the knowledge of statistical theory needed in econometrics.
2	Understands the theory of statistical and econometric methods.
3	Problem-solving and gains the habit of regular work.
4	Uses the sampling distribution.
5	Determines the best estimators for the parameter.
6	Knows the theory of interval estimation.
7	Knows the theory and stages of hypothesis testing.

COURSE'S CONTRIBUTION TO PROGRAM

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	2	28
Assignments	1	13	13
Mid-terms	1	30	30
Final examination	1	30	30
Total Work Load ECTS Credit of the Course			143 5,5

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
EKNM 210	HYPOTHESIS TESTING	3 + 0	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Assoc. Prof. Dr. ATALAY ÇAĞLAR	acaglar@pau.edu.tr		İİBF C0107 İİBF C0205	%

Goals		It is aimed to introduce the advanced topics of mathematical statistics, especially focusing on the theory of hypothesis tests, to introduce the student to the problems encountered in research in real life, and to take steps to make their applications.
Content		Sampling Distributions (mean, variance, proportion), Point Estimation, Point Estimation Properties, Point Estimation Methods (Moments, Maximum Likelihood, Bayesian), Sufficient Statistics, One Population Range Estimation (Theoretical), Two Populations Range Estimation (Theoretical), Hypothesis Tests Basic Concepts, Types of Errors and Test Power, One-Population Hypothesis Tests (Theoretical), Two-Populations Hypothesis Tests (Theoretical), One-Way Analysis of Variance (ANOVA), Post-Hoc Tests.

Topics

Weeks	Topics
1	Sampling Distributions, Central Limit Theory, Chi-Square Distribution, Student t Distribution
2	F Distribution, Order Statistics
3	Point Estimation and Properties of Point Estimators: Consistency
4	Unbiased Estimators, Efficiency, Cramer-Rao Inequality
5	The Rao-Blackwell Theorem, The Minimum-Variance Unbiased Estimator, Sufficient Estimators
6	Exponential Class of Probability Density Functions
7	The Methods of Point Estimation: The Method of Maximum Likelihood
8	Midterm
9	The Method of Moments, The Method of Minimum Chi-Square
10	The Method of Bayes Estimation
11	Interval Estimation
12	Interval Estimation
13	Tests of Hypotheses: I Type and II Type Error, Power Function, Function of Test, The Uniformly Most Powerful Test
14	Neyman Pearson Lemma, The Likelihood Ratio Test

Materials

Materials are not specified.

Resources

Resources	Resources Language
Mathematical Statistics with Applications, Dennis D. Wackerly and William Mendenhall, R.L.Scheaffer, Duxbury Press, USA,2007	English
Introduction to Mathematical Statistics, R.V.Hogg and A.T. Craig, Collier MacMillan, 2004	English
John E. Freund's Mathematical Statistics with Applications, Irwin Miller, Marylees Miller, Prentice Hall, 2003	English
Olasılık ve Matematiksel İstatistik, S. Günay & C. İnal, H.Ü. Fen Fakültesi Basımevi, Ankara, 1999	Türkçe
Statistical Inference, G. Casella & R.L. Berger, Duxbury Press., 2002.	English
A First Course in Mathematical Statistics, G.G. Roussas, Addison-Wesley Publishing, USA, 1973.	English
Matematiksel İstatistiğe Giriş, Y. Akdi, Bıçaklar Kitabevi, 2005, Ankara.	Türkçe
Matematiksel İstatistik, M. Aytaç, Ezgi Kitabevi, 2004, Bursa.	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	60	Final Exam
Midterm Exam	40	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student