COURSE UNIT TITLE

: PROBLEM BASED LEARNING II

DEGREE PROGRAMMES

Description of Individual Course Units

Course Unit Code Course Unit Title Type Of Course D U L ECTS
IST 2016 PROBLEM BASED LEARNING II COMPULSORY 2 0 0 4

Offered By

Statistics

Level of Course Unit

First Cycle Programmes (Bachelor's Degree)

Course Coordinator

PROFESSOR DOCTOR TUĞBA YILDIZ

Offered to

Statistics
Statistics(Evening)

Course Objective

This course provides generating research questions, discussion on the choice of appropriate inferential approaches and case studies: application of mathematical statistical methods to various fields. It also provides discussion and evaluation of previously done studies from the literature.

Learning Outcomes of the Course Unit

1   Explain the concepts of random sample and statistics
2   Define the fundamental sampling distributions and its properties
3   Understand how to derive point estimators and their properties
4   Interpret constructed interval estimations.
5   Explain the relationship between confidence intervals and tests of hypotheses.
6   Gain an understanding of the theory behind normal-based inference procedures for the one and two-sample problems.

Mode of Delivery

Face -to- Face

Prerequisites and Co-requisites

IST 2017 - Mathematical Statistics

Recomended Optional Programme Components

None

Course Contents

Week Subject Description
1 Random Samples, Statistics, Order Statistics
2 Empirical Distributions, Convergence concepts (Central Limit Theorem, Law of Large Numbers)
3 Sampling Distributions(Z, Chi-square, t, F)
4 Point Estimation, Point Estimation Methods(Method of Moments, Maximum Likelihood Method)
5 Properties of estimators(Unbiasedness and Relative efficiency, Mean-squared error)
6 Properties of estimators (Cramer-Rao inequality, minimum variance, efficiency)
7 Properties of estimators(Consistency and asymptotic properties), Sufficient Statistics.
8 Properties of estimators( Asymptotic properties of estimators, Sufficient Statistics)
9 Interval Estimation and Pivotal Quantity
10 Confidence Interval Based on One-Sample
11 Confidence Interval Based on Two-Sample
12 Basic concepts of hypothesis testing (simple and composite hypotheses, rejection region, Type I and Type II error)
13 Power function and power of the test, The theory behind normal-based inference procedures for the one sample problems and applications
14 Theory behind normal-based inference procedures for the two sample problems and applications

Recomended or Required Reading

Textbook(s):
L. J. Bain and M. Engelhardt, Introduction to Probability and Mathematical Statistics,
2nd Edition, Duxbury, 1992.

Supplementary Book(s):
1. R. J. Larsen and M. L. Marx, An Introduction to Mathematical Statistics and Its
Applications, 4th Edition, Prentice Hall.
2. I. Miller and M. Miller, John E. Freund's Mathematical Statistics with Applications,
7 edition Prentice Hall, 2003.H. Taha, Operations Research, McGraw Hill, 7th edition,
2003

Planned Learning Activities and Teaching Methods

Problem based leraning, class discussion

Assessment Methods

SORTING NUMBER SHORT CODE LONG CODE FORMULA
1 VZ Vize
2 FN Final
3 BNS BNS VZ * 0.40 + FN * 0.60
4 BUT Bütünleme Notu
5 BBN Bütünleme Sonu Başarı Notu VZ * 0.40 + BUT * 0.60


Further Notes About Assessment Methods

None

Assessment Criteria

Since this is an active learning system based lecture, the grades will be evaluated
with 40% midterm, 60% of the final.

Language of Instruction

Turkish

Course Policies and Rules

Attendance to at least 70% for the lectures is an essential requirement of this course
and is the responsibility of the student. It is necessary that attendance to the
lecture and homework delivery must be on time. Any unethical behavior that occurs
either in presentations or in exams will be dealt with as outlined in school policy.
You can find the undergraduate policy at http://web.deu.edu.tr/fen

Contact Details for the Lecturer(s)

To be announced.

Office Hours

To be announced.

Work Placement(s)

None

Workload Calculation

Activities Number Time (hours) Total Work Load (hours)
Lectures 14 2 28
Preparation for midterm exam 1 12 12
Preparation for final exam 1 24 24
Preparation before-after PBL/lectures 1 14 14
Midterm 1 2 2
Final 1 2 2
Participating Lectures and Field Studies 1 14 14
TOTAL WORKLOAD (hours) 96

Contribution of Learning Outcomes to Programme Outcomes

PO/LOPO.1PO.2PO.3PO.4PO.5PO.6PO.7PO.8PO.9PO.10PO.11PO.12PO.13PO.14
LO.15554
LO.25554
LO.35554
LO.45554
LO.55554
LO.65554

CONTACT INFORMATION
Dokuz Eylül Üniversitesi Cumhuriyet Bulvarı No: 144 35210 Alsancak / İZMİR
Phone: +90(232) 412 12 12 - Fax: +90 (232) 464 81 35

Copyright 2015 DEÜ. BİD

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