ECTS - Introduction to Probability and Statistics II

Introduction to Probability and Statistics II (MATH294) Course Detail

Course Name Course Code Season Lecture Hours Application Hours Lab Hours Credit ECTS
Introduction to Probability and Statistics II MATH294 3 0 0 3 5
Pre-requisite Course(s)
MATH293 Introduction to Probability and Statistics-I
Course Language Turkish
Course Type N/A
Course Level Bachelor’s Degree (First Cycle)
Mode of Delivery Face To Face
Learning and Teaching Strategies Lecture, Question and Answer, Problem Solving.
Course Coordinator
Course Lecturer(s)
Course Assistants
Course Objectives By providing basic knowledge on the some inferential statistics topics such as sampling and sampling distributions, point and interval estimations, hypothesis testing, simple linear regression and analysis of variance, to enable the students to get objective decision within uncertain environments
Course Learning Outcomes The students who succeeded in this course;
  • Upon completing the course, students are expected to; 1- have knowledge on the sampling and special sampling distributions, 2- be able to estimate the unknown population parameters by point and interval estimation techniques, 3- be able to test the hypothesis based on population parameters, 4- be able to use the goodness of fitting and independency tests on the data structure, 5- be able to apply simple linear regression and correlation analysis, 6- be able to use one way analysis of variance
Course Content Sampling and sampling distributions, Central Limit Theorem, point estimation, confidence interval, hypothesis testing, regression and correlation, variance analysis.

Weekly Subjects and Releated Preparation Studies

Week Subjects Preparation
1 Sampling Concept, Parameter and Statistics, Sampling Distributions pp.207-210
2 Central Limit Theorem pp.211-220
3 Some Applications on the Sampling Distribution of Sample Mean and Sample Proportion pp.228-233
4 The Concept of Point and Interval Estimation, Unbiased and Consistent Estimators pp.241-248
5 Confidence Intervals for Population Mean and Population Proportion pp.249-275
6 Confidence Interval for Population Standard Deviation pp.276-280
7 Midterm Exam
8 The Concept of Hypothesis Testing, Simple and Composite Hypothesis, α, β Errors, Level of Significance pp. 300-305
9 Hypotheses on Population Mean and Population Proportion pp.315-317;337-338
10 Hypothesis on Population Variance pp. 346-347
11 Hypothesis Based on The Difference Between Two Population Parameters s. 361-365
12 Goodness of Fitting Test , Independency Test, relating to the Structure of Data pp. 482-488
13 Relationship between two variables, Meaning of Covariance, Pearson Correlation Coefficient and its Significance pp. 521- 525
14 Simple Linear Regression Model, Least Squared Method, Analysis of Regression Model, Determination Coefficient pp. 531-535
15 Analysis of Variance and Overview of The Course pp. 441-445
16 Final Exam

Sources

Course Book 1. D.H. Sanders, R. K. Simidt, Statistics, A First Course, 1990
Other Sources 2. -Elementary Statistics, A step by step Approach, Bluman, 2001

Evaluation System

Requirements Number Percentage of Grade
Attendance/Participation - -
Laboratory - -
Application - -
Field Work - -
Special Course Internship - -
Quizzes/Studio Critics - -
Homework Assignments 2 10
Presentation - -
Project - -
Report - -
Seminar - -
Midterms Exams/Midterms Jury 2 50
Final Exam/Final Jury 1 40
Toplam 5 100
Percentage of Semester Work 60
Percentage of Final Work 40
Total 100

Course Category

Core Courses X
Major Area Courses
Supportive Courses
Media and Managment Skills Courses
Transferable Skill Courses

The Relation Between Course Learning Competencies and Program Qualifications

# Program Qualifications / Competencies Level of Contribution
1 2 3 4 5
1 Have an advanced level of basic theoretical knowledge on the field of public finance in order to obtain the practical gains. X
2 Identify the issues related to the field of public finance by dealing with it within the framework of the methodological approach, and report and evaluate it from an analytical point of view. X
3 Understand, interpret and analyse economic and financial events, equipped with knowledge of certain disciplines, especially economics, business and law. X
4 Develop policies and strategies for solving the problems by establishing the cause-effect relationship related to fiscal and economic issues through theoretical information and the discussions. X
5 Establish the relationship of public financial management and budget theory with public policies, he/she makes strong budget analysis, develop analysis on public finance and makes a link with the policy implementation X
6 Understand the tax theory, learning the legal structure, following the legal and financial developments and gaining a professional competence in tax matters effectively develop it. X
7 Have knowledge of accounting systems in private and public institutions and businesses, analyze and interpret the financial and financial structure of institutions with the knowledge and competence gained. X
8 Gain knowledge of macroeconomic framework and growth theory, including theoretical and country examples, evaluates economic developments from a theoretical perspective. X
9 Use foreign language in financial and economic fields, follow international literature, communicate on professional issues. X
10 Benefit from technological developments in studies specific to its field by using information technologies, digital developments and common software. X
11 Use qualitative and quantitative methods for the analysis of economic, financial, social and institutional events. X
12 While fulfilling its academic and professional responsibilities, develop an approach that respects s United Nations sustainable development goals, freedoms, rights of the disadvantaged groups, environment, cultural and moral values. X

ECTS/Workload Table

Activities Number Duration (Hours) Total Workload
Course Hours (Including Exam Week: 16 x Total Hours)
Laboratory
Application
Special Course Internship
Field Work
Study Hours Out of Class 14 3 42
Presentation/Seminar Prepration
Project
Report
Homework Assignments
Quizzes/Studio Critics
Prepration of Midterm Exams/Midterm Jury 2 10 20
Prepration of Final Exams/Final Jury 1 15 15
Total Workload 77