Information Package

Master's of Quality Engineering with Thesis

KAL508

STATISTICAL ANALYSIS

Course Code
KAL508
Semester
-
Theory+Practice
3 + 0
ECTS
10
Course TypeElective Course
Course LevelMaster's Degree With Thesis
Year of Study-
Semester-
ECTS10
Name of Lecturer(s)
Learning Outcomes

At the end of this course, the students;

  1. will have an ability to interpret statistical data sets by using numerical and graphical techniques.
  2. will have an ability to learn the probability definition and its rules to be able to solve problems.
  3. will have an ability to learn the concept of random variables and their probability and distribution functions.
  4. will have an ability to choose suitable probability distributions to apply and interrelate with the real life problems.
  5. will have an ability to describe the basic concepts of statistics (population, sample, random sample, sampling distribution etc.)
  6. will have an ability on using sampling distributions in confidence intervals and sampling distributions, gaining ability of statistical inference.
  7. will have an ability on determining relationship between variables in research studies.
Mode of DeliveryFace to face
PrerequisitesNo
Recommended Optional Programme ComponentsNone
Course DescriptionTopics of statistics and methods, units, mode, population, data analysis, central tendency measurements, sampling and sampling methods, sampling distributions. Estimation of the distribution parameters. Statistical estimation, statistical decision theory and hypothesis tests. Analysis of variance. Regression and correlation analysis.
Course Contents
WEEK TOPICS
1st Week Probability, random variables and distributions
2nd Week Expected value and moments
3rd Week Basic discrete distributions
4th Week Basic continuous distributions
5th Week Random Sampling, Some Important Statistics
6th Week Concept of Sampling distribution, Sampling Distributions of Means and S2
7th Week t-Distribution, F-Distribution
8th Week Midterm Exam
9th Week One- and Two- Sample Hypothesis Testing (for a Variance and the Ratio of Variances), Maximum Likelihood Estimation
10th Week Hypothesis Testing, Type I and II Errors. Usage of P-Value,
11th Week One- and Two- Sample Hypothesis Testing (for a Mean and Mean Differences)
12th Week Simple Linear Regression and Correlation
13th Week Analysis of Variance Application Lack-of-fit Test
14th Week Introduction to Multivariate Regression Analysis. Quality engineering applications.
15th Week
Recommended or Required ReadingWalpole R.E., Myers R.H. Myers Sh. L. Ye K. Probability and Statistics or Engineers and Scientists Prentice Hall. 7th edition.
Kara, İ., Olasılık, Bilim Teknik Yayınevi, İstanbul, 2000.
Planned Learning Activities and Teaching Methods
  • Lecture
  • Discussion
  • Questions/Answers
  • Problem Solving
  • Other
Assessment Methods and Criteria
Quantity Percentage (%)
Mid-term 1 30
Assignment 4 10
Quiz 4 20
Attendance 14 5
Total(%) 65
Contribution of In-term Studies to Overall Grade(%) 65
Contribution of Final Examination to Overall Grade(%) 35
Total(%) 100
ECTS Allocated Based on Student Workload
Activities Quantity Duration (Hour) Total Workload (Hour)
Midterm exam 1 2 2
Preparation for Quiz 4 4 16
Individual or group work 14 12 168
Preparation for Final exam 1 20 20
Course hours 14 3 42
Preparation for Midterm exam 1 20 20
Laboratory (including preparation)
Final exam 1 2 2
Homework 4 6 24
Total Work Load294
Total Work Load / 30 (h)9.8
ECTS Credit of the Course10
Language of InstructionTurkish
Work Placement(s)No
LO1 LO2 LO3 LO4 LO5 LO6 LO7
K1 X X X X X X X
K2 X X X
K3 X X X X X X X
K4
K5 X X X X X X
K6