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 DELIVERY
Face to face
PRE-REQUISITES OF THE COURSE
No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT
None
COURSE DEFINITION
Topics 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
RECOMENDED OR REQUIRED READING
Walpole 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.