Week |
Theoretical |
Practical |
1 |
Defining general statistical concepts such as variable, sample, population
Classification of variables
Graphical representation of quantitative variables and interpretation of graphs
Relative frequency histograms |
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2 |
Defining numerical parameters such as arithmetic mean, median, mode in which the center is measured and interpreting the distributions by comparing the parameters
Defining numerical parameters that determine the variability of the distribution, such as variance and standard deviation.
Box representation method |
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3 |
Determining the direction and direction of the relationship between variables by defining the correlation coefficient
Introduction of the linear curve fitting (regression) method |
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4 |
Introducing the basic concepts of probability
The use of count rule and product rule in calculating probabilities
Permutation and combination
Conditional probability, aggregate probability and Bayes' laws |
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5 |
Binomial probability distributions
Poisson random variable
Hypergeometric probability distribution |
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6 |
Reading the standard normal distributions and probabilities from the Z table
Normal distribution approximation to the binomial distribution |
|
7 |
Sample question solution |
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8 |
Sample question solution |
|
9 |
Central limit theorem
Calculation of probabilities for sample mean
Statistical process control for normal distribution and binomial distribution |
|
10 |
Estimation of population mean using confidence interval method
Estimating the success rate of the binomial distribution using the confidence interval method
Estimation of the difference between two means using the confidence interval method
Estimating the difference between two success rates using the confidence interval method |
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11 |
Large sample (n> 30) hypothesis testing method
One-way and two-way hypothesis tests
Types of errors in test statistics method |
|
12 |
Large sample hypothesis testing of the difference between two means
Hypothesis testing in binomial probability distributions
Big sample hypothesis testing of the difference between the two success rates |
|
13 |
Small sample (n <30) hypothesis testing method
Completing the t distribution and reading the probabilities from the t table
Estimation of the population mean by small sample hypothesis testing
Estimating the difference between the small sample hypothesis test and the two population means
Paired difference tests |
|
14 |
Sample question solution |
|
23 |
Textbooks, References and/or Other Materials: |
Introduction to probability and statistics lecture notes, solved questions and slides, Prof. Dr. Muhsin Kılıç. Statistics, 3rd Ed., M.R. Spiegel, l.j. Stephens. Schaums Outline Series Mc Graw-Hill, New York, 1999. Applied Statistics, S. Özer, Filiz Kitapevi, İstanbul 1996. Introduction to Probability and Statistics, 3rd Ed., Wadsworth, California, 1971. |
24 |
Assesment |
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