| Week |
Theoretical |
Practical |
| 1 |
To describe the basic concepts statistics such as variable,sample and population.
Classification of variables
Graphical representation of quantitative variables and interpretation of graphics
Relative frequency histograms
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|
| 2 |
Identification of numeric parameters that diagnoses central tendency such as arithmetic mean, median and mode and interpretation of distributions by comparing the parameters.
Identification of numeric parameters that indicates variability of distributions such as variance and standart deviation.
The method of box representation
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|
| 3 |
Defining the correlation coefficient and determination the shape and direction of the relationship between the variables
Introducing Linear curve fitting (regression) method
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|
| 4 |
Introducing the basic concepts of probability
Using the conting rule and the rule of multiplication to calculate the probabilities.
Permutations and combinations
Conditional and total probability rules, Baye’s law
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|
| 5 |
Binomial probability distributions
Poisson random variable
Hypergeometric probability distribution
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| 6 |
Reading the probalities from the Z table for the normal distributions
Normal distribution approach to binomial distribution
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|
| 7 |
Problem solving for practice |
|
| 8 |
Repeating courses and midterm exam |
|
| 9 |
The central limit theorem
Calculation of probabilities for the sample average
Statistical process control for the binomial and normal distributions
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| 10 |
Estimation of the population mean by the methods of confidence interval
Estimation of the success rate of binomial distribution by the methods of confidence interval
Estimation of the difference between the population means by the methods of confidence interval
Estimation of the difference between the success rates of two binomial distribution by the methods of confidence interval
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| 11 |
Large sample (n> 30) hypothesis testing method
One-way and bi-directional hypothesis testing
Types of error in the method of test statistics
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| 12 |
Large sample hypothesis testing of the difference between the two population mean
Hypothesis testing for binomial probability distribution
Large sample hypothesis testing of the difference between success rates of two binomial distribution
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| 13 |
Small sample (n <30) hypothesis testing method
Identification of the t distribution table and reading the probabilities t table
Estimation of the population mean with small sample hypothesis testing
Estimation of the difference between the two population mean with small sample hypothesis testing
Paired t-tests
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|
| 14 |
Problem solving for practice |
|
| 23 |
Textbooks, References and/or Other Materials: |
1. Introduction to probability and statistics lecture notes, slides and solved questions, Prof. Dr. Muhsin Kılıç.
2. Statistics, 3rd Ed, M.R Spiegel, L.J. Stephens. Schaums Outline Series McGraw-Hill, Newyork,1999.
3. Uygulamalı İstatistik, S. Özer, Filiz Kitabevi, İstanbul, 1996.
4. Introduction to Probability and Statistics, 3rd Ed., Wadsworth, California,1971.
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| 24 |
Assesment |
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