Data for 2018/2019

## Applied Statistics

Credits | 4 |

Hours per week | 1 / 2 / 0 |

Examination | C+Ex |

Study Language | English |

Level | Bachelor subject |

Guarantor |
Mgr. Ing. Pavel Kříž, Ph.D. Mgr. Markéta Zikmundová, Ph.D. |

Supplemental electronic materials | available at UCT Prague's e-learning |

### Summary

The Elementary Course of Statistics is aimed at bachelor degrees students. Trainees will be able to solve elementary statistical methods and its connection with some probability concepts in necessary range providing to take up them in advanced statistical parts of other subjects.

### Syllabus

1. Probability of random events, independence of random events.

2. Conditional probability, law of total probability, Bayes's theorem.

3. Random variable, distribution function, probability function, density.

4. Mean, variance, quantiles, median, critical values, independence and correlation of random variables.

5. Fundamental types of discrete and continuous distributions.

6. Random sample, sample statistics.

7. Point estimates, confidence intervals.

8. Testing of statistical hypotheses, type I and II errors. One-sample tests about mean and variance.

9. Two-sample tests about means and variances.

10. Independence testing.

11. Goodness-of-fit testing.

12. Contingency tables.

13. Fundamentals of regression analysis.

14. Summary, alternatively more specific statistical methods.

2. Conditional probability, law of total probability, Bayes's theorem.

3. Random variable, distribution function, probability function, density.

4. Mean, variance, quantiles, median, critical values, independence and correlation of random variables.

5. Fundamental types of discrete and continuous distributions.

6. Random sample, sample statistics.

7. Point estimates, confidence intervals.

8. Testing of statistical hypotheses, type I and II errors. One-sample tests about mean and variance.

9. Two-sample tests about means and variances.

10. Independence testing.

11. Goodness-of-fit testing.

12. Contingency tables.

13. Fundamentals of regression analysis.

14. Summary, alternatively more specific statistical methods.

### Literature

R: Bowerman B., O`Counel R.T.: Applied Statistics, IRWIN Inc Company 1997, ISBN 0-256-19386-X

R: Freund J.E., Walpole R.E.: Mathematical Statistics, Prentice-Hall,Inc.,Englewood Cliffs, N.J., 1980

R: Freund J.E., Walpole R.E.: Mathematical Statistics, Prentice-Hall,Inc.,Englewood Cliffs, N.J., 1980