1. SylabUZ
2. Wydział Matematyki, Informatyki i Ekonometrii
3. semestr zimowy 2022/2023
4. Computer science and econometrics - pierwszego stopnia z tyt. licencjata
5. Practical Methods of Statistics

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Practical Methods of Statistics - opis przedmiotu

Cel przedmiotu

Familiarizing the student with selected methods of statistical inference.

Wymagania wstępne

Zapisz zmiany

Mathematical analysis, probability theory and mathematical statistics.

Zakres tematyczny

1. Statistical model. The purpose of statistical research, statistical space, concept of a sample, statistics, and basic concepts related to estimation and hypothesis testing.

2. Statistical inference regarding parameters in the normal model.

3. Statistical inference regarding a two-point distribution parameter.

4. Goodness-of-fit tests.

5. Comparison of two populations (including dependent samples). Estimation and hypothesis testing in families of normal distributions and two-point distributions.

6. Analysis of variance. One-way and two-way classification.

7. Rank methods. Rank tests of independence. Spearman's and Kendall's rank correlation coefficients. Wilcoxon test.

8. Selected methods of qualitative data analysis.

9. Factor analysis.

Metody kształcenia

The lecture is presented using slides for some parts and in a traditional form for others (transformations of formulas, proofs of theorems, and solved examples). During the labs, students solve tasks with hypothetical and real data using a selected statistical package and applying relevant theoretical tools.

Efekty uczenia się i metody weryfikacji osiągania efektów uczenia się

Opis efektu	Symbole efektów	Metody weryfikacji	Forma zajęć

Warunki zaliczenia

1. Tests with tasks of varying difficulty levels.

2. Written exam with questions directly related to theoretical concepts (definitions, theorems) and multiple-choice questions testing the understanding and ability to apply the discussed methods of statistical inference.

The condition for taking the exam is a positive grade in the laboratory, which is obtained after obtaining at least 50% of the maximum sum of points in two written tests. The condition for passing the course is a positive grade in the exam. The course grade consists of the laboratory grade (60%) and the exam grade (40%).

Literatura podstawowa

1. 1. R. Larsen and M. Marx, An Introduction to Mathematical Statistics and Its Applications, 5th edition. Pearson, Boston 2012.

2. 3. C. Heumann, M. Schomaker and Shalabh, Introduction to Statistics and Data Analysis with Exercises, Solutions and Applications in R. Springer 2016.

3. P. J. Bickel, K.A. Doksum, Mathematical Statistics, Holden-Day, Inc. San Francisco, 1977.

Literatura uzupełniająca

Uwagi

Zmodyfikowane przez dr Ewa Synówka (ostatnia modyfikacja: 31-12-2023 10:50)