Testy nezávislosti v kontingenční tabulce
| Thesis title in Czech: | Testy nezávislosti v kontingenční tabulce |
|---|---|
| Thesis title in English: | Tests of independence in contingency tables |
| Key words: | Kontingenční tabulky|Testy nezávislosti|Pearsonův test|Permutační testy|U-statistiky |
| English key words: | Contingency tables|Independence tests|Pearson's Test|Permutation tests|U-statistics |
| Academic year of topic announcement: | 2021/2022 |
| Thesis type: | Bachelor's thesis |
| Thesis language: | čeština |
| Department: | Department of Probability and Mathematical Statistics (32-KPMS) |
| Supervisor: | doc. RNDr. Matúš Maciak, Ph.D. |
| Author: | hidden - assigned and confirmed by the Study Dept. |
| Date of registration: | 24.10.2021 |
| Date of assignment: | 25.10.2021 |
| Confirmed by Study dept. on: | 18.11.2021 |
| Date and time of defence: | 21.06.2023 09:00 |
| Date of electronic submission: | 11.05.2023 |
| Date of submission of printed version: | 15.05.2023 |
| Date of proceeded defence: | 21.06.2023 |
| Opponents: | doc. RNDr. Zdeněk Hlávka, Ph.D. |
| Guidelines |
| Cieľom bakalárskej práce je oboznámiť sa s kategorickými datami, ktoré sú reprezentované (resp. zapísané)
pomocou dvojrozmernej kontingenčnej tabuľky. V súvislosti s takouto kontingenčnou tabuľkou sa v praxi často rieši otázka vzájomnej nezávislosti medzi dvoma marginálnymi veličinami. K tomuto účelu slúži hlavne Pearsonov test nezávislosti (Pearson, 1900), ktorý je zo všetkých alternatív najstarší a zároveň najznámejší. Alternatívne prístupy pre testovanie nezávislosti môžu byť založené napr. na maximálnej vierohodnosti, na tzv. U-štatistikách, alebo na neparametrických metódach. |
| References |
| [1] Agresti, A. (1996). An Introduction to Categorical Data Analysis(1st edition). Wiley Series in Probability and Statistics.
[2] Berrett, T.B., and Samworth, R.J. (2021). USP: an independence test that improves on Pearson’schi-squared and the G-test. (arXiv:2101.10880v1) [3] Pearson, K. (1900). On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling.Philosophical Magazine, Series 5,50, 157–175. |