Thesis (Selection of subject)Thesis (Selection of subject)(version: 390)
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Volba modelu
Thesis title in Czech: Volba modelu
Thesis title in English: Model selection
Key words: Velká data|volba modelu|pricip koherence|zjednodušení modelu|lineární regrese|svaz
English key words: Big data|model selection|principle of coherence|model simplification|linear regression|lattice
Academic year of topic announcement: 2023/2024
Thesis type: diploma thesis
Thesis language: čeština
Department: Department of Probability and Mathematical Statistics (32-KPMS)
Supervisor: prof. RNDr. Jaromír Antoch, CSc.
Author: Bc. Albert Zejda - assigned and confirmed by the Study Dept.
Date of registration: 16.03.2024
Date of assignment: 17.03.2024
Confirmed by Study dept. on: 17.03.2024
Date and time of defence: 09.09.2025 08:20
Date of electronic submission:15.07.2025
Date of submission of printed version:15.07.2025
Opponents: doc. RNDr. Zdeněk Hlávka, Ph.D.
 
 
 
Guidelines
V době velkých dat se stále častěji setkáváme se situacemi, kdy je možno k jejich popisu použít mnoho modelů, které se částečně liší (překrývají). Cílem této práce je popsat metodu volby modelu vycházející z tak zvaného principu koherence, a vyzkoušet ji na datech. Srovnání s jinými přístupy by mělo ukázat výhody a nevýhody daného přístupu.

In the era of big data, we are increasingly encountering situations where it is possible to use for their description many models that partially differ (overlap) to. The aim of this work is to describe a model selection method based on the so-called coherence principle and to test it on data. A comparison with other approaches should show the advantages and disadvantages of a given approach.
References
Edwards D. a Havránek T. A fast procedure for model search in multidimensional contingency tables. Biometrika 72, 339-351, 1985.

Edwards D. a Havránek T. A fast model selection procedure. Journal of the American Statistical Association 82, 205-213, 1987.

Edwards D. Hierarchic mixed interaction models (with discussion). Journal of the Royal Statistical Society B~52, 3-20, 1990.

Gabriel K.V. Simultaneous test procedures -- some theory of multiple comparisons. Annals of Mathematical Statistics 40, 224-250, 1969.

Wermuth N. Model search in multiplicative models. Biometrics 32, 253-263, 1976.
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