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master's thesis
Coxov regresijski model
Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. urn:nbn:hr:126:052172
Paradžik, Filip
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Probability, Mathematical Statistics and Data Science Research Group

Institutional repository: Repository of School of Applied Mathematics and Informatics

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Paradžik, F. (2017). Coxov regresijski model (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:052172

Paradžik, Filip. "Coxov regresijski model." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:052172

Paradžik, Filip. "Coxov regresijski model." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2017. https://urn.nsk.hr/urn:nbn:hr:126:052172

Paradžik, F. (2017). 'Coxov regresijski model', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 18 February 2025, https://urn.nsk.hr/urn:nbn:hr:126:052172

Paradžik F. Coxov regresijski model [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2017 [cited 2025 February 18] Available at: https://urn.nsk.hr/urn:nbn:hr:126:052172

F. Paradžik, "Coxov regresijski model", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2017. Available at: https://urn.nsk.hr/urn:nbn:hr:126:052172

Metadata
TitleCoxov regresijski model
Title (english)Cox Regression
AuthorFilip Paradžik
MentorMirta Benšić (mentor)
Committee memberNenad Šuvak (predsjednik povjerenstva)
Committee memberMirta Benšić (član povjerenstva)
Committee memberDanijel Grahovac (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Probability, Mathematical Statistics and Data Science Research Group)
Osijek
Defense date and country2017-11-03, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
U radu uvodimo osnovne pojmove analize preživljenja kao što su cenzuriranje, funkcija preživljenja, funkcija rizika itd. Upoznajemo se s Kaplan-Meier procjeniteljem funkcije preživljenja te s log-rang i Wilcoxonovim testom kao metodama usporedbe dvaju ili više funkcija preživljenja. Detaljno obrađujemo teorijsku pozadinu Coxovog regresijskog modela, definiramo procedure za odabir varijabli u model te uvodimo različite denicije reziduala kojima se služimo u dijagnostici modela. U konačnici, koristeći se principima deniranim u teorijskom dijelu, gradimo Coxov regresijski model preživljenja nad ispitanicima s operiranim karcinomom debelog crijeva.
Abstract (english)
The paper introduces basic concepts of survival analysis such as censoring, survival function, hazard function etc. We dene the Kaplan-Meier estimator of the survival function and two nonparametric procedures for comparing two or more survival functions, log-rank test, and Wilcoxon test. After the theoretical background for Cox regression model is developed, we dene procedures for selecting variables in the model and introducing dierent denitions of residuals used in model diagnosis. Ultimately, using the principles dened in the theoretical part, we build Cox's regression model for subjects with colon cancer surgery.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:052172
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical Mathematics
Study programme type: university
Study level: graduate
Academic / professional title: magistar/magistra matematike (magistar/magistra matematike)
Type of resourceText
File originBorn digital
Access conditionsOpen access
Terms of useLicence In copyright icon
Created on2017-11-30 07:53:22