| Title | Coxov regresijski model |
| Author | Filip Paradžik |
| Mentor(s) | Mirta Benšić (thesis advisor)
|
| 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. |
| Keywords | Survival analysis censoring survival function hazard function Kaplan-Meier estimator log-rank test Cox regression |
| Parallel title (English) | Cox Regression |
| Committee Members | Nenad Šuvak (committee chairperson)
Mirta Benšić (committee member)
Danijel Grahovac (committee member)
|
| Granter | Josip Juraj Strossmayer University of Osijek
Department of Mathematics |
| Lower level organizational units | Chair of Pure Mathematics
Probability and Mathematical Statistics Research Group |
| Place | Osijek |
| State | Croatia |
| Scientific field, discipline, subdiscipline | NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
|
| Study programme type | university |
| Study level | graduate |
| Study programme | Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics |
| Study specialization | Financial and Statistical Mathematics |
| Academic title abbreviation | mag.math. |
| Genre | master's thesis |
| Language | Croatian |
| Defense date | 2017-11-03 |
| Parallel 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. |
| Parallel keywords (Croatian) | Analiza preživljenja cenzuriranje funkcija preživljenja funkcija rizika Kaplan-Meier procjenitelj log-rang test Coxov regresijski model proporcionalnog rizika. |
| Resource type | text |
| Access condition | Open access |
| Terms of use |  |
| URN:NBN | https://urn.nsk.hr/urn:nbn:hr:126:052172 |
