Višeparametarska linearna regresija i smrtnost od tumora

master's thesis

• Title (english): Multiparameter linear regression and tumor mortality
• Author: Matea Varkaš
• Mentor: Siniša Slijepčević (mentor)
• Committee member: Siniša Slijepčević (predsjednik povjerenstva)
• Committee member: Damir Bakić (član povjerenstva)
• Committee member: Boris Širola (član povjerenstva)
• Committee member: Zoran Vondraček (član povjerenstva)
• Granter: University of Zagreb; Faculty of Science; (Department of Mathematics); Zagreb
• Defense date and country: 2023-11-30, Croatia
• Scientific / art field, discipline and subdiscipline: NATURAL SCIENCES; Mathematics

Abstract

Ovaj rad ima za cilj detaljno razraditi višeparametarsku linearnu regresiju te primijeniti dobivene rezultate u analizi učinkovitosti djelatne tvari epoetin alfa. U uvodnom poglavlju razmatraju se osnovni pojmovi iz vjerojatnosti i statistike, a zatim slijedi analiza modela višeparametarske linearne regresije kroz točkovnu i intervalnu procjenu parametara te testiranje hipoteza o modelu. Zaključno, rad primjenjuje teorijske spoznaje u analizi utjecaja epoetina alfa na kvalitetu života pacijenata s malignim bolestima, prezentira rezultate regresijske analize i istražuje povezanost između razine hemoglobina i kvalitete života. Analizom podataka iz randomiziranog, dvostruko slijepog, placebom kontroliranog ispitivanja koristeći višeparametarsku linearnu regresiju utvrđena je dobrobit epoetina alfa na životni standard kod bolesnika koji primaju kemoterapiju bez platine.

Abstract (english)

The aim of this work is to comprehensively elaborate on multiple linear regression and apply the obtained results in the analysis of the efficacy of the drug epoetin alfa. In the introductory chapter, the basic concepts of probability and statistics are considered, followed by the analysis of the multiple linear regression model through point and interval estimation of parameters and hypothesis testing about the model. In conclusion, the paper applies theoretical insights in analyzing the impact of epoetin alfa on the quality of life in patients with malignant diseases, presenting the results of regression analysis and exploring the correlation between hemoglobin levels and quality of life. Through the analysis of data from a randomized, double-blind, placebo-controlled trial using multiple linear regression, the benefit of epoetin alfa on the quality of life in patients receiving non-platinum chemotherapy was determined.

• Keywords: epoetin alfa; vjerojatnost; statistika; maligne bolesti; razina hemoglobina; kemoterapija
• Language: croatian
• URN:NBN: urn:nbn:hr:217:002459
• Study programme: Title: Financial and Business Mathematics; Study programme type: university; Study level: graduate; Academic / professional title: sveučilišni magistar matematike (sveučilišni magistar matematike)
• Type of resource: Text
• File origin: Born digital
• Access conditions: Open access
• Created on: 2024-02-13 09:20:41