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master's thesis
Metoda parcijalnih najmanjih kvadrata: Regresijski model
Zagreb: University of Zagreb, Faculty of Science, 2016. urn:nbn:hr:217:915875
Sente, Tamara
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Sente, T. (2016). Metoda parcijalnih najmanjih kvadrata: Regresijski model (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:915875

Sente, Tamara. "Metoda parcijalnih najmanjih kvadrata: Regresijski model." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:915875

Sente, Tamara. "Metoda parcijalnih najmanjih kvadrata: Regresijski model." Master's thesis, University of Zagreb, Faculty of Science, 2016. https://urn.nsk.hr/urn:nbn:hr:217:915875

Sente, T. (2016). 'Metoda parcijalnih najmanjih kvadrata: Regresijski model', Master's thesis, University of Zagreb, Faculty of Science, accessed 28 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:915875

Sente T. Metoda parcijalnih najmanjih kvadrata: Regresijski model [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2016 [cited 2024 December 28] Available at: https://urn.nsk.hr/urn:nbn:hr:217:915875

T. Sente, "Metoda parcijalnih najmanjih kvadrata: Regresijski model", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2016. Available at: https://urn.nsk.hr/urn:nbn:hr:217:915875

Metadata
TitleMetoda parcijalnih najmanjih kvadrata: Regresijski model
AuthorTamara Sente
MentorMiljenko Huzak (mentor)
Committee memberMiljenko Huzak (predsjednik povjerenstva)
Committee memberVjekoslav Kovač (član povjerenstva)
Committee memberNela Bosner (član povjerenstva)
Committee memberZvonko Iljazović (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2016-09-27, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
PLS metoda (metoda parcijalnih najmanjih kvadrata) je statistička metoda koju je 1966. godine predstavio Herman Wold kao algoritam sličan metodi potencija na polju ekonometrije. U današnjici se dana metoda više koristi na području kemometrije, gdje se koristi u kombinaciji s regresijskim modelom za predviđanje nezavisne varijable. Cilj metode je reducirati dimenziju broja komponenti kojima ćemo ući u regresijski model, zbog čega nas podsjeća na PCA (metoda glavnih komponenti). Iako je PCA poznatiji u teoriji, u praksi se češće koristi PLS metoda jer pri redukciji komponenti u regresijskom modelu uzima u obzir zavisnu i nezavisnu varijablu. Osim samog modela, važna je i implementacija te se u radu spominju i dva najpoznatija algoritma: NIPALS i SIMPLS.
Abstract (english)
PLS method (partial least squares method) is a statistical method that was originated in 1966 by Herman Wold as an algorithm alike to the power method in the field of econometrics. In the present, given method is being used in the field of chemometrics, where is used in combination with the regression model to predict the independent variable. The aim is to reduce the dimension of the number of components and performs least squares regression on these components, instead of on the original data – which is similar to the PCA (Principal Component Analysis). Although PCA is much more known in theory, PLS method is used more often in practice, because in the reduction of components and regression model combines components from dependent and independent variable. In addition to the modelling, implementation takes the important part in real life, that is why the two most famous algorithm NIPALS and SIMPLS are mentioned in this paper.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:915875
Study programmeTitle: Mathematical Statistics
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 on2019-02-06 14:57:15