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master's thesis
Eksploratorna faktorska analiza
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:910335
Erdeljac, Barbara
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

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Erdeljac, B. (2021). Eksploratorna faktorska analiza (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:910335

Erdeljac, Barbara. "Eksploratorna faktorska analiza." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:910335

Erdeljac, Barbara. "Eksploratorna faktorska analiza." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:910335

Erdeljac, B. (2021). 'Eksploratorna faktorska analiza', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 November 2024, https://urn.nsk.hr/urn:nbn:hr:217:910335

Erdeljac B. Eksploratorna faktorska analiza [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 November 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:910335

B. Erdeljac, "Eksploratorna faktorska analiza", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:910335

Metadata
TitleEksploratorna faktorska analiza
Title (english)Exploratory factor analysis
AuthorBarbara Erdeljac
MentorAzra Tafro (mentor)
Committee memberAzra Tafro (predsjednik povjerenstva)
Committee memberSiniša Slijepčević (član povjerenstva)
Committee memberDražen Adamović (član povjerenstva)
Committee memberMiljenko Huzak (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-07-22, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Faktorska analiza je statistička metoda čiji je cilj pronaći manji broj neopaženih varijabli (faktora) koje objašnjavaju što veći dio varijabilnosti početnoga skupa podataka. Početne varijable tada možemo prikazati kao linearne kombinacije faktora, iz čijih težina vidimo koliki je utjecaj određenog faktora na neku od varijabli. Razlikujemo eksploratornu i konfirmatornu faktorsku analizu, ovisno o tome jesu li nam faktori unaprijed poznati. U radu je objašnjena podjela varijance unutar faktorskog modela na komunalnost i jedinstvenu varijancu. Radi boljeg razumijevanja faktorske analize, dana je geometrijska interpretacija faktorskog modela i prikaz faktorskog prostora na primjeru dva zajednička faktora. Dalje, objašnjene su neke od metoda procjene potrebnog broja faktora i njihovih težina te mogućnost rotacije faktora. Na kraju rada ilustrirana je primjena eksploratorne faktorske analize u programskom jeziku R na skupu podataka koji analiziraju naslove novinskih članaka i osjećaje koje oni pobuđuju u čitatelju.
Abstract (english)
Factor analysis is a statistical method that aims to find a smaller number of unobserved variables (factors) that explain as much of the variability of the initial data set as possible. The original variables can be modelled as linear combinations of the factors, whose weights represent the influence of a particular factor on the variable. Depending on our assumptions about factors, there are two types of factor analysis, exploratory and confirmatory. In this paper, the division of variance within the factor model into communality and unique variance is explained. A geometric interpretation of the factor model and an example of the factor space with two common factors are given. Methods for estimating number of factors and their loadings are explained, as well as rotations of the factors. In the end, an example of exploratory factor analysis is illustrated on a dataset that analyzes relations among news values and emotions using programming language R.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:910335
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 on2021-09-15 08:52:29