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master's thesis
Testovi o očekivanju jedne ili više populacija - geometrijski pristup
Zagreb: University of Zagreb, Faculty of Science, 2021. urn:nbn:hr:217:062591
Sabljak, Mirna
University of Zagreb
Faculty of Science
Department of Mathematics

Institutional repository: Repository of the Faculty of Science

Cite this document

Sabljak, M. (2021). Testovi o očekivanju jedne ili više populacija - geometrijski pristup (Master's thesis). Zagreb: University of Zagreb, Faculty of Science. Retrieved from https://urn.nsk.hr/urn:nbn:hr:217:062591

Sabljak, Mirna. "Testovi o očekivanju jedne ili više populacija - geometrijski pristup." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:062591

Sabljak, Mirna. "Testovi o očekivanju jedne ili više populacija - geometrijski pristup." Master's thesis, University of Zagreb, Faculty of Science, 2021. https://urn.nsk.hr/urn:nbn:hr:217:062591

Sabljak, M. (2021). 'Testovi o očekivanju jedne ili više populacija - geometrijski pristup', Master's thesis, University of Zagreb, Faculty of Science, accessed 23 December 2024, https://urn.nsk.hr/urn:nbn:hr:217:062591

Sabljak M. Testovi o očekivanju jedne ili više populacija - geometrijski pristup [Master's thesis]. Zagreb: University of Zagreb, Faculty of Science; 2021 [cited 2024 December 23] Available at: https://urn.nsk.hr/urn:nbn:hr:217:062591

M. Sabljak, "Testovi o očekivanju jedne ili više populacija - geometrijski pristup", Master's thesis, University of Zagreb, Faculty of Science, Zagreb, 2021. Available at: https://urn.nsk.hr/urn:nbn:hr:217:062591

Metadata
TitleTestovi o očekivanju jedne ili više populacija - geometrijski pristup
Title (english)Expectancy tests of one or more populations - geometric approach
AuthorMirna Sabljak
MentorSnježana Lubura Strunjak (mentor)
Committee memberSnježana Lubura Strunjak (predsjednik povjerenstva)
Committee memberRudi Mrazović (član povjerenstva)
Committee memberMatija Kazalicki (član povjerenstva)
Committee memberZrinka Franušić (član povjerenstva)
GranterUniversity of Zagreb
Faculty of Science
(Department of Mathematics)
Zagreb
Defense date and country2021-03-05, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Abstract
Kada provodimo znanstveno istraživanje, nije dovoljno samo pogledati dobivene rezultate i donijeti zaključak o problemu. Nužno je provesti statistički test i tek tada zaključiti što smo dobili tim istraživanjem. U testiranju postavljenih hipoteza koriste se različiti testovi i statistike, ovisno o problemu koji promatramo. U ovom diplomskom radu promatrali smo F-statistiku, a pitanje koje nas je zanimalo bilo je razlikuju li se promatrana očekivanja populacija. Glavna ideja rada bila je pomoću vektora objasniti zašto koristimo F-statistiku kod rješavanja takvih problema pa smo u prvom poglavlju ponovili osnovna znanja iz područja geometrije i statistike. Niz koraka u kojima smo to predočili nazvali smo geometrijski pristup. Potom smo promatrali jednu, dvije i tri populacije te kroz nekoliko primjera proveli sve korake geometrijskog pristupa te na taj način dobili F-statistiku i donijeli zaklju čke istraživanja. Tri glavna primjera preuzeta su iz [7], a dva su izmišljena i simulirana u programu R-u. Za bolje razumijevanje rad smo potkrijepili slikama koje su rađene u programima GeoGebra-i i R-u, a ideja za većinu njih preuzeta je iz glavne literature na kojoj se temelji rad [7].
Abstract (english)
When we conduct a scientific research it’s not enough to just look at the raw data to make conclusions. It is necessary to perform a statistical test and only then we can make a conclusion about the topic. Different tests and statistics are used in testing the hypothesis, depending on the problems we are interested in. In this thesis, we observed F-statistic and research subject was whether the observed population means differ. The main idea of the paper was to explain why we use F-statistics for such problems, while using vectors, so in the first chapter we reminded ourselves of the basic knowledges in the fields of geometry and statistics. We called the series of steps in which we presented this the geometric approach. We then observed one, two, and three populations and through several examples carried out all the steps of the geometric approach thus obtaining F-statistics and drawing research conclusions. Three main examples were taken over from [7] and two were made up and simulated in the R program. For a better understanding, the thesis substantiated with images made in Geogebra and R. The idea for most of them are also taken from the main literature [7] on which the paper is based.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:217:062591
Study programmeTitle: Finance and Business 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
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Created on2021-03-25 13:26:59