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master's thesis
Analiza varijance kao linearni regresijski model
2020. urn:nbn:hr:126:546017
Krajnović, Maja
Josip Juraj Strossmayer University of Osijek
Department of Mathematics
Chair of Pure Mathematics and Mathematics Teaching
Probability, Mathematical Statistics and Data Science Research Group

Cite this document

Krajnović, M. (2020). Analiza varijance kao linearni regresijski model (Master's thesis). Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics. Retrieved from https://urn.nsk.hr/urn:nbn:hr:126:546017

Krajnović, Maja. "Analiza varijance kao linearni regresijski model." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:546017

Krajnović, Maja. "Analiza varijance kao linearni regresijski model." Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, 2020. https://urn.nsk.hr/urn:nbn:hr:126:546017

Krajnović, M. (2020). 'Analiza varijance kao linearni regresijski model', Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, accessed 17 March 2025, https://urn.nsk.hr/urn:nbn:hr:126:546017

Krajnović M. Analiza varijance kao linearni regresijski model [Master's thesis]. Osijek: Josip Juraj Strossmayer University of Osijek, Department of Mathematics; 2020 [cited 2025 March 17] Available at: https://urn.nsk.hr/urn:nbn:hr:126:546017

M. Krajnović, "Analiza varijance kao linearni regresijski model", Master's thesis, Josip Juraj Strossmayer University of Osijek, Department of Mathematics, Osijek, 2020. Available at: https://urn.nsk.hr/urn:nbn:hr:126:546017

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Metadata
TitleAnaliza varijance kao linearni regresijski model
Title (english)Analysis of Variance Using a Linear Regression Model
AuthorMaja Krajnović
MentorMirta Benšić (mentor)
Committee memberNenad Šuvak (predsjednik povjerenstva)
Committee memberMirta Benšić (član povjerenstva)
Committee memberDanijel Grahovac (član povjerenstva)
GranterJosip Juraj Strossmayer University of Osijek
Department of Mathematics
(Chair of Pure Mathematics and Mathematics Teaching)
(Probability, Mathematical Statistics and Data Science Research Group)
Osijek
Defense date and country2020-09-15, Croatia
Scientific / art field,
discipline and subdiscipline		NATURAL SCIENCES
Mathematics
Probability Theory and Statistics
Abstract
U ovom diplomskom radu upoznali smo se s postupkom analize varijance korištenjem linearnog regresijskog modela. U uvodnom dijelu definirali smo osnovne pojmove potrebne u nastavku rada, a nakon toga dajemo teorijski uvod u analizu varijance. Definirajući i rastavljajući ukupnu varijabilnost modela na komponente dobivamo jednostavnu formulu za analizu varijance koju ćemo koristiti u nastavku. Postupak analize varijance korištenjem linearnog regresijskog modela objasnili smo u okviru jednosmjerne i dvosmjerne klasifikacije podataka. Sve dobivene sume kvadrata i F-statistike prikazali smo u obliku ANOVA tablice. Također smo na primjeru prikazali postupak izrade ANOVA tablice te interpretaciju njenih koeficijenata.
Abstract (english)
In this thesis, we introduced the procedure of analysis of variance using a linear regression model. In the first chapter we defined the basic concepts that we will need for the analysis of variance. In the next, main chapter of this thesis, we give a theoretical introduction to the process of variance analysis itself. By defining and breaking down the total variability of the model into components, we obtain a simple formula for analysis of variance. The procedure of analysis of variance using a linear regression model was explained within the one-way and two-way data classification. All obtained sums of squares and F-statistics are presented in the form of ANOVA table. We also presented the process of making the ANOVA table and the interpretation of its coefficients as an example.
Keywords
Keywords (english)
Languagecroatian
URN:NBNurn:nbn:hr:126:546017
Study programmeTitle: Mathematics; specializations in: Financial and Statistical Mathematics, Mathematics and Computer Science, Industrial and Applied Mathematics
Course: Financial and Statistical 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
Terms of useLicence In copyright icon
Created on2020-09-21 06:23:43