Analysis of Variance Using a Linear Regression Model

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.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