Višefaktorska analiza varijance ponovljenih mjerenja

Molnar, Nikolina (2016) Višefaktorska analiza varijance ponovljenih mjerenja. Diploma thesis, Faculty of Science > Department of Mathematics.

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Abstract

The main topic of this paper was multifactorial analysis of variance of repeated measures. Analysis of variance of repeated measures is a statistical method used to test the equality of means having repeated measurements on same subjects. In first chapter partially was processed t-test for paired samples. In the second section we explained one-way and multi-way analysis of variance. The variability was explained by dividing on various sum of squares, it was given the mathematical model and all statistics with sum of squares and corresponding degrees of freedom are given in standard ANOVA tables. Afterwards, it was elaborated analysis of variance of repeated measures with one and multi factors. Already elaborated models were upgraded and it was easier to explain and understand further dividing of defined sum of squares. It was shown that a main cause of extra sum of squares were additional measurements on same subjects, which caused less unexplained variability as a result of more homogenized sample. The advantages were discussed, mathematical model was given, assumptions were named and elaborated and again all relevant statistics were given in standard ANOVA tables. Throughout examples models were numerically analyzed and through them we have shown concrete application processed methods. By that, this paper is not just theoretical but applied as well. Also, throughout examples was introduced program system SAS, which is one of the most popular tools for data analysis in academic and business world. Although the analysis of variance is used for a long time, for diverse statistical problems, it hasn’t become old fashioned. Moreover, it is one of the most used and up to date statistical method, which is still actively developing.

Item Type: Thesis (Diploma thesis)
Supervisor: Jazbec, Anamarija
Date: 2016
Number of Pages: 53
Subjects: NATURAL SCIENCES > Mathematics
Divisions: Faculty of Science > Department of Mathematics
Depositing User: Iva Prah
Date Deposited: 26 Aug 2016 08:11
Last Modified: 26 Aug 2016 08:11
URI: http://digre.pmf.unizg.hr/id/eprint/4989

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