Testiranje statističnih hipotez

diplomsko delo

Jernej Mauko (Author), Dominik Benkovič (Mentor)

Abstract

V diplomskem delu so predstavljeni najpomembnejši statistični testi. Na začetku so razloženi osnovni pojmi statistike, ki so potrebni za razumevanje celotnega diplomskega dela. V nadaljevanju je opisano, kako potekajo statistični testi, kjer smo se osredotočili na napake, ki se pojavljajo pri testiranju statističnih hipotez ter na stopnjo značilnosti testa. V osrednjem delu so predstavljeni najpomembnejši preizkusi značilnosti. Najprej je predstavljen postopek, s katerim smo predstavili statistične teste, nato smo poglavje razdelili na dva dela. V prvem delu so predstavljeni najpomembnejši parametrični preizkusi značilnosti: testiranje populacijskega povprečja, standardnega odklona, populacijskega deleža, enakosti populacijskih povprečij za dva odvisna in dva neodvisna vzorca, homogenosti varianc, korelacijskega koeficienta, analiza variance (ANOVA). V drugem delu pa so predstavljeni najpomembnejši neparametrični preizkusi značilnosti: prilagoditveni hi-kvadratov test, test z znaki, Wilcoxonov test z rangi, Mann-Whitneyev test, preizkus neodvisnosti s kontingenčno tabelo, Spearmanova korelacija rangov, Friedmanov test in Kruskal-Wallisov test. Za vsak test smo navedli tudi zgled, za katerega smo pri obdelavi podatkov uporabili statistični program SPSS.

Keywords

matematika;statistika;hipoteze;testiranje;statistični testi;diplomska dela;

Data

Language:	Slovenian
Year of publishing:	2010
Source:	Maribor
Typology:	2.11 - Undergraduate Thesis
Organization:	UM FNM - Faculty of Natural Sciences and Mathematics
Publisher:	[J. Mauko]
UDC:	51(043.2)
COBISS:	17575176
Views:	12620
Downloads:	3468
Average score:	0 (0 votes)
Metadata:

Other data

Secondary language:	English
Secondary title:	TESTING OF STATISTICAL HYPOTHESES
Secondary abstract:	The graduation thesis presents most important statistical tests. Firstly, basic concepts in statistics, necessary for the understanding of the graduation thesis, are presented, and the process of the statistical tests is described. The emphasis is on the level of test's characteristic and the errors that occur when testing the statistical hypotheses. Then the most important tests of characteristics are introduced. First of all the process, used to present the statistical tests, is described, and then the chapter is divided into two parts. Whereas in the first one the most important parametric characteristic tests, such as Test of Population Mean, Standard Deviation, Population Proportion, Equivalence Tests for population means for two dependent and two independent samples, Homogeneity of Variance, Correlation Coefficient, Analysis of Variance (ANOVA) are presented, in the second part the most important nonparametric characteristic tests, such as Adaptive Chi-Square Test, Sign Test, Wilcoxon Signed-Rank Test, Mann-Whitney Test, Test for Independence in Contingency Tables, Spearman's Rank Correlation Test, Friedman Test and Kruskal-Wallis Test are presented. With each test also an example is given. Processing of the data was done with the help of the SPSS programme.
Secondary keywords:	statistical hypotheses testing;parametric statistical tests;nonparametric statistical tests.;
URN:	URN:SI:UM:
Type (COBISS):	Undergraduate thesis
Thesis comment:	Univ. v Mariboru, Fak. za naravoslovje in matematiko, Oddelek za matematiko in računalništvo
Pages:	59 f.
Keywords (UDC):	mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;
ID:	18457