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Daudzvarianto dispersijas analīze (MANOVA)×Kovariācijas analīze (ANCOVA)×Lineārā diskriminantā analīze×Vienvirziena dispersijas analīze×
NozareStatistikaStatistikaStatistikaStatistika
SaimeHypothesis testHypothesis testLatent structureHypothesis test
Izcelsmes gads1932193219361925
AutorsSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Ronald A. FisherRonald A. FisherRonald A. Fisher
TipsParametric multivariate mean comparisonParametric group comparison with covariate controlSupervised classification and dimension reductionParametric mean comparison
PirmavotsTabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Tabachnick, B.G. & Fidell, L.S. (2013). Using Multivariate Statistics (6th ed.). Pearson. ISBN: 978-0205849574Fisher, R. A. (1936). The use of multiple measurements in taxonomic problems. Annals of Eugenics, 7(2), 179–188. DOI ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
Citi nosaukumiMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysisone-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
Saistītās5444
KopsavilkumsMANOVA is a parametric hypothesis test that simultaneously compares group means across multiple continuous dependent variables, controlling the inflation of Type I error that would result from running separate ANOVAs. Key multivariate test statistics — Wilks' Lambda, Pillai's Trace, Hotelling-Lawley Trace, and Roy's Greatest Root — were developed between the 1930s and 1950s, with Wilks' Lambda formalised by Samuel Stanley Wilks in 1932.ANCOVA is a parametric hypothesis test that compares the adjusted means of two or more independent groups while statistically controlling for one or more continuous covariates. By removing the portion of outcome variance explained by the covariate, ANCOVA increases statistical precision and produces fairer group comparisons. The method builds on the general linear model framework consolidated by Fisher in the early 1930s and is described comprehensively by Tabachnick and Fidell (2013).Discriminant analysis finds linear combinations of predictor variables that best separate two or more known groups. It is used both to understand which predictors distinguish the groups and to classify new observations into those groups with minimum error.One-way ANOVA is a parametric hypothesis test that compares the means of three or more independent groups on a single continuous outcome to decide whether at least one group mean differs. It rests on the variance-partitioning framework introduced by Ronald A. Fisher in 1925.
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ScholarGateSalīdzināt metodes: MANOVA · ANCOVA · Discriminant Analysis · One-way ANOVA. Izgūts 2026-06-20 no https://scholargate.app/lv/compare