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Analisis Varians Multivariat (MANOVA)×Analisis Kovarians (ANCOVA)×Analisis Diskriminan×Ujian-t Sampel Bebas×Analisis Varians Satu Hala×
BidangStatistikStatistikStatistikStatistikStatistik
KeluargaHypothesis testHypothesis testLatent structureHypothesis testHypothesis test
Tahun asal19321932193619081925
PengasasSamuel Stanley Wilks (Wilks' Lambda, 1932); Roy, Hotelling, Pillai (mid-20th c.)Ronald A. FisherRonald A. FisherStudent (W. S. Gosset)Ronald A. Fisher
JenisParametric multivariate mean comparisonParametric group comparison with covariate controlSupervised classification and dimension reductionParametric mean comparisonParametric mean comparison
Sumber perintisTabachnick, 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 ↗Student (1908). The probable error of a mean. Biometrika, 6(1), 1–25. DOI ↗Fisher, R. A. (1925). Statistical Methods for Research Workers. Edinburgh: Oliver and Boyd. link ↗
AliasMultivariate ANOVA, Çok Değişkenli ANOVA (MANOVA)analysis of covariance, covariance analysis, ANCOVA (Kovaryans Analizi)LDA, Fisher discriminant analysis, discriminant function analysis, canonical discriminant analysisstudent t-test, two-sample t-test, unpaired t-test, bağımsız örneklem t-testione-factor ANOVA, single-factor ANOVA, analysis of variance, tek yönlü ANOVA
Berkaitan54444
RingkasanMANOVA 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.The independent samples t-test is a parametric hypothesis test that compares the means of two independent groups to decide whether they differ significantly. It builds on the t-distribution introduced by Student (W. S. Gosset) in 1908 and assumes the measured values are continuous, approximately normally distributed, and have equal variances.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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ScholarGateBandingkan kaedah: MANOVA · ANCOVA · Discriminant Analysis · Independent t-test · One-way ANOVA. Dicapai 2026-06-20 daripada https://scholargate.app/ms/compare