Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Multivariate_analysis_of_variance> ?p ?o. }
Showing items 1 to 20 of
20
with 100 items per page.
- Multivariate_analysis_of_variance abstract "Multivariate analysis of variance or multiple analysis of variance (MANOVA) is a statistical test procedure for comparing multivariate (population) means of several groups. Unlike univariate ANOVA, it uses the variance-covariance between variables in testing the statistical significance of the mean differences.It is a generalized form of univariate analysis of variance (ANOVA). It is used when there are two or more dependent variables. It helps to answer: 1. do changes in the independent variable(s) have significant effects on the dependent variables?; 2. what are the interactions among the dependent variables? and 3. among the independent variables? Statistical reports, however, will provide individual p-values for each dependent variable, indicating whether differences and interactions are statistically significant.Where sums of squares appear in univariate analysis of variance, in multivariate analysis of variance certain positive-definite matrices appear. The diagonal entries are the same kinds of sums of squares that appear in univariate ANOVA. The off-diagonal entries are corresponding sums of products. Under normality assumptions about error distributions, the counterpart of the sum of squares due to error has a Wishart distribution. Analogous to ANOVA, MANOVA is based on the product of model variance matrix, and inverse of the error variance matrix, , or . The hypothesis that implies that the product . Invariance considerations imply the MANOVA statistic should be a measure of magnitude of the singular value decomposition of this matrix product, but there is no unique choice owing to the multi-dimensional nature of the alternative hypothesis. The most common statistics are summaries based on the roots (or eigenvalues) of the matrix: Samuel Stanley Wilks' distributed as lambda (Λ) the Pillai-M. S. Bartlett trace, the Lawley-Hotelling trace, Roy's greatest root (also called Roy's largest root), Discussion continues over the merits of each, though the greatest root leads only to a bound on significance which is not generally of practical interest. A further complication is that the distribution of these statistics under the null hypothesis is not straightforward and can only be approximated except in a few low-dimensional cases.[citation needed] The best-known approximation for Wilks' lambda was derived by C. R. Rao.In the case of two groups, all the statistics are equivalent and the test reduces to Hotelling's T-square.".
- Multivariate_analysis_of_variance wikiPageExternalLink manovanewest.htm.
- Multivariate_analysis_of_variance wikiPageID "682847".
- Multivariate_analysis_of_variance wikiPageRevisionID "600209846".
- Multivariate_analysis_of_variance hasPhotoCollection Multivariate_analysis_of_variance.
- Multivariate_analysis_of_variance subject Category:Analysis_of_variance.
- Multivariate_analysis_of_variance subject Category:Design_of_experiments.
- Multivariate_analysis_of_variance comment "Multivariate analysis of variance or multiple analysis of variance (MANOVA) is a statistical test procedure for comparing multivariate (population) means of several groups. Unlike univariate ANOVA, it uses the variance-covariance between variables in testing the statistical significance of the mean differences.It is a generalized form of univariate analysis of variance (ANOVA). It is used when there are two or more dependent variables. It helps to answer: 1.".
- Multivariate_analysis_of_variance label "Analyse de variance multivariée".
- Multivariate_analysis_of_variance label "Análise multivariada da variância".
- Multivariate_analysis_of_variance label "Análisis multivariante de la varianza".
- Multivariate_analysis_of_variance label "Multivariate analysis of variance".
- Multivariate_analysis_of_variance sameAs Análisis_multivariante_de_la_varianza.
- Multivariate_analysis_of_variance sameAs Analyse_de_variance_multivariée.
- Multivariate_analysis_of_variance sameAs Análise_multivariada_da_variância.
- Multivariate_analysis_of_variance sameAs m.032mjm.
- Multivariate_analysis_of_variance sameAs Q929408.
- Multivariate_analysis_of_variance sameAs Q929408.
- Multivariate_analysis_of_variance wasDerivedFrom Multivariate_analysis_of_variance?oldid=600209846.
- Multivariate_analysis_of_variance isPrimaryTopicOf Multivariate_analysis_of_variance.