MANOVA
E728887
MANOVA (Multivariate Analysis of Variance) is a statistical technique that tests for differences in multiple dependent variables across groups simultaneously by analyzing their combined variance–covariance structure.
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
multivariate statistical technique
ⓘ
statistical method ⓘ |
| abbreviationOf | Multivariate Analysis of Variance NERFINISHED ⓘ |
| advantage |
accounts for correlations among dependent variables
ⓘ
controls Type I error rate when testing multiple dependent variables jointly ⓘ |
| alternativeHypothesis | at least one group mean vector differs ⓘ |
| appliedIn |
agricultural experiments
ⓘ
biomedical research ⓘ education research ⓘ psychology ⓘ social sciences ⓘ |
| assesses | combined effect of independent variables on multiple outcomes ⓘ |
| basedOn | general linear model ⓘ |
| canBeExtendedTo |
mixed-design MANOVA
ⓘ
repeated-measures MANOVA ⓘ |
| canTest |
interaction effects of factors on multiple outcomes
ⓘ
main effects of factors on multiple outcomes ⓘ |
| dataType | continuous multivariate response data ⓘ |
| field | statistics ⓘ |
| fullName | Multivariate Analysis of Variance NERFINISHED ⓘ |
| generalizes | ANOVA NERFINISHED ⓘ |
| hasAssumption |
absence of multicollinearity among dependent variables
ⓘ
homogeneity of covariance matrices across groups ⓘ independence of observations ⓘ linear relationships among dependent variables ⓘ multivariate normality of dependent variables within groups ⓘ |
| input |
one or more categorical independent variables
ⓘ
two or more continuous dependent variables ⓘ |
| nullHypothesis | population mean vectors are equal across groups ⓘ |
| oftenImplementedIn |
Python statistical libraries
ⓘ
R NERFINISHED ⓘ SAS NERFINISHED ⓘ SPSS NERFINISHED ⓘ Stata NERFINISHED ⓘ |
| output | multivariate test statistics ⓘ |
| relatedTo |
ANOVA
NERFINISHED
ⓘ
discriminant analysis ⓘ multivariate regression ⓘ |
| requires | sufficient sample size relative to number of dependent variables ⓘ |
| usedFor |
analyzing multivariate mean differences across groups
ⓘ
testing group differences on multiple dependent variables simultaneously ⓘ |
| uses | variance–covariance structure of dependent variables ⓘ |
| usesStatistic |
Hotelling–Lawley trace
NERFINISHED
ⓘ
Pillai's trace NERFINISHED ⓘ Roy's largest root ⓘ Wilks' lambda NERFINISHED ⓘ |
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.