What is a MANOVA?
Multivariate ANalysis Of VAriance
Multidimensional ANalysis Of VAriance
Multiple ANalyses Of VAriance
Matrix of ANalyses Of Variance
Multivariate ANalyses Of VAriance
My ANOVA
Basic requirements to run MANOVA: 1 or more ❌ ❌ variable(s) 2 or more ❌ ❌ variable(s)
Assumptions of MANOVA: Homogeneity of covariance matrices – same as for ANOVA plus correlations between any DVs is the same in each group. Independence – observations Should Need not( Should, Need not ) be statistically independent. Multivariate normality – DVs collectively have multivariate normality Within Between( Within, Between ) groups. Random sampling – data should be randomly sampled from population of interest.
DVs = ?
Dependent Variables
Domestic Violence ...s
Multivariate normality assumes that the means of the various Dependent Independent( Dependent, Independent ) variables in each cell and all linear combinations of them are normally distributed.
Shapiro-Wilks test is used to test for:
Normality
Correlation
The following: - Hotelling’s Trace - Pillai’s Trace - Roy’s Largest Root - Wilk’s Lambda are all what?
Multivariate test criteria for MANOVA
Multivariate test criteria for ANOSIM
Multivariate test criteria for PERMANOVA
Multivariate test criteria for ANOVA
Multivariate test criteria for nMDS
Multivariate test criteria for SIMPER