Multivariate analysis of variance (MANOVA) is an extension of the univariate analysis of variance. In Analysis of Variance, we examine the one scale dependent variable with the grouping independent variable. Analysis of variance is used to compare the group with only one dependent variable. To account for multiple dependent variables, MANOVA bundles them together into a weighted linear combination or composite variable. MANOVA will compare whether or not the independent variable group differs from the newly created group. In this way, MANOVA essentially tests whether or not the independent grouping variable simultaneously explains a significant amount of variance in the dependent variable.
Key concepts and terms:
Comparison between ANOVA and MANOVA:
Computation of MANOVA is more complex compared to the ANOVA. In ANOVA, we compute univariate F statistic but in MANOVA, we compute multivariate F statistics. In ANOVA, we compare grouping independent variables with one dependent variable, but in MANOVA, we compare many dependent variables with the grouping variable.
SPSS: Can be performed using the analysis menu, selecting the “GLM” option, and then choosing the “Multivariate” option from the GLM option.
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