If you have correlated DVs in a MANOVA with a two-group IV,...

If you have correlated DVs in a MANOVA with a two-group IV, you should:
(a) Cry
(b) Conduct t-test analyses of the single DVs
(c) Conduct $\chi^2$ analyses of the DVs followed by t-tests
(d) None of the above

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Key Concepts

Multivariate Analysis of Variance (MANOVA)

MANOVA is a statistical technique that extends classical ANOVA when there are multiple dependent variables that may be correlated. It assesses whether changes in the independent variable(s) have a significant effect on the combined dependent variables, taking into account the potential intercorrelations among them.

Correlated Dependent Variables

When dependent variables are correlated, analyzing them simultaneously is more appropriate because it accounts for their shared variance. This approach increases statistical power and controls for the risk of Type I errors that could arise from conducting separate analyses for each variable.

Univariate Analyses (t-tests)

Univariate t-tests are used to compare two groups on a single dependent variable at a time. However, when multiple correlated dependent variables are involved, using separate t-tests ignores the correlations among them, which can lead to misleading conclusions and increased risk of Type I error.

Chi-square Analysis

Chi-square analysis is typically used for testing relationships between categorical variables. It is not suited for analyzing continuous dependent variables, which are usually the focus in analyses like MANOVA.

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