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# MANOVA: Box's Test; Levene's Test; variables' significance

1. How do I interpret the Box's Test of Equality of Covariance Matrices in SPSS output?
The Box's Test of Equality of Covariance Matrices reads: Box's M: 122.838; F: 3.925, df1: 30; df2: 36698.831; Sig.: .000.

2. How do I know if the variables are statistically significant? How do I know if I am to reject the null of assumption?

3. How do I interpret the Levene's Test of Equality of Error Variances?

#### Solution Preview

1. How do I interpret the Box's Test of Equality of Covariance Matrices SPSS output?

An assumption of the MANOVA is that the covariance matrices of the dependent variables are the same across groups (i.e., levels of the independent variable) in the population. Box's M tests that assumption. In this case, the p value of .000 suggests that the hypothesis of equal covariance matrices is rejected. So we have violated the homogeneity of covariance assumption of MANOVA. It is ...

#### Solution Summary

This solution is comprised of explanations of how to interpret the Box's Test of Equality of Covariance Matrices, Levene's Test of Equality of Error Variances, and statistical significance of the variables in an SPSS output.

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