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# MANOVA

### Multivariate Analysis and MANOVA

The MANOVA (multivariate analysis of variance) is a type of multivariate analysis used to analyze data that involves more than one dependent variable at a time. MANOVA
allows us to test hypotheses regarding the effect of one or more independent
variables on two or more dependent variables.

A MANOVA analysis generates a
p-value that is used to determine whether or not the null hypothesis can be
rejected. See
Statistical Data Analysis for more information.

### MANOVA Example

Suppose we have a hypothesis that a new teaching style is better than the
standard method for teaching math. We may want to look at the effect of teaching
style (independent variable) on the average values of several dependent
variables such as student satisfaction, number of student absences and math
scores. A MANOVA procedure allows us to test our hypothesis for all three
dependent variables at once.

### More About MANOVA

Like the example above, a MANOVA is often used to detect differences in the
average values of the dependent variables between the different levels of the
independent variable. Interestingly, in addition to detecting differences in the
average values, a MANOVA test can also detect differences in correlations among
the dependent variables between the different levels of the independent
variable.

MANOVA is simply one of many multivariate analyses that can be performed
using SPSS. The SPSS MANOVA procedure is a standard,
well accepted means of performing this analysis.

Multiple Linear Regression is another type of multivariate analysis, which is described in its own tutorial topic.

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