Question

What is MANOVA?

Answer 1

For the explanation of this kind of question we need to know what is MANOVA. If explained briefly MANOVA is a short form for Multivariate Analysis Of Variance, which analyzes variables with different dependent variables. MANOVA is used for testing the difference between two or more vectors of means.

Complete step-by-step answer:
Starting with the explanation, so:
In the world of statistics, Multivariate Analysis Of Variance is a procedure used for the comparison of multivariate sample means. Multivariate is basically the involvement of more than two variable quantities. MANOVA is used for the determination of any differences found between independent groups on more than one continuous dependent variable. To be more precise, MANOVA will compare whether or not the newly created combination may differ by the different groups, or levels, of the independent variable. No matter which type of MANOVA is being used, the dependent variables are always linearly combined.
MANOVA is designed to handle multiple dependent variables at one time, you can run one MANOVA instead of multiple ANOVAs.
Let us have an instance so that the concept of MANOVA is clear to us. Take a situation where we wanted to know the effect on men and women careers for the people going to college.
On analysing the example we see that, it has two independent variables which are gender of an individual and the amount of education received by them. Although we can measure the achievements of men and women by multiple ways like: number of promotions gained, income, satisfaction and a test of overall job happiness of each individual (these are your dependent variables). Since in this case we are analysing the different dependent variables at one time with the independent variable, so this example could be analysed using a MANOVA.

Note: We have many benefits of MANOVA over ANOVA, they are:(i)Time saving: Since MANOVA techniques can test multiple variables at once, it’s a time saver (ii) Best combinations of the variables : MANOVA can figure out the best combination of variables (iii) Powerful statistics: MANOVA is a strong statistical method that can identify the smaller impact of correlated dependent variables (iv) Evaluate patterns: MANOVA can evaluate patterns among multiple dependent variables.