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MANOVA calculator for two dependent variables

For every group paste X and Y in matching observation order.

Approximate p-value: —

Fill in the fields above — the result is computed on this page.

Groups
—
Observations
—
Wilks' lambda
—
Chi-square approximation
—
Degrees of freedom
—
E determinant
—
E + H determinant
—

Group means for X and Y

Group n Mean X Mean Y
Fill in the fields above — the result is computed on this page.
What these numbers mean
  • X and Y within each group must refer to the same observations.
  • The scatter plot helps inspect location and dependence.
  • After an omnibus result, analyse planned effects rather than only separate ANOVAs.

This version supports two outcomes and up to four groups. The approximation assumes independent observations, reasonable multivariate normality, similar covariance matrices and a nonsingular E matrix.

How to use this page
  1. Paste paired X and Y values for at least two groups.
  2. Review means, scatter plot and Wilks' lambda.
  3. Assess assumptions and plan follow-up analysis.

What this page does not do: This version supports two outcomes and up to four groups. The approximation assumes independent observations, reasonable multivariate normality, similar covariance matrices and a nonsingular E matrix.

Further reading

MANOVA tests whether group mean vectors differ jointly across two related outcomes. Wilks' lambda near 1 indicates little separation relative to within-group variation; a smaller lambda indicates a larger multivariate effect.

The calculator constructs E and H matrices and approximates the p-value with Bartlett's chi-square transformation.

Frequently asked questions

Why is the result approximate?

Lambda is transformed to a chi-square statistic. More exact methods depend on groups, outcomes and sample size.

Does MANOVA replace plots?

No. Always inspect distributions, outliers and the X–Y relationship within groups.

See also

← All calculators

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