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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 do 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 do I 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

Theory — what is a MANOVA calculator for two dependent variables?

A MANOVA calculator for two dependent variables checks whether the mean vectors of several groups differ jointly across two related outcomes, X and Y. For each group you need to paste both variables in matching observation order. A Wilks' lambda close to 1 indicates little difference relative to within-group variability, while a smaller lambda points to a larger multivariate effect. The result is approximate, since lambda is converted into a chi-square statistic, and more precise methods depend on the number of groups and outcomes.

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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