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Two-way ANOVA calculator

Enter the response and factor A and B level codes for every row. The design needs at least two observations in every cell.

P-value for A×B interaction: —

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

F for A
—
p for A
—
F for B
—
p for B
—
F for A×B
—
p for A×B
—
Error MS
—
Error df
—

Design cells

A level B level Replicates Cell mean
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Interpret the interaction before main effects.
  • Keep identical row order in all three fields.

The model assumes independent observations, normal residuals and similar variances. Missing cells and unbalanced designs are not supported.

How do I use this page?
  1. Paste responses and both level-code series.
  2. Check that the cell layout is complete and balanced.
  3. Read the interaction test and A and B effects.

What this page does not do: The model assumes independent observations, normal residuals and similar variances. Missing cells and unbalanced designs are not supported.

Further reading

Theory — what is two-way ANOVA?

Two-way ANOVA splits the variation of a response into the effect of factor A, the effect of factor B, their interaction, and random error. The calculator needs the response value plus level codes for both factors in every row, and the design must be full and balanced with at least two observations per cell. A significant interaction means the effect of one factor changes depending on the level of the other, which complicates a simple reading of the main effects.

Frequently asked questions

What does a significant interaction mean?
The effect of one factor changes across levels of the other.
Must codes start at 1?
No, they only need to identify levels consistently.

See also

← All calculators

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