Skip to content

Advertisement
Advertisement unavailable offline
The page content remains available.

Cramer's V calculator

Enter observed counts as contingency-table rows. Every row in use must contain the same number of columns.

Cramer's V: —

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

Total count N
—
Rows
—
Columns
—
Chi-square statistic
—
Degrees of freedom
—
φ² = χ²/N
—
Bias-corrected V
—

What do these numbers mean?
  • A V near zero means weak association in the entered table.
  • Report N, table dimensions and chi square with V.

The measure has no direction. The chi-square approximation can be poor when expected cell counts are small.

How do I use this page?
  1. Enter counts for each row.
  2. Leave unused rows empty.
  3. Read V, corrected V and chi square.

What this page does not do: The measure has no direction. The chi-square approximation can be poor when expected cell counts are small.

Further reading

Theory — what does Cramer's V measure?

Cramer's V measures the strength of association between two categorical variables based on a contingency table. It ranges from 0 to 1 and is derived from the chi-square statistic together with the table's smaller dimension. The calculator requires entering observed counts as rows, and every row used must contain the same number of columns. A high value indicates a stronger association within that sample, but the coefficient has no sign — it measures strength, not direction, of a relationship.

Frequently asked questions

Can Cramer's V be negative?
No. It measures strength rather than association direction.
Does V=1 prove causality?
No. It only describes complete categorical association in the entered table.

See also

← All calculators

Advertisement
Advertisement unavailable offline
The page content remains available.
Offline app and draw notifications

My saved selections

Selections saved only in this browser. Numbers are shown exactly as saved; this is not a lottery ticket.

Open the My saved selections hub
Restore with preview

Restore in the hub: review the file and confirm first. Both old backups and the complete selections + journal backup are supported. Nothing is uploaded.