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Brown–Forsythe test calculator

Paste equally defined independent groups; optional fields may stay empty.

p-value: —

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

Groups
—
Observations
—
F
—
df1
—

Group dispersion

Compare group dispersion.

Group summary

Group n Center Variance / deviation
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • A small p-value indicates unequal dispersion.
  • Review group sizes and distributions.

Bartlett is sensitive to non-normality; Levene and Brown–Forsythe are generally more robust.

How do I use this page?
  1. Paste groups.
  2. Read the statistic and p-value.

What this page does not do: Bartlett is sensitive to non-normality; Levene and Brown–Forsythe are generally more robust.

Further reading

Theory — how does the Brown–Forsythe test work?

The calculator takes several independent groups defined in the same way, with optional fields that may be left empty. The Brown–Forsythe test compares absolute deviations of observations from each group's centre using an F statistic, which makes it robust to departures from normality. It is a practical, robust choice for checking equality of variances, while the Bartlett test works better when the data are approximately normal.

Frequently asked questions

Which test should I use?
Brown–Forsythe is a practical robust default; Bartlett is appropriate for approximately normal data.

See also

← All calculators

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