Levene Test Calculator

Work out levene test instantly with clear inputs, formula shown and shareable results.

About Levene Test Calculator

Levene's test runs a one-way ANOVA on the absolute deviations from each group's centre. Using the median rather than the mean gives the Brown-Forsythe variant, which is robust to non-normal data.

Formula

Levene's statistic

W = [SS_between/(k−1)] / [SS_within/(N−k)] applied to |xᵢⱼ − median of group j|

Worked example

With the default values below, Levene Test Calculator returns Levene's W (Brown-Forsythe form) of 3.05303030. Change any input above and every figure here is recalculated in your browser.

Inputs used

First group: 12, 15, 14, 16, 13
Second group: 20, 28, 22, 35, 18
Third group (optional): 14, 16, 15, 17, 15

Results

Levene's W (Brown-Forsythe form): 3.05303030
p value: 0.08475077
Degrees of freedom: 2 and 12
Conclusion: No significant difference in variances at 5%

Step by step

1Values used
2Levene's statistic
3Levene's W (Brown-Forsythe form)= 3.05303030
4p value= 0.08475077
5Degrees of freedom= 2 and 12
6Conclusion= No significant difference in variances at 5%

Assumptions and limits

The result is derived only from the 3 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

Why does it matter?

Because ANOVA and pooled t-tests assume equal variances; a significant Levene result means you should switch to Welch's correction.

Why use the median?

Deviations from the median are less affected by outliers, making the test far more robust than the original mean-based version.