Statistics · Hypothesis testing

Brown–Forsythe Test Calculator

Test equality of group variances using absolute deviations from group medians.

Statistics · Hypothesis testing

Enter your statistical inputs

Private in-browser calculation · explicit assumptions

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Statistics result

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Quick guide

How to use this calculator

  1. Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
  2. Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
  3. Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.

Calculation method

How the brown–forsythe test calculator works

Run one-way ANOVA on Zij=|Yij−medianᵢ|.

The result tests equality of spread without identifying which groups differ.

Worked example

Brown–Forsythe Test example

Median centering makes the spread comparison more resistant to outlying group values.

Run one-way ANOVA on Zij=|Yij−medianᵢ|.

Supported inputs

Precision and limits

Model and design

Independent groups are required; the test is robust, not assumption-free, and tiny samples offer limited evidence.

Input scope

Category lists accept up to 10,000 nonblank observations and render up to 200 distinct labels. Matching trims outer whitespace but remains case-sensitive; no numeric ordering or distance is inferred.

Interpretation

The result tests equality of spread without identifying which groups differ.

Decision boundary

The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.

Privacy

Entered values and calculated results stay in this browser and are not sent to an analytics service.

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