Normality and Assumption Tests
Brown-Forsythe Test Calculator
Brown-Forsythe Test Calculator robust equality-of-variances test.
Normality and Assumption Tests
Brown-Forsythe Test Calculator
Robust equality-of-variances test.
Formula
Brown-Forsythe equality-of-variances test applies one-way ANOVA to absolute deviations from group medians, making it more robust to nonnormality than mean-centered Levene.
About the Brown-Forsythe Test Calculator
Robust equality-of-variances test. Assumption tests evaluate a named aspect of distribution shape, variance equality, or repeated-measures covariance structure.
How the Brown-Forsythe Test Calculator Works
Brown-Forsythe equality-of-variances test applies one-way ANOVA to absolute deviations from group medians, making it more robust to nonnormality than mean-centered Levene.
The calculation runs in your browser. Submitted values are validated for the required numeric range, data shape, units, and method-specific restrictions before a result is shown.
Required Inputs
- Groups (required)
- Alpha (required)
Results Reported
The result panel shows the final answer together with the intermediate quantities needed to audit the calculation. Depending on this method, reported values include:
methodgroup_centersss_between_deviationsss_within_deviationsdf_betweendf_withinf_statisticp_valuealphadecision
Brown-Forsythe Test Calculator Example
Use the example data button to load a known sample, then calculate and review the statistic, p-value or estimate, and interpretation.
| Input | Example value |
|---|---|
| Groups | A: 8,9,6,7,10
B: 10,12,9,11,13
C: 14,13,15,16,18 |
| Alpha | 0.05 |
How to Use the Calculator
- Confirm that the calculator title and method match the quantity, test, conversion, or planning question you need to solve.
- Enter values with compatible units and the requested sample, group, matrix, count, date, or option format.
- Select Example Data to inspect a valid input layout, or enter your own values and select Calculate.
- Review the result table, formula, worked substitutions, warnings, and interpretation rather than using only the headline number.
- Use Copy Result or Download CSV when you need a reusable record of the displayed calculation.
Understanding the Result
Use plots and subject-matter judgment with p-values because assumption tests can have low power in small samples and excessive sensitivity in large samples.
Keep the entered values, units, selected options, and any warning shown beside the result. For a hypothesis test, report the statistic, degrees of freedom where applicable, p-value, alpha level, effect size, and decision. For an estimate or conversion, report the formula convention and final unit.
Accuracy and Limitations
The calculator keeps full browser precision during calculation and rounds only for display. Accuracy still depends on correct inputs and on whether the displayed model represents the real problem. Educational calculators cannot replace required professional review, current official rules, field measurements, laboratory methods, or specialist statistical software where those are necessary.
Frequently Asked Questions
What does the Brown-Forsythe Test Calculator calculate?
Robust equality-of-variances test.
Which formula does the Brown-Forsythe Test Calculator use?
Brown-Forsythe equality-of-variances test applies one-way ANOVA to absolute deviations from group medians, making it more robust to nonnormality than mean-centered Levene.
What input does this calculator need?
The calculator form shows the required values and validates them before calculating.
Are the formulas visible?
Yes. Each calculator displays its method, assumptions, and interpretation unless disabled by the site administrator.