Levene Test Calculator
Tests equality of group variances by applying ANOVA to absolute deviations from each group mean. The form displays ANOVA on absolute deviations from group means beside levene test, using a worked condition that can be recalculated with the labeled inputs.
Enter the statistical summaries for the stated inputs
Levene test
The question behind levene test
The levene test page tests equality of group variances by applying ANOVA to absolute deviations from each group mean.
Levene test is limited to the statistical quantity named by the result panel. The levene test calculation does not silently add a population, time horizon, causal direction, or decision threshold that is absent from the fields.
Before entering the levene test data
- Group A: For levene test, the displayed group a sequence is 10, 11, 9, 10, 12. Preserve group a order when levene test depends on pairing, lag, rank, or time position, and distinguish an observed zero from a missing group a entry.
- Group B: For levene test, the displayed group b sequence is 8, 13, 10, 15, 9. Preserve group b order when levene test depends on pairing, lag, rank, or time position, and distinguish an observed zero from a missing group b entry.
- Group C: For levene test, the displayed group c sequence is 7, 16, 11, 14, 8. Preserve group c order when levene test depends on pairing, lag, rank, or time position, and distinguish an observed zero from a missing group c entry.
The entries used for levene test must refer to one coherent analysis condition. Combining incompatible populations, periods, or measurement definitions can produce valid levene test arithmetic for a nonexistent study.
Following the levene test relationship
For levene test, match every symbol in the relationship to a labeled field before substituting numbers. Levene test is reported in the scale implied by the inputs and formula.
While checking levene test, use group a observations from one defined analysis set rather than totals copied from incompatible groups.
A fixed case for comparison
The default levene test condition is Group A = 10, 11, 9, 10, 12, Group B = 8, 13, 10, 15, 9, Group C = 7, 16, 11, 14, 8.
The example reports the Levene F statistic with 2 and 12 degrees of freedom and its upper-tail p-value.
The live calculator reports Levene F statistic 3.8627615 · Between-group df 2 · Within-group df 12 · Upper-tail p-value 0.0506893. Repeating one intermediate step from ANOVA on absolute deviations from group means provides a fixed levene test reference check for later code changes.
Assumptions behind levene test
This page implements mean-centered Levene; Brown–Forsythe uses group medians and can be more robust.
For levene test, a p-value measures compatibility with a stated null model; it is not the probability that the null hypothesis is true and it does not measure practical importance.
Putting levene test beside the study design
When interpreting levene test, pair the test result with the effect direction, effect size, uncertainty, sampling design, and the rule used for one-sided or two-sided inference.
As a second check for levene test, outliers, ties, ordering, and missing entries can affect levene test even when the number of observations stays unchanged.
A practical stress test for levene test
Change group a while holding the remaining entries fixed, then state why the direction and size of the levene test change are plausible from ANOVA on absolute deviations from group means.
Repeat the levene test exercise with group c. If a modest defensible change materially alters the interpretation, report both conditions rather than presenting that levene test scenario as exact.
Input and rounding traps
Before accepting levene test, compare every entered value with its label, unit, and allowed domain after reading the printed relationship from left to right.
For levene test, do not substitute zero for an unobserved value; missingness and a measured zero describe different data.
Another levene test failure occurs when a rounded output is reused as though it were the original measurement. Carry guard digits through calculations that depend on levene test, then round only the reported value.
When the analysis changes, compare f test for two variances.
Reporting levene test reproducibly
Report levene test using ANOVA on absolute deviations from group means, followed by the entered values, units, exclusions, and analysis date. Name the levene test population or dataset boundary instead of leaving it implicit.
Keep the full calculator output with the record, including Levene F statistic 3.8627615 · Between-group df 2 · Within-group df 12 · Upper-tail p-value 0.0506893. A later levene test review can then distinguish a changed input from a different convention or software implementation.
Questions about levene test
Which input deserves the closest boundary check?
For levene test, start with group c and then group a. Confirm the levene test units and allowed domain because a valid-looking entry can still describe the wrong statistical setup.
Why could another program report a different levene test?
A different convention for rounding, tails, ties, interpolation, parameterization, or missing values can change levene test. Compare the printed levene test formula and its input definitions before treating either output as wrong.
What does levene test represent on this page?
It is the quantity produced by ANOVA on absolute deviations from group means from the displayed group a, group b, group c. This page tests equality of group variances by applying ANOVA to absolute deviations from each group mean.
What should be saved with levene test?
Save the entered values and units for group a, group b, group c, along with the analysis date, exclusions, software or formula version, and the relationship ANOVA on absolute deviations from group means. That record is sufficient to rebuild this specific levene test calculation.