| Test | Purpose |
|---|---|
| F | Test if the ratio of the variances is equal to a hypothesized value. Assumes the populations are normally distributed and is extremely sensitive to departures from normality. The Levene and Brown-Forsythe tests are more robust against violations of the normality assumption than the F-test. |
| Bartlett | Test if the variances are equal. Assumes the populations are normally distributed and is extremely sensitive to departures from normality. The Levene and Brown-Forsythe tests are more robust against violations of the normality assumption than Bartlett's test. |
| Levene | Test if the variances are equal. Most powerful test for symmetric, moderate-tailed, distributions. |
| Brown-Forsythe | Test if the variances are equal. Robust against many types of non-normality. |
From the Statistical Reference Guide for Analyse-it 6.24.0: https://analyse-it.com/docs/user-guide/compare-groups/dispersion-tests
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