Fmax Test Calculator
Calculate your Fmax score for statistical variance analysis with our precision calculator
Data Input
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Fmax Test Results
Enter your data to perform the Fmax test for homogeneity of variances.
Detailed Analysis
Your detailed variance analysis will appear here.
š Critical Fmax Values (Ī± = 0.05)
| k (groups) | df = 5 | df = 10 | df = 15 | df = 20 | df = 30 | df = 60 |
|---|---|---|---|---|---|---|
| 2 | 7.15 | 4.85 | 4.07 | 3.67 | 3.32 | 2.99 |
| 3 | 10.8 | 6.31 | 5.05 | 4.46 | 3.93 | 3.45 |
| 4 | 14.5 | 7.77 | 5.99 | 5.18 | 4.43 | 3.79 |
| 5 | 18.2 | 9.17 | 6.84 | 5.82 | 4.89 | 4.10 |
| 6 | 21.9 | 10.4 | 7.62 | 6.42 | 5.30 | 4.37 |
| 7 | 25.5 | 11.6 | 8.35 | 6.97 | 5.67 | 4.62 |
| 8 | 29.0 | 12.7 | 9.03 | 7.47 | 6.00 | 4.84 |
Note: df = degrees of freedom (n-1 for each group), k = number of groups. Values from Hartley's Fmax tables.
š Fmax Test Guidelines
When to Use
The Fmax test is appropriate when comparing 2-10 groups with equal sample sizes (n ā„ 5).
Assumptions
Data should be normally distributed and samples should be independent random samples.
Interpretation
If Fmax > critical value, reject null hypothesis of equal variances (heteroscedasticity).
Alternatives
For unequal sample sizes, consider Levene's test or Bartlett's test instead.
Sample Size
Works best with 5-60 observations per group. Larger samples increase test power.
Calculation
Fmax = sĀ²max/sĀ²min where sĀ² is the variance of each group.
Note: The Fmax test (Hartley's test) is used to assess the homogeneity of variances across groups. This calculator provides critical values based on standard statistical tables. For research purposes, always consult with a statistician about the most appropriate test for your data.