Calculadora del Estadístico F de ANOVA — Fórmula
## One-Way ANOVA F-Test
ANOVA tests whether the means of two or more groups are significantly different by comparing between-group variance to within-group variance.
### Formula
**F = MSB / MSW**
where MSB = SSB/(k-1) is the mean square between groups and MSW = SSW/(N-k) is the mean square within groups. A large F indicates that group means differ more than expected by random chance.
ANOVA tests whether the means of two or more groups are significantly different by comparing between-group variance to within-group variance.
### Formula
**F = MSB / MSW**
where MSB = SSB/(k-1) is the mean square between groups and MSW = SSW/(N-k) is the mean square within groups. A large F indicates that group means differ more than expected by random chance.
Ejemplo Resuelto
MSB = 120, MSW = 30, k = 4 groups, N = 40 total observations.
- F = 120 / 30 = 4.000
- df1 = 4 - 1 = 3, df2 = 40 - 4 = 36
- Critical F(3,36) at alpha=0.05 ≈ 2.87
- F = 4.0 > 2.87, so groups differ significantly