One-Way ANOVA Calculator for Independent Measures
This calculator performs a one-way analysis of variance (ANOVA) for independent measures, providing full details of the calculation including sum of squares, mean squares, and the F-ratio.
When to Use
Use one-way ANOVA when you want to compare the means of three or more independent groups to determine whether there are statistically significant differences between them.
Requirements
- Three or more independent groups
- Dependent variable is continuous (interval/ratio)
- Observations are independent
- Approximately normal distribution within each group
- Homogeneity of variances (equal variances across groups)
Null Hypothesis
H₀: All group means are equal (μ₁ = μ₂ = μ₃ = ... = μₖ)
ANOVA Table Components
SS (Sum of Squares): Measures variation
df (Degrees of Freedom): Number of independent values
MS (Mean Square): SS divided by df
F-ratio: MS between / MS within
