ANOVA Calculator
Calculate between-group sum of squares and mean square for one-way ANOVA with three groups. Enter group means and sizes.
How to Use the ANOVA Calculator
- Enter the mean and sample size for each of the three groups.
- Click Calculate to see the between-group statistics.
- Use SS between and df values in conjunction with within-group data for the F-test.
مرجع سريع
| من | إلى |
|---|---|
| F crit (2,30) α=0.05 | 3.32 |
| F crit (2,60) α=0.05 | 3.15 |
| F crit (2,120) α=0.05 | 3.07 |
| F > F crit | Reject H₀ |
| k=3, N=30 | df: 2, 27 |
حالات الاستخدام
- •Comparing treatment outcomes across multiple groups.
- •Analyzing student performance across different classes.
- •Testing manufacturing process differences across machines.
الصيغة
SSB = Σ nᵢ(x̄ᵢ − x̄)². MSB = SSB / (k−1). F = MSB / MSW. k = number of groups.
الأسئلة الشائعة
What is ANOVA?
Analysis of Variance tests whether means of three or more groups are significantly different.
What do I need for a full F-test?
You need within-group variance (MSW) too. This calculator gives between-group statistics from summary data.
What are degrees of freedom?
df between = k−1 (groups minus 1). df within = N−k (total observations minus groups).