One-Way ANOVA Calculation by Hand
Introduction & Importance
One-Way ANOVA is a statistical test used to compare the means of two or more groups. Calculating it by hand helps understand the underlying mathematics and assumptions.
How to Use This Calculator
- Enter the sample size (n), mean, and standard deviation (SD) for each group.
- Click ‘Calculate’.
- View the results and chart below.
Formula & Methodology
The formula for One-Way ANOVA is:
F = (n1 + n2 – 2) / (2 * n1 * n2) * ((n1 * (mean1 – mean2)^2) + (n2 * (mean2 – mean3)^2))
Real-World Examples
Data & Statistics
| Group | n | Mean | SD |
|---|---|---|---|
| 1 | 10 | 50 | 5 |
| 2 | 15 | 55 | 6 |
Expert Tips
- Ensure your data meets the assumptions of One-Way ANOVA.
- Use a significance level (alpha) of 0.05 for most cases.
- Consider using a post-hoc test if you reject the null hypothesis.
Interactive FAQ
What is the null hypothesis for One-Way ANOVA?
The null hypothesis (H0) for One-Way ANOVA is that the means of all groups are equal.
Learn more about ANOVA from Statistics How To. Read about ANOVA in Nature.