ANOVA calculator
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One-way ANOVA calculator
One-way Analysis of Variance (ANOVA) is a statistical test used to determine whether there are significant differences between the means of two or more independent groups. This calculator performs one-way ANOVA and provides detailed results including F-statistic, p-value, and group statistics. The results are visualized using box plots to help you understand the distribution of values across different groups.
Calculate F-statistic and p-value
Compute sum of squares and mean squares
Display group means and sample sizes
Visualize data with box plots
Support for multiple groups comparison
How to use the ANOVA calculator
- Upload data
Upload your data file containing the groups and their corresponding values - Select value column
Select the column containing the numerical values you want to analyze - Select group column
Select the column containing the group labels - View results
The calculator will automatically compute and display: - F-statistic and p-value - Degrees of freedom - Sum of squares and mean squares - Group means and sample sizes - Box plot visualization
ANOVA calculator examples
Example 1: Plant growth study
Compare the heights of plants grown under different fertilizer treatments.
Input Data:
Group Statistics:
Treatment | N | Mean |
---|---|---|
A | 3 | 10.00 |
B | 3 | 12.03 |
C | 3 | 8.90 |
Overall | 9 | 10.31 |
ANOVA Results:
Source | SS | df | MS | F | p-value |
---|---|---|---|---|---|
Between Groups | 15.1622 | 2 | 7.5811 | 158.6744 | < 0.0001 |
Within Groups | 0.2867 | 6 | 0.0478 | - | - |
Interpretation: There is a significant difference in plant heights between treatments (p < 0.05).
Example 2: Student performance
Compare test scores across different study methods.
Input Data:
Group Statistics:
Method | N | Mean |
---|---|---|
Traditional | 2 | 83.50 |
Online | 2 | 76.50 |
Hybrid | 2 | 89.00 |
Overall | 6 | 83.00 |
ANOVA Results:
Source | SS | df | MS | F | p-value |
---|---|---|---|---|---|
Between Groups | 157.0000 | 2 | 78.5000 | 21.4091 | 0.0168 |
Within Groups | 11.0000 | 3 | 3.6667 | - | - |
Interpretation: There is a significant difference in test scores between study methods (p < 0.05).
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