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ANOVA Calculator

Perform one-way Analysis of Variance (ANOVA) to compare means across multiple groups. Calculate F-statistic, p-value, and determine statistical significance.

📊 Enter Group Data

⚠️ You need at least 2 groups with 2+ values each to perform ANOVA.

📈 Key Results

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F-statistic
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P-value
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Groups
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Total N

📊 Group Statistics

Group N Mean Variance

📋 ANOVA Table

Source SS df MS F
Between Groups
Within Groups -
Total - -

💡 How to Use This Tool

Perform one-way ANOVA analysis in just a few steps:

1

Enter Group Data

Input numbers for each group, separated by commas or spaces.

2

Add More Groups

Click "Add Group" to compare more groups (minimum 2).

3

Choose Significance Level

Select your alpha level (0.05 is most common).

4

View Results

See F-statistic, p-value, and complete ANOVA table.

📖 About ANOVA Calculator

What is ANOVA?

ANOVA (Analysis of Variance) is a statistical method used to compare means across three or more groups to determine if at least one group mean is significantly different from the others. It's one of the most widely used statistical tests in research and data analysis.

How ANOVA Works

The F-Statistic

ANOVA calculates an F-statistic by comparing:

  • Between-group variance: How much group means differ from the overall mean
  • Within-group variance: How much individual observations differ within each group

A larger F-statistic indicates greater difference between groups relative to within-group variation.

The P-Value

The p-value tells you the probability of observing such differences by chance alone. A p-value less than your significance level (typically 0.05) suggests statistically significant differences.

Common Use Cases

  • A/B/C Testing: Compare conversion rates across multiple website versions
  • Medical Research: Compare treatment effects across different dosage groups
  • Education: Analyze test scores across different teaching methods
  • Marketing: Evaluate campaign performance across regions
  • Quality Control: Compare product measurements across production lines

Key Terms

  • SSB (Sum of Squares Between): Measures variation between group means
  • SSW (Sum of Squares Within): Measures variation within groups
  • SST (Sum of Squares Total): Total variation in the dataset
  • dfB (Degrees of Freedom Between): Number of groups minus 1
  • dfW (Degrees of Freedom Within): Total observations minus number of groups
  • MSB (Mean Square Between): SSB divided by dfB
  • MSW (Mean Square Within): SSW divided by dfW

Privacy & Security

All calculations happen locally in your browser using JavaScript. Your data never leaves your device - complete privacy guaranteed.

❓ Frequently Asked Questions

Yes! All calculations happen locally in your browser using JavaScript. Your data never leaves your device and is not sent to any server.
One-way ANOVA is a statistical test that compares the means of three or more independent groups to determine if there is a statistically significant difference between them. It uses a single factor (independent variable) to categorize groups.
You need at least 2 groups to perform ANOVA, but it is typically used with 3 or more groups. For comparing exactly 2 groups, a t-test is often more appropriate.
The p-value indicates the probability of observing the differences between groups by chance alone. A p-value less than 0.05 typically means the differences are statistically significant.
The F-statistic is the ratio of between-group variance to within-group variance. A larger F-value indicates greater differences between group means relative to the variation within groups.
Yes! This tool is completely free with no usage limits or hidden fees. No account or signup required.