What is One-Way ANOVA?

One-Way ANOVA (Analysis of Variance) compares the means of three or more independent groups to see if they are significantly different from each other.

What does the F-statistic tell us?

The F-statistic compares the variance between groups to the variance within groups. A higher F-value suggests the group means are more different than would be expected by chance.

What if the p-value is significant?

A significant p-value (e.g., < 0.05) means at least one group mean is different from the others. Post-hoc tests are usually needed to find out exactly which groups differ.

One-Way ANOVA Calculator

Perform Analysis of Variance to compare means of 3 or more groups.

Data Groups

Group A Data

Group B Data

Group C Data

Significance Level (α)

F-Statistic

0

p-value = 1

No Significant Difference

There is no significant difference between the group means (p >= 0.05).

ANOVA Source Table

Source	MS	F
Between Groups	0	0
Within Groups	0
Total

F-Statistic Formula

MS Between

MS Within

Frequently Asked Questions

How to Use

About the ANOVA (One-Way)

What it calculates

This anova (one-way) solves mathematical and statistical problems using standard formulas. Compare means of 3+ groups using F-test.

When to use it

Use for homework, data analysis, exam prep, or quick verification of manual calculations.

Example

Adjust the inputs above to model your specific scenario with the ANOVA (One-Way).

Explore More

One-Way ANOVA Calculator

Data Groups

0

No Significant Difference

ANOVA Source Table

About the ANOVA (One-Way)

Related Calculators

Chi-Square

p-value

Relative Risk

T-Test

Z-Score

Z-Test