Statistics

ANOVA Calculator

Compare group means using a one-way ANOVA to produce the F statistic and associated p-value.

anovaf-testvariance analysis
One-way ANOVA

Provide each group on its own line to test for mean differences.

F statistic
23.4706
Degrees of freedom (between, within)
2, 6
MS between
44.3333
MS within
1.8889
p-value
0.001456

F statistic

F = MS_between / MS_within

The calculator partitions sums of squares into between- and within-group components, then evaluates the F distribution for the reported degrees of freedom.

How to use

  1. Enter each group on its own line with comma-separated values.
  2. Ensure each group contains at least two observations.
  3. Review SS, MS, degrees of freedom, F statistic, and p-value.

Example

Input: Groups = {12,14,15} / {18,17,19} / {21,20,23}

Output: F ≈ 16.5, p ≈ 0.003

Student-friendly breakdown

This walkthrough emphasizes the most searched ideas for ANOVA Calculator: anova calculator, one way anova calculator, anova table generator, anova f statistic calculator. Start with the formula above, then follow the guided steps to double-check your work. For quick revision, highlight the givens, plug into the equation, and finish by verifying your units.

Need more support? Use the links below to open the long-form guide, browse additional examples, or hop into adjacent calculators within the same topic. Each resource is interlinked so crawlers (and readers) can discover the next best action within a couple of clicks—one of the easiest ways to lift topical authority.

Deep dive & study plan

The ANOVA Calculator is a go-to tool whenever you need to runs a one-way anova across multiple groups.. It focuses on anova, f-test, variance analysis, which means searchers often arrive with intent-heavy queries like “how to anova calculator quickly” or “anova calculator formula explained.” Use this calculator to capture those intents and keep learners on the page long enough to send positive engagement signals.

Under the hood, the calculator leans on the calculator partitions sums of squares into between- and within-group components, then evaluates the f distribution for the reported degrees of freedom.—that’s why we surface the full expression (“F = MS_between / MS_within”) directly above the interactive widget. When you embed that formula inside H2s or supporting paragraphs, you help both humans and crawlers understand what entity the page represents.

Execution matters as much as the math. Follow the built-in procedure: Step 1: Enter each group on its own line with comma-separated values. Step 2: Ensure each group contains at least two observations. Step 3: Review SS, MS, degrees of freedom, F statistic, and p-value.. Each numbered instruction is short enough to scan on mobile but descriptive enough to satisfy Google’s Helpful Content guidelines. Encourage students to jot down units, double-check signs, and compare answers with the Example card to build confidence.

The Example section itself is packed with semantic clues: “Groups = {12,14,15} / {18,17,19} / {21,20,23}” leading to “F ≈ 16.5, p ≈ 0.003.” Pepper similar narratives throughout your copy (and internal links from related guides) so canonical search intents are answered without pogo-sticking back to Google.

Quick retention checklist

  • Speak the formula aloud (or annotate it) so the relationships stick.
  • Write each step in your own words and compare with the numbered list above.
  • Swap in new numbers for the Example to make sure the calculator (and your logic) handles edge cases.
  • Link out to at least two related calculators to keep readers exploring your topical hub.

FAQ & notes

Does it support post-hoc tests?

This panel focuses on the omnibus F test. Export the group summaries to apply your preferred post-hoc comparison.

Can I mix group sizes?

Yes. Unequal group sizes are supported as long as each group has at least two observations.

What formula does the ANOVA Calculator use?

The calculator partitions sums of squares into between- and within-group components, then evaluates the F distribution for the reported degrees of freedom.

How do I use the ANOVA Calculator?

Enter each group on its own line with comma-separated values. Ensure each group contains at least two observations. Review SS, MS, degrees of freedom, F statistic, and p-value.