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One-Way ANOVA Calculator

Calculate ANOVA table, F statistic, p-value, eta squared, and omega squared.

Input

Configure inputs first. Final results, visuals, downloads, and copy summary remain hidden until Calculate ANOVA succeeds.

Input mode

Manual inputLocal CSV input

GroupsOne group per line, such as A: 8, 9, 6.

Alpha

What This Tool Does

The One-Way ANOVA Calculator compares group means only after Calculate ANOVA is clicked and reports effect sizes with visible assumptions.

Method

The calculator partitions total variability into between-group and within-group sums of squares and evaluates the F statistic.

Worked Example

Three group rows such as A: 8, 9, 6; B: 10, 11, 9; C: 5, 7, 6 produce an ANOVA table after calculation.

Common Mistakes

Treating a significant F test as identifying which groups differ.
Ignoring variance and residual assumptions.

Limitations

Post-hoc tests are out of scope.
Repeated-measures and multi-factor ANOVA are out of scope.

References

NIST e-Handbook: ANOVA: NIST/SEMATECH e-Handbook of Statistical Methods, product and process comparisons using ANOVA.
NIST e-Handbook: Variance Assumptions: NIST/SEMATECH e-Handbook of Statistical Methods, equality of variance assumptions for classical tests.

What does ANOVA test?

It tests whether group means are all equal under the model assumptions.

Does ANOVA identify the different groups?

No. A significant omnibus F test does not identify specific pair differences.

What is eta squared?

Eta squared estimates the share of total variability attributed to group differences.

Why not many t-tests?

Repeated t-tests inflate false-positive risk unless adjusted.

Does the One-Way ANOVA Calculator calculate automatically while I type?

No. Inputs and CSV previews never produce final statistics until the explicit calculate button is clicked.

Are CSV files uploaded?

No. Selected CSV files are processed locally in the browser. ScholarTool does not upload the file to a third-party calculation or data-analysis API.

Can a p-value prove a hypothesis?

No. A p-value is evaluated against the selected alpha level under stated assumptions; it does not prove the null or alternative hypothesis.

Engineering disclaimer

This statistics tool is intended for education, planning, and preliminary analysis. Review assumptions, study design, and professional statistical judgement before using results in research, engineering, safety, regulatory, or compliance decisions. ScholarTool does not prove hypotheses or replace qualified analysis.

Need Professional Support?

ScholarTool is powered by ScholarEase Consultancy Services LLP. Professional engineering, simulation, research, and technical documentation support is available through the connected services website.

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Last reviewed: 2026-07-07

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Engineering disclaimer

One-Way ANOVA Calculator

Input

What This Tool Does

Method

Worked Example

Common Mistakes

Limitations

References

Related Tools

Engineering disclaimer

Need Professional Support?

One-Way ANOVA Calculator

Input

What This Tool Does

Method

Worked Example

Common Mistakes

Limitations

References

Related Tools

Engineering disclaimer

Need Professional Support?