Eta Squared From ANOVA F Calculator
Explicit PARTIAL eta-squared Fdfeffect/(Fdfeffect+dferror), equals ordinaryη²only single effect one-wayANOVA. Actual valid ANOVA context externally qualified. Actual independently qualified instrument/cohort/matching units; no diagnosis, causal outcome, validated personal prediction or universal clinical cutoff.
Description
Partial eta squared relates an ANOVA effect's explained variation to that effect and error.
Partial eta squared relates an ANOVA effect's explained variation to that effect and error.1
It equals ordinary eta squared only in the corresponding single-effect one-way setting. The calculation and input requirements are explained below.
When to use Eta Squared From ANOVA F Calculator
Enter nonnegative ANOVA F and integer effect and error df 1–1000000.
How to use Eta Squared From ANOVA F Calculator and how it works
- Prepare the measurements or independently established model inputs described below, with matching units and observation scope.
- Enter the required fields and run Eta Squared From ANOVA F Calculator.
- Read the result fields using the formula, output units, signs and ordering explained below.
- Correct any rejected inputs and rerun; interpret the result within the stated model and its assumptions.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| actualAnovaF | Actual Anova F. Use the units and matching context stated in the calculation below. | number | Required; nonnegative; finite; other constraints below |
| effectDegreesOfFreedom | Effect Degrees Of Freedom. Use the units and matching context stated in the calculation below. | number | Required; integer 1–1000000; finite; other constraints below |
| errorDegreesOfFreedom | Error Degrees Of Freedom. Use the units and matching context stated in the calculation below. | number | Required; integer 1–1000000; finite; other constraints below |
Enter nonnegative ANOVA F and integer effect and error df 1–1000000. Divide F times effect df by that product plus error df. Return partial eta squared as a fraction.
partialEtaSquared=F*effectDf/(F*effectDf+errorDf) Apply the input ordering, units and branch conditions stated above.
| Output field | Meaning | Value type |
|---|---|---|
| result | Object containing the calculated or selected fields below. | object |
| result.value | Numeric result under the formula and output units explained above. | number |
{
"input": {
"actualAnovaF": 4,
"effectDegreesOfFreedom": 2,
"errorDegreesOfFreedom": 8
},
"output": {
"result": {
"value": 0.5
}
}
}Limitations and assumptions
The calculation uses the supplied observations and model inputs. It does not collect measurements, select a reference population or coefficient, or establish that the model applies to the actual case. The stated branch conditions and output units remain part of the result.
All fields require explicit values. Unexpected fields, wrong types, nonfinite numbers and sparse arrays are rejected. Alignment, bounds and supported-token rules are explained above; extremely large inputs or nonfinite results can also fail. Input errors differ from successful false comparisons, unavailable-domain flags and empty match lists.
Alternative or Complementary methods
Use Cliff Delta Nonoverlap Calculator for a complementary operation: Cliff's delta compares all cross-group observation pairs.
Use Common Language Effect Size Calculator for a complementary operation: Common-language effect size summarizes cross-group pairwise superiority.
References
-
Eta Squared From ANOVA F Calculator — tool.io
Similar or alternative tools
- Cliff Delta Nonoverlap Calculator
Cliff's delta compares all cross-group observation pairs.
- Common Language Effect Size Calculator
Common-language effect size summarizes cross-group pairwise superiority.