ANOVA Effect Size Calculator
Converts an ANOVA eta-squared value to Cohen’s f. The form displays f = sqrt(eta²/(1−eta²)) beside anova effect size, using a worked condition that can be recalculated with the labeled inputs.
Set the labeled inputs
ANOVA Effect Size
The question behind anova effect size
The anova effect size page converts an ANOVA eta-squared value to Cohen’s f.
ANOVA Effect Size is limited to the statistical quantity named by the result panel. The anova effect size calculation does not silently add a population, time horizon, causal direction, or decision threshold that is absent from the fields.
How the inputs shape anova effect size
- Eta squared: For anova effect size, the worked value for eta squared is 0.14 ratio. Treat the eta squared entry (0.14 ratio) explicitly as a count, proportion, rate, estimate, or model parameter before comparing anova effect size conditions. The form enforces minimum 1e-06, maximum 0.999999.
The entries used for anova effect size must refer to one coherent analysis condition. Combining incompatible populations, periods, or measurement definitions can produce valid anova effect size arithmetic for a nonexistent study.
The arithmetic used for anova effect size
For anova effect size, match every symbol in the relationship to a labeled field before substituting numbers. ANOVA Effect Size is reported in the scale implied by the inputs and formula.
While checking anova effect size, inspect every denominator in f = sqrt(eta²/(1−eta²)). For anova effect size, a zero or near-zero denominator can make anova effect size undefined or unstable.
A fixed case for comparison
The default anova effect size condition is Eta squared = 0.14 ratio.
Eta squared of .14 corresponds to Cohen f about 0.403.
The live calculator reports Cohen f 0.40347329. Repeating one intermediate step from f = sqrt(eta²/(1−eta²)) provides a fixed anova effect size reference check for later code changes.
What the anova effect size arithmetic assumes
Effect-size labels are context-dependent; the conversion does not establish power or practical importance.
For anova effect size, power and design calculations are prospective scenarios, not guarantees. For anova effect size, their answer changes when the planned effect, variance, allocation, alpha, or attrition assumption changes.
A nearby method may answer the next question: cohen d effect size.
When anova effect size can mislead
When interpreting anova effect size, report the design inputs as assumptions and compare at least one plausible alternative before committing resources to the plan.
As a second check for anova effect size, reversing the numerator and denominator answers a different question, so retain the direction printed in f = sqrt(eta²/(1−eta²)).
Common failure modes for anova effect size
Before accepting anova effect size, compare every entered value with its label, unit, and allowed domain after reading the printed relationship from left to right.
For anova effect size, do not move a number between fields merely because the units look compatible; each label gives the number a different statistical role.
Another anova effect size failure occurs when a rounded output is reused as though it were the original measurement. Carry guard digits through calculations that depend on anova effect size, then round only the reported value.
A reproducible record of anova effect size
Report anova effect size using f = sqrt(eta²/(1−eta²)), followed by the entered values, units, exclusions, and analysis date. Name the anova effect size population or dataset boundary instead of leaving it implicit.
Keep the full calculator output with the record, including Cohen f 0.40347329. A later anova effect size review can then distinguish a changed input from a different convention or software implementation.
Questions about anova effect size
What does anova effect size represent on this page?
It is the quantity produced by f = sqrt(eta²/(1−eta²)) from the displayed eta squared. This page converts an ANOVA eta-squared value to Cohen’s f.
What should be saved with anova effect size?
Save the entered values and units for eta squared, along with the analysis date, exclusions, software or formula version, and the relationship f = sqrt(eta²/(1−eta²)). That record is sufficient to rebuild this specific anova effect size calculation.